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- Financial analysts in a company that manufactures ovens arrived at the following daily cost equation for manufacturing x ovens per day: C( x) = x 2 + 4 x + 1800. (i) Find the average total cost function,C-bar . (ii) Sketch a graph of C-bar(x) for 10 ≤ x ≤ 125. (iii) For what daily production level (to the nearest integer) is the average cost per unit at a minimum, and what is the minimum average total cost per oven (to the nearest cent)? C-bar(x)=x^2+4x+1800/xthe monthly profit from the sale of a product is given by P=24x-0.2^2-150 what level of production maximum profit? what is the maximum possible profit?A commodity has a demand function modeled by p=36-4x, and a total cost function modeled by C=2x^2 +6, where x is the number of units. A) What price yields a maximum profit? B) When the profit is maximized, what is the average cost per unit?
- The cost function for producing x items is C(x) =30,000 + 150x -0.10x2 The revenue function is R(x) = 800x -0.6x2 What is the production level that maximizes profits?A company produces chocolate Easter bunnies at a cost per unit of 0.60 + 0.005x dollars, where x is the number produced. If the price on the competitive market for a bunny this size is $5.00, how many should the company produce to maximize its profit?The cost function for producing x items is C(x) =30,000 + 150x - 0.10x2 The revenue function is R(x) = 800x - 0.6x2 What is the production level that maximizes revenue?
- What is the profit function?The demand for a certain model smartphone is given by p = 400 - 0.01x, where p denotes the unit price in dollars and x denotes the monthly quantity demanded. How many phones should be produced in order to maximize the revenue ? What price should be charged in order to maximize the revenue?The estimated monthly profit realizable by abc corporation for manufacturing and selling x units of it's product is p(x)=-4x²+24000x-100,000dollars how many products should be produced per month in order to maximize it's profit of the company?
- AutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $49,000 and a production cost of $7 for each timer manufactured. The timers sell for $14each. (a) What is the cost function C(x)?C(x) = (b) What is the revenue function R(x)?R(x) = (c) What is the profit function P(x)?P(x) = (d) Compute the profit (loss) corresponding to production levels of 2000, 6000, and 15,000 timers, respectively. (Input a negative value to indicate a loss.) 2000 timers $ 6000 timers $ 15,000 timers $A manufacturer has a monthly fixed cost of $36,000 and a production cost of $7 for each unit produced. The product sells for $11/unit. a. What is the profit function? b. Compute the profit (loss) corresponding to production levels of 7,000 and 11,000 units.How can the graph of f(x) = -(x -1 ) 2 +6 be obtained from the graph of y = x 2?