Suppose that x represents the number of units that are produced and sold for a product. Suppose that the revenue for the sale of x units is given by R(x)= 23x. Suppose that the cost to produce x units is given by C(x) = 50 + 15x + 1/20x^2 a. Compute the total profit function and the per-unit average cost function. b. Compute the marginal profit at a production level of x=150 units. Interpret this information. c. Compute the marginal cost at a production level of x = 100 units. Interpret this information

Q: C(x)=.03x^3-.2x^2+12x+250 where c is given in dollars . Determine r(x) if items are sold at $120…

A: Given that - C(x)=0.03x3 - 0.2x2 + 12x + 250 where c is given in dollars.

Q: Suppose that a price-demand function is given by P(x) = 500- 500 - 15x. Calculate the marginal…

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Q: Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily…

A: Cx=0.005x3-0.5x2+28x+300 a). The extra cost of increasing daily production from 50 to 51 items is,…

Q: If a manufacturer's average-cost function is 8000 e/800+450 find the marginal cost function. What is…

A: manufacturer’s average-cost function is given  We need to find the marginal cost function. To get…

Q: The profit P from selling x units of a product is given by P= 375x -1.5x. Find the marginal profit…

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Q: The marginal profit for a product is modeled by

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Q: Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x =…

A: Given P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4 - 5100 P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4

Q: 7) The profit (in dollars) derived from selling z units of an alarm clock is given by P= 0.0002z° +…

A: Marginal Profit is the derivative of profit function. Please see the explanation below

Q: If a manufacturer's average cost is given by AC = 0.002q2 - 0.24q + 776.  Find:      (a)  the…

A: Average cost=0.002 q2-0.24 q+776

Q: Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.

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