A company has fixed costs of $540 and can produce 20 items for a total cost of $1,380. The company then sells these items to the public for $72 each. Determine each of the following functions. Enter all answers below in slope-intercept form, using exact numbers. a. Find the company's linear cost function. C(z) = 4. b. Find the company's linear profit function. P(x) = 1.

The daily demand function for x LED lights sold by a major retailer is p = 1112.5 0.75x dollars, and the average cost of sales is C = 250 + 3x dollars. Find the quantity that will maximum profit, the selling price at that quantity and the maximum profit. a) Selling LED lights will maximum profit. b) The selling price at the answer in part (a) is $ c) The maximum profit is $

Consider the following total revenue function for a hammer. R 44x 0.01x2 (a) The sale of how many hammers, x, will maximize the total revenue in dollars? x = 2200 hammers Find the maximum revenue. $48400 (b) Find the maximum revenue if production is limited to at most 1200 hammers. $ If the total revenue function for a computer is R(x) = 1000x - 35x2-x³, find the level of sales, x, that maximizes revenue and find the maximum revenue in dollars. x = R(x) = $ computers If the total cost function for producing x lamps is C(x) = 3240 + 37x+ 0.9x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units Find the minimum average cost per unit. $ If the total cost function for a product is C(x) = 10+ 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? x= units Find the minimum average cost per unit. $ Find the derivative of the function. f(x) = ex-xe

Suppose a company has fixed costs of $1500 and variable costs of (3/4)x + 1120 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 1200 − (1/4)x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.)x =  (b) Find the maximum revenue. (Round your answer to the nearest cent)$  (c) Form the profit function, P(x), from the cost and revenue functions.P(x) =         Find maximum profit. (Round your answer to the nearest cent.)$ (d) What price will maximize the profit? (Round your answer to the nearest cent.)

Find the average cost function if cost and revenue are given by C(x) = 170 + 3.6x and R(x) = 5x - 0.01x. The average cost function is C(x) =.

Given a cost function: C(x) = x² - 200x - 3500 And the following revenue function: R(x) = 6x2-400x What level of production will yield a profit of $6,000? 40 or 50 units of production 60 units of production 30 or 60 units of production 30 units of production None of these options 50 units of production

Assume that cost curves have the standard U-shape. Suppose average total cost (ATC) is at its minimum when the output is 10 units. Also, we know that marginal cost of the 9th unit is $5. What is the ATC when 10 units are produced? 1) $5. 2) Greater than $5. 3) Less than $5. 4) There isn't sufficient information to answer the question.

The cost of producing a units of stuffed alligator toys is c(x) = 0.001x² + 8x + 7000. Find the marginal cost at the production level of 1000 units. dollars/unit