*10. A manufacturer sells cameras for $100 each, thus the revenue is ?(?) = 100?. The cost of manufacturing x cameras per week is given by the formula ?(?) = 1250 + 10? + 0.005?2 . Find the marginal profit function, then use it to calculate how many cameras should be made and sold to maximize weekly profit. (Hint: Profit = Revenue minus Cost).
*10. A manufacturer sells cameras for $100 each, thus the revenue is ?(?) = 100?. The...
14) Maximum revenue and profit. A company manufactures and sells x cameras per week weekly price-demand and cost equations are, respectively, (40 points) p=400-0.5x and C(x) =2,000 + 200x . The What price should the company charge for the cameras, and how many cameras should be produced to maximize the weekly revenue? What is the maximum revenue? b) a) What is the maximum weekly profit? How much should the company charge for the cameras and how many cameras should be...
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A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. 4) p 400-0.lx and C(x)-25,000+135x Find the weekly revenue function. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the weekly revenue? a) b) c) Find the weekly profit function. What price should the company charge for the phones, and how many phones...
[-13 Points) DETAILS SESSCALC2 3.5.047. A manufacturer has been seling 1000 flat-screen TVs a week at $500 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of TVs sold will increase by 100 per week (a) Find the demand function (price p as a function of units sold x). px) - (b) How large a rebate should the company offer the buyer in order to maximize its revenue? (If its weekly cost function...
16.6 AmeriCam manufactures and sells motion picture cameras. The graph of the revenue and cost functions for the production and sale of 3 cameras are shown below. Both cost and revenue are in dollars. Revenue/Cost 18000 15000 12000 9000 6000 3000 Cameras Sold 1 10 20 30 40 50 60 70 80 90 100 (a) At what production/sales level does the maximum profit occur? Answer with units: (b) According to the graph, what is the maximum profit? Answer with units:...
is 10. The marginal revenue of socks given as MR = 100-2Q The marginal Cost Of socks is given as MC = 5078Q. How many socks will be produced to maximize profit а 0 b. 5 C.50 de 100
7. When the iPinch is priced at $68.95, sales will be 20,000 units/week. Market research has found that for each decrease in price of $1/unit, sales should increase by 400 units/week. This product costs $14.00/unit to make and that plant has weekly overhead costs of $12,500. Let x represent the number of units produced and then sold each week. a) Develop the linear demand function. b) Develop the revenue function.[ Note that Revenue = Price per item * Number of...
(1 point) A manufacture has been selling 1100 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 per week. a) Find the function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price. P(x) = b) How large rebate should the company offer to a buyer, order to...
Question 1 3 pts Profit Analysis Unendo, is a large computer game manufacturer. DESTINY V They have estimated that the demand function for their game "Destiny 3" is as follows... p = 95 -0.054 where p is the price of a game and q is the number of game produced and sold per week. They estimate that their cost function in dollars is... Cla) = 294 + 5000 where the fixed cost is $5000 and the marginal cost is $29...
2. Suppose the demand function relating demand and price is given by pix)- 50-0.005x. The total cost of making x units is given by C )-0.00001 x3-0,033 x2+48x+5,000 a) Find the revenue function R(x). b) Find the profit function P(x). c) How many units must be made and sold to maximize profit? Verify that you have found the maximum using d) e) f) the first derivative test. What is the maximum profit? What are the marginal cost, marginal revenue and...
Q.8 Claire builds and sells birds houses .Claire makes n bird houses in a given week and sels them for 45-n T Dollars per bird house. Her weekly costs include a fixed cost of 280 plus $8 per bird house made. Assume that Claire sells all of the bird houses that she makes a) Write an equation to represent her total weekly cost b) Write an equation to represent her weekly revenue c) Write an inequality to express the conditions...