The marginal average cost of producing x digital sports watches is given by the function C'(x), where C(x) is the average cost in dollars. 1,700 C'(x)= - x2 C(100) = 25 Find the average cost function and the cost function. What are the fixed costs? The average cost function is C(x) = | |.

The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 5000 – 50p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 2800 clock radios. (D) Interpret R'(3900) = – 56.00.

The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 3000 - 10p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 1800 clock radios. (D) Interpret R'(2500)= 200.00. (A) p = p(x) =

Explain in words what it means about the profit for this company if f'(2015) - 0.3. Include units.

Find expressions for marginal revenue in the case when the demand equation is given by 1000 (a) P= \(100 – 2Q) (b) P = (2 + Q)

Find the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c. f'(x)=-13,718 d. f'(x)=110 e. f'(x)=190

differentiate y = (x - 1)/(x + 1)

Find the slope of f (x) = ln⁡(3x^2+8)/(-2)  at (2,−1.50).

If t(x)=5(9^x), find t′(x).

A company estimates that it will sell N(x) units of a product after spending Sx thousand on advertising, as given by N(x) = - 0.25x + 22x³ - 472.5x2 + 83,000, where 21 sxs45. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate o change of sales? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on (Type your answer in interval notation.) The rate of change of sales is decreasing on (Type your answer in interval notation.) The point of diminishing returns is thousand dollars. The maximum rate of change of sales is sales per thousand dollars. (Round to the nearest whole number as needed.) Graph N and N' on the same coordinate system. Choose the correct answer below. O A. В. с. D. 110000- 110000- 110000- 110000- N N' N' N' N' 0+ 16 0- 16 0+ 16 0+ 16 50 50 50 50