<> Looking for a way to get detailed step-by-step solutions to your math problems? Create a T separating the two ( ). c) At what horizontal distance from the face of the cliff will the projectile strike the water? The manufacturer of digital cameras in Problem 11 has provided the. c`J2_u*Vh)`gRjjx&TR%HHAvS Bl=t^>Py3 |0|BkaWD([00~n times with 26 left over. And then we can distribute this 200. . Choose an expert and meet online. Quadratic Word Problems Involving Maxima or Minima LSCO 5/2011 Page 1 of 4 Problem A Instructions The max revenue will occur when you lower the rent to $300 - 5(10) = $250 and the max revenue will be. price, and that makes sense. Watch Sal work through a harder Quadratic and exponential word problem. The revenue EMBED Equation.DSMT4 is EMBED Equation.DSMT4 What unit price EMBED Equation.DSMT4 should be charged to maximize revenue? With a little perseverance, anyone can understand even the most complicated mathematical problems. And let's just remind This question can be answered using common sense by simply looking at the choices : The first choice gives the option of $ 1.35 which will be too less as the costs won't be recovered. endstream endobj 69 0 obj <> endobj 70 0 obj <>/Rotate 0/Type/Page>> endobj 71 0 obj <>stream Our explanations are clear and easy to follow, so you can get the information you need quickly and efficiently. 2 A]F$Ib o * `!g A]F$Ib. Once they are set up, we will solve them in exactly the same way we solved the So let's multiply that, <> You will be more productive and engaged if you work on tasks that you enjoy. )l; 3 " ` ? Quadratic Word Problems Day Four Ex. Proudly created with. h3 CJ UVaJ j h3 Uh3 h : 5CJ aJ h 5CJ aJ hC! 5CJ aJ hJ hJ 5CJ aJ $ % & ! The revenue function is R (x) = xp, where x is the number of items sold and p is the price per item. Step 2: Factor the quadratic equation. February 26, 2020. # $ & ' ( ? Using quadratic functions to solve problems on maximizing The vertex is located at (10, 250,000). this is gonna be the P axis, we know it's gonna be a Using your sketch from step 3, nd the minimum or maximum value of the quantity you want to optimize. The cost is $0.65 a loaf. MathHelp.com The height EMBED Equation.DSMT4 of the projectile above the water is given by EMBED Equation.DSMT4 where EMBED Equation.DSMT4 is the horizontal distance of the projectile from the face of the cliff. The grocer. This income is only how much Max gets back in total from the product. @6O0u+]bD>D1PQEY ovI D d %PDF-1.4 % However, if more than 20 people (up to the 8) The price EMBED Equation.DSMT4 (in dollars) and the quantity EMBED Equation.DSMT4 sold of a certain product obey the demand equation EMBED Equation.DSMT4 EMBED Equation.DSMT4 . 7. Currently, 800 units are rented at $300/month. 2 \)Z^qGAs7 D `! \)Z^qGAs7( R x]QMKQ=V0jF3A}1$TSNhmEE] So that's going to be 1. to be 2 times $9.30, that's $18.60, but it's 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. Revenue word problems quadratics - The vertex is located at (10, 250,000). . About the Author. Halfway between your two roots are when you hit the maximum point, so that's another way that At n=5; Revenue = 500 x 50 = 25000. 2) Among all pairs of numbers whose sum is 100, find a pair whose product is as large as possible. % She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship EMBED Equation.3 . 9) The price EMBED Equation.DSMT4 (in dollars) and the quantity EMBED Equation.DSMT4 sold of a certain product obey the demand equation EMBED Equation.DSMT4 EMBED Equation.DSMT4 . looking at this original one. 2 D4hLD s 20`! D4hLD( R x]Q=KP=(NZm.-VtQVZSJVps?$wq=48P6O^_>KZQ1HF ^7KTt8JVl"Y`'|Wr/Q7V{N{jz A better equation would be R(x) = (9.3 + 0.1x)(2400-20x), where R is equal to price (9.3 + 0.1x) multiplied by subscribers (2400-20x) and x is equal to the number of $0.1 increases to the price. Quiz & Worksheet Goals. Price = independent variable and demand = dependent variable. -1 You can build a bright future by taking advantage of opportunities and planning for success. The vertex is located at (10, 250,000). And the current monthly And this is when you charge so much, you're gonna lose all your subscribers and you'll have no income. But we're going to lose 20 subscribers, so lose, so I'm gonna |qtgtsPC/#8>H1n9>SK`XE9z4Xo7xl[`!t>F'#MLp{e=YEOP(%"1xASiX. %PDF-1.4 To solve quadratic max/min problems, translate to create the quadratic model. Its height, h, in feet, above the ground is modeled by the function h = -16t 2 + v 0 t + 64 where t is the time, in seconds, since the projectile was launched and v 0 is the initial velocity. The quantity of cellp. I am passionate about my career and enjoy helping others achieve their career goals. Step 3: After the problem has been factored we will complete a step called the "T" chart. So subscribers is going {-400/2(-40)} = 5. This can also be written as dC/dx -- this form allows you to see that the units of cost per item more clearly. Curve obtained when graphing a quadratic function . Our team of teachers is here to help you with whatever you need. You charge $40 a day to rent a board and you have 156 clients. Extra Prractice quadratic word problems section 1.1 thru 1.4. Very precise shows each and every calculation step by step which visualizes our mistakes which we have done on our first try. x must be less than or equal to 40 because you only have 1600 units total. order to maximize the income, in order to maximize the income from the print newspaper subscriptions? our current price is P, and then for every one of those dimes, we're going to lose 20 subscribers. 12. And so, if we wanted to write 6) A farmer has 3000 feet of fence available to enclose a rectangular field. b So this graph, I as a function of P, so this is, if this, so if this is the I If your price goes up, you're going to have fewer subscribers, so they tell us right over here. Look no further than our website. It is used to solve problems and to understand the world around us. 6. Multiplying this out gives us: Find the number of units, \displaystyle x, that a company must sell to break even if the profit equation is \displaystyle P(x)=500x-10,000. the price per subscriber, times the price per subscriber. h/ CJ UVaJ j! Completing the Square - Word Problems 7. both sides by 200, you get P is equal to 4260 over 200. The equation for the height of the ball as a function of time is quadratic . a local newspaper company sells print subscriptions Direct link to eanthonyazar's post Anybody else use the deri, Posted 8 months ago. *Km\@3`=72 2 Qy_|u.F `! Qy_|u.F( R x]Q.Q=NLD+*?ii+Flt,xRc%Q2;=! h/ CJ UVaJ h : h h/ jZ h_ h/ EHUjW gO Maximizing Revenue Word Problems Involving Quadratic. FhWdg!kT4"HIJ0K for a sandwich in order to maximize its revenue. Solve the problem: Graph the function, determine the reasonable domain for the problem, and determine a strategy for determining the maximum or minimum value of the function, then calculate that value. really the steps in solving problems are clearly explained and it helps you understand more what you are doing. (d) At what price is the company selling the cameras at when the revenue is maximized? Making educational experiences better for everyone. Another way to do it Revenue Word Problem You are managing a 1600 unit apartment complex. # h/ CJ UVaJ j h/ Uj h_ h_ EHUj gO over 2 times negative 200, so that's gonna be negative 400. If the demand price is a linear function, then revenue is a quadratic function. 1. 84 0 obj <>/Filter/FlateDecode/ID[<2BA88866FC2ED24CA760502F6F44A532>]/Index[68 32]/Info 67 0 R/Length 82/Prev 147803/Root 69 0 R/Size 100/Type/XRef/W[1 2 1]>>stream A company has determined that if the price of an item is $40, then 150 will be demanded because if we subtract we get the amount that has been increased and once we divide with 0.1 we get how much it has been increased wrt 0.1 so we can directly multiply with 20 to see how many subscribers we have gained or lost)) if we repeat this process for 2 and 3 we see there is a slight profit for the third option.. What is that revenue if you need any other stuff in math, please use our google custom search here. Let's first take a minute to understand this problem and what it means. Find the roots: r2 12r 35 0 2. Distance from line to point calculator 3d, Graphs of functions and their derivatives, How to find the slope of a secant line between two points, How to find vertex from standard form quadratic, Which calculator key changes a fraction to a decimal. B is this right over here, If a quadratic polynomial is equated to zero, then we can call it a quadratic equation. in terms of hundredths, so this would be the same thing as 10 and, let's see, if you multiply Direct link to Dina Doumani's post you can get the the decre, Posted 4 years ago. Most questions answered within 4 hours. *, 2023 by HEAD OF THE CLASS. h3 CJ UVaJ j h] h3 EHUj"'K [l5PwR? ? SDysC Pbp .gC}?y!~:lPbH4"p5;evr% @1vDg7KG5JEx{3y:-mFgoWv2RqdE_eNuQK=SKg;p3Mj^\;v?e+>C 1Zq:#1i # That's $10.65. h3 CJ UVaJ j h] h3 EHUj'K negative of this coefficient, negative b over two times a. If you're seeing this message, it means we're having trouble loading external resources on our website. This can be quickly punched into a calculator where the vertex can be found, multiplied by 0.1 and then added to the original price. MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : Solution : = (-10x + 550) x R(x) = -10x2 + 550x (c) To find the number of Please look below to see a sample problem that we will be analyzing: ANALYSIS:*Please refer below to see the steps taken to solve the sample geometry problem given above.*. Check out our website for a wide variety of solutions to fit your needs. halfway in between those two is going to be where we hit our maximum. The break-even point occurs when the total revenue equals the total cost - or, in other words, when the profit is zero. (a) Find the linear price-demand function. That's one way to do it. Absolute Maxima and Minima Word Problems Class Work 1. hbbd``b` $AC $ j $X4:'zb"@F_a`bdd100RDg\ "+ So your maximum point is So let's think a little .10=1/10, so the reciprocal is 10/1. Expression a quadratic function in three different forms: standard, vertex, and factored; Finding a quadratic function given three distinct points on its graph; Finding a function to model a real-life parabola; Solving quadratic equations algebraically and graphically; Solving real life problems by creating and using quadratic models Direct link to Casey Edmundson's post These questions are so ha, Posted 6 years ago. The max revenue will occur when you lower the rent to $300 - 5(10) = $250 and the . Determine the direction of opening 4. o$[a^*lY6hE@Z; hc CJ UVaJ j hc Uhc h h/ j, h_ h/ EHUjJ* h_ h/ EHUjW gO that in terms of dollars because we're talking about a price, we would want to write this 2 ZW>58D `! ZW>58D( R x]QMKQ=f~hQD}Q$TSNhm}6--ZE?Pid=x~{ $@? MPM2DI UNIT 6: QUADRATIC WORD PROBLEMS PART 4b SOLVING QUADRATIC WORD PROBLEMS - A RANDOM MIX - EXAMPLE Nancy walks 15 m diagonally across a rectangular field. a Question after rewatching this video 3 times, i decided to skip this question, its actually super easy , essentially what you do is use the options itself to get the answer.. now first option is wrong obviously, the last one gives us negative subscribers (how?, well subtract 9.3 from it and divide it by 0.1 and then multiply it by 20 (why did we do that? Google Classroom. negative is a positive. Recall that the x-coordinate of the maximum point what is the total time the ball stays in the air. She then returns to her starting position along the . The vertex is located at (10, 250,000). l"1X[00Yqe6 I'd recommend this app to anyone, anyday, i have the paid version because I have a math heavy semester, great for quickly checking results of self-made exercises, it's always accurate, I havent found a time where it's been wrong yet. as a function of price, is 4260 P minus 200 P squared. Looking for a little help with your homework? What is the maximum revenue? Follow 1 QUADRATIC WORD PROBLEMS Date Pages Text Title Practice Day 3: Tue Feb 22 Day 4: Wed Feb 23 2-3 Quadratic Word Problems Handout Day 1: Thu Feb 24 Day 2: Fri Feb 25 4-5 4.6 Quadratic Word Problems Page 391-393 #11, 14, 15, 18, 20 Day 3: Mon Feb8 Day 4: Tue Mar 1 6-7 4.7 Quadratic Word Problems Page 404-407 #12, 14, 16, 17, 18 Day 1: Wed Mar 2 3  @@ " ? We should note the two limiting cases. To do these. The midpoint of these zeros is (50-20)2=15. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. how much we've gone above $9.30, and if we want to figure out how many dimes we are above $9.30, we can just divide that by $0.10. (d) What is the price of each item when maximum revenue is achieved ? If you're looking for detailed, step-by-step answers, you've come to the right place. parabola will actually have a maximum point. 3 " ` ? So before I actually even do that, let me simplify this a little bit. h/ CJ UVaJ jQ; h/ h/ EHUji!gO 5 0 obj Sal solves a word problem about a ball being shot in the air. KA?H1  : aM,,He` @201d++&1X +|-?TT W-L$$bbI9W8|a# 5y;m'^Fn6 p{|@ Then solve the model for the solutions (that is, the x -intercepts). Keep up with the latest news and information by subscribing to our RSS feed. C (x) has a minimum value of 120 thousands for x = 2000 and the fixed cost is equal to 200 thousands. Word Problems with Quadratic Functions Feb. 14, 2013 3 likes 28,064 views Download Now Download to read offline Education Mrs. LaPage Follow Advertisement Recommended Solving Word Problems Involving Quadratic Equations kliegey524 49.7k views 7 slides Quadratic equation word problems jchartiersjsd 11.4k views 1 slide b Solve using the quadratic formula where a = 195, b = 20, and c = .21. subtract 20 subscribers for every, for every dime above $9.30. So their income, let's Now in this little, in the problem, they tell us that the Great app! $9.30, this would give us the absolute price increase, price, it is a quadratic, and I actually like to write Maximizing Revenue Word Problem (Completing the Square): Straightforward Worked Example! HXr`(p8,eAl=,pJcF @m 03z,Lj5YnAK V r>*@*tL.p)'2 @A5Y ?A|`G TJZtw&"//nJYR1A*WB G,Y_E(wPn de6fB AHja,H"!ZHANhZ~I&:LHqfa;%@EIqgx2 Quadratic Word Problems Name_____ Date_____ T t2^0r1^4Q wKCuYtcaI XSdoYfKt^wkaprRen ]LULxCr.l c TAOlVlZ hrMiigQhTt^sV rr]eKsCeJrOv\exdh.-1-1) A fireworks rocket is launched from a hill above a lake. out, what are the P values that it gets to zero income, and then the one that's Welcome to MathPortal. 6. When you solve problems using equations, your solution must 12. Maximizing Revenue Word Problems Involving Quadratic. do you set up subscribers as a function of price? And luckily, we see that choice, we see that choice right over there. h/ CJ UVaJ h/ j h/ U # g r N O f g h i xtpx hbMp hrY hJ hc j> h/ h/ EHUj"gO This is going to be the same c) What quantity EMBED Equation.DSMT4 maximizes revenue? Plot y = Revenue is presented as the function of the projected decrease of price Then solve for the vertex, where the maximum or minimum value occurs. this thing equal zero? MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : Solution : = (-10x + 550) x R(x) = -10x2 + 550x (c) To find the number of. .0CZRc:lcYaqy(O7`l@mK-"-ohL_)%eB2$Zhx)nOhJof(q4AZL}B|">c9(f~@Y. Lesson 4 - Properties of Quadratics. answered 11/03/17. You are managing a 1600 unit apartment complex. Get help from expert teachers to improve your grades. So you get 4,260 minus 200 P. So we now have a simplified subscribers as a function of price, and now we can substitute subscription price. ]-I?y~,N(9by wV@Q(/9.,4^\M`Mf}EW[h>J[d+!Q$*(~-`Qfe7En"3:Js D/kVFB{zj4;&?CA^up{2fF8 But currently photos are not working but still amazing. So subscribers is going 6. - YouTube 0:00 / 8:04 Maximizing Revenue Word Problem (Completing the Square): Straightforward. price-demand function is linear, then the revenue function will be a quadratic function. For each of the quadratic functions provided, students will need to: 1. Solve each using the quadratic equation (4 questions) Properties of Functions Intro (Thursday, March 10) Properties Lab. I really love how it understands my handwriting too, genuinely has helped me as a student understand the problems when I can't understand them in class, this app is constantly helping me throughout my mathematics problems This app deserves 5 stars . Find the maximum revenue Luci can make selling cookies in one day. First, add 5 to both sides. Answer. b) What is the revenue if 100 units are sold? Answer: Profit is the difference between the amount of money made, called revenue, and the costs involved in making that money. (a) Let x the number of sandwiches and y be the cost per sandwich. hb```f``Rg`a``aa`@ +PcTUD3j$\[TR xAG#qg`6`(d 4: `= O2;;i+!aiGXX2} 0 ;t, you can then substitute back in here and then you're So what's negative b? Find the integers. 5 xcdd``gd``ba V d,FYzP1n:&&! need to figure out what price gets us to this maximum point, and this price, this is Just to name a few. This question can be answered using common sense by simply looking at the choices : Sometimes math can be surprising, it's best not to take chances unless your under extreme time pressure. Since the relationship between price and demand is linear, we can form a equation. equal to zero either when P is equal to zero or, or when 4260, 4260 minus This is kind of the crux of it. c $  A ? t Ekh!&f2yd^(Qw"-Zi[g 6=NWy*Dc||9i{? D d The revenue R is the product R = n*P, or R = n*(800-5*(n-100)) = 800n - 5n^2 + 500n = 1300n - 5n^2 = 5n*(260-n). downward opening parabola and that's good because we Solving projectile problems with quadratic equations Example: A projectile is launched from a tower into the air with initial velocity of 48 feet per second. What is the maximum revenue? axis, that's the I axis, this is the P axis right over here, we know that it's gonna be, so Page 6. coordinate of the vertex. The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $\$ 470$ per person per day if exactly 20 people sign up for the cruise. h_ CJ UVaJ jt h_ h_ EHUj gO revenue ? . Then interpret the variables to figure out which number from the vertex you need, where, and with what units. 3 " ` ? Well, halfway between zero and that is just going to be half of this. Direct link to India Barrow's post don't we only get like 50, Posted 2 years ago. What can you charge to earn a maximum revenue. 7) A farmer with 4000 meters of fencing material wants to enclose a rectangular plot that borders on a river. Step 5: Use the formula: (r+s)/2, where r and s are the x-intercepts, to solve for the axis of symmetry. Step 3: Create your equation for revenue in the form: Revenue= (Price)(Number of.). We have 2400 subscribers. is going to be equal to 10 and 13, 13, 13/20. If you're looking for a homework key that will help you get the best grades, look no further than our collection of expert-approved tips. Quadratic equations are also used when . You're gonna have zero income to be equal to 2400 minus 200 P, minus 200 P, and then negative 200 number of subscribers they have, so S for subscribers, times going to be the vertex, this is going to be the P 2 AUczT5xq. `! AUczT5xq. U xT=hSQ>LDWvHcCiuI IcDb6! If this is not the case, then it is better to use some other method. YES, u can skip it and attempt it in the last if u want 800. A downward opening to be the maximum point. hVn8> (.EPp'4Ig+7(iA%y. 5,X0cahadX9) qH2Or}D"<73E*x-=ggYh*+Wc]u84$&lIOf3SlbU<14b(JgiJ >-=&ygtFk:<3dqJnS3ZWiqAdm)r_-LF.ie$c2*YL*;uA9Hs*M6}ou^8mVD{P}w>rb~D{s}aKhgn~wF\6.nhF@'0d2aDDWZ'GY^2OjdUEw7`u$EY-0;@4][\ "Pi+ZLGS4A !%mTL6*BkJLFDZ1J8/|W}5glaeL+(.$BX0pC#S|'_MR7.\j{yYO1]?. What is the maximum revenue? The quadratic function C (x) = a x 2 + b x + c represents the cost, in thousands of Dollars, of producing x items. Currently, 800 units are rented at $300/month. The max revenue will occur when you lower the rent to $300 - 5(10) = $250 and the max revenue will be 3 " ` ? Dividing by 2 gives x = 18 2 = 9. c) A number subtracted from 9 is equal to 2 times the number. For example, in the sample problem above, it asks you to solve for the fare that will produce the maximum revenue. . 2023 by HEAD OF THE CLASS. Your factory produces lemon-scented widgets. Check out our solutions for all your homework help needs! So we need to figure out, we Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. That's interesting. We previously noted that a linear demand price function has a negative slope. You can say, when does 1. y= 4x2 56x+96 The revenue R is the product R = n*P, or R = n*(800-5*(n-100)) = 800n - 5n^2 + 500n = 1300n - 5n^2 = 5n*(260-n). bit about their income. That's this price over here. Its easier to see this with fractions. (c) Find the number of items sold that will give the maximum revenue. d) What price should the company charge to maximize revenue? d) Find the critical points (eliminate those not in the interval.) Direct link to teralynn.steele's post Why does he divide by .10, Posted 3 years ago. How do you set up, how > " q` bjbjqPqP ., : : L L L L 4 \ \ \ \ ' ) ) ) ) ) ) $ ^ h M " M \ \ / b 8 \ \ ' ' \ 0' L O ' x 0 h O h h | M M D L L Quadratic Functions Word Problems 1 1) The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price EMBED Equation.DSMT4 that it charges. We often use this method when the leading coefficient is equal to 1 or -1. So this is probably the most interesting part of this problem. Direct link to camilo parets's post after rewatching this vid, Posted 2 years ago. the vertex is going to be the coefficient, the The revenue is What unit price should be charged to maximize revenue? can add this to that, and we are going to 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, The Periodic Chart of Table of the Elements. .hrCp``I)$5!dP"CXY` wg D d Direct link to Andrew Escobedo's post Sometimes math can be sur, Posted 5 years ago. What ticket price will produce the greatest revenue? MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : A company has determined that if the price of an item is $40, then 150 will be demanded by consumers. ]ks}v_%xx;n%v~F"a**?zU^yl2f] &u373 lqkPR The breakeven point occurs where profit is zero or when revenue equals cost. Because the question says maximize we need to find the . form I is equal to a P squared plus b P plus C, instead This PDF provides a full solution to the problem. Determine whether the graph has a maximum value or a minimum value. - Graphing word problems, discriminant values, revenue problems, Pg 258 # 1,3, 4,5,18, 21: Questions on this Exam (without the numbers, or the numbers are different from the exam) Get a free answer to a quick problem. xi\XT hrY hJ j h] h3 EHUj'K I love spending time with my family and friends. The calculator uses the following formula: x = (-b D) / 2a, where D = b 2 - 4ac This formula calculates the solution of quadratic equations (ax 2 +bx+c=0) where x is unknown, a is the quadratic coefficient (a 0), b is the linear coefficient and c represents the equation's constant. The manufacturer of digital cameras in Problem 11 has provided the, how do you make an equation for a trend line. If you need help, our customer service team is available 24/7. Example 10.7.6. The revenue equation based on the survey is R = (500 - 10x) (20 + 1x). Deli has to charge $4.8 for a sandwich in order to maximize its revenue. This app is amazing and a life saver. Find the vertex 2. For Free. How many items does the company have to sell each week to maximize profit? Notice that the result is a quadratic equation. A market survey shows that for every Clarify math problem Math is the study of numbers, shapes, and patterns. Part A: Revenue and Numeric Problems. A market survey has indicated that for each $5 you decrease the rent you will get by 20 new leases. Determine the number of subscribers needed for the publisher to break-even. (Hint: express the product as a function of x) 3) Among all rectangles that have a perimeter of 20 feet, find the dimensions of the one with the largest area. MAXIMUM PROFIT WORKSHEET KEY. The max revenue will occur when you lower the rent to $300 - 5(10) = $250 and the. Direct link to Abigail J. Wang's post To cancel out .10, you ne, Posted 7 years ago. x\Ys3qNpNRvJSe'$-Svv) Fifc/w_W? ? Assuming that he uses all of his fence material, find the length of each of the sides of the rectangle which will maximize the area. Kindly mail your feedback tov4formath@gmail.com, Graphing Linear Equations in Slope Intercept Form Worksheet, How to Graph Linear Equations in Slope Intercept Form. c) What quantity EMBED Equation.DSMT4 maximizes revenue? Step 1: Identify key information in the revenue word problem (Look above in the sample problem to see key information highlighted). This quiz covers the following topics: Equation for the vertical position of an object in freefall as a function of time. Quadratics - Revenue and Distance Objective: Solve revenue and distance applications of quadratic equa-tions. 3 " ` ? Quadratic word problems (standard form) Math > Algebra 1 > Quadratic functions & equations > Quadratic standard form . P equals that is going to be when you hit the minimum or maximum point. In one company, the number of products, P, produced per day, at a level of training of t hours, follows the following quadratic model: P = -0.375 t 2 + 10.25 t - 8 . You decide that if you raise your price by $4, you will lose 12 clients. That's the price at which you you can get the the decrease in the amount of subscribers for each 10 cent increase (for each choice ) then multiply the remaining amount with the the its selling cost.