18 practice final spring 2018-Elhoussine Ghardi The price p (in dollars) and the

Question

18 practice final spring 2018-Elhoussine Ghardi The price p (in dollars) and the demand x for a particular clock radio are related by the equa (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 1600 clock radios. (D) Interpret R'(1900) 45.00. (A) p px) What is the domain of p/x)? O A. x20 B. 0SX$2000 ??. xs 3000 O D. All real numbens (B) R(x)= A What is the domain of R(x)? O A. xs3000 B. 0sxs 2000 O D. 0sxs 40 (C) The marginal revenue at a production level of 1600 clock radios is$ 3Qo (Round to the nearest cent as needed.) (D) Which of the following statements is NOT a correct interpretation of R' (1900)-45.00 O A. At a production level of 1900 clock radios, the change in revenue per unit change in O B. The total revenue for producing 1901 clock radios is approximately $45.00 less than the O c. If 1900 clock radios are produced, there will be no revenue, since R (1900) is negative. production is approximately -45.00 dollars. revenue for producing 1900 clock radios. ntly, a certain bank offered a 10-year CD that earns 12.55% compounded continuously.

Explanation / Answer

P(x) = (2000-x)/40

Domain of P

x should not be less then 0

So domain is x>=0

Revenue,R(x) = x P x = (2000x - x2)/40

x should not be less then 0

Domain x >=0

C. R(x) = 50x -(x2)/40

R '(x) = 50 -(x/20)

At x=1600

R '(x) = 50-(1600/20) = -30

D. Correct option is A

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