The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x= -9p+900. Answer parts (a) through (9). (a) Find a model that expresses the revenue R as a function of p. (Remember, R = xp.) R(P) = (Simplify your answer. Use integers or decimals for any numbers in the expression.) (b) What is the domain of R? Assume that R is nonnegative. OA. The domain is (p1 sps. (Simplify your answers. Type integers or decimals.) B. The domain is the set of all real numbers. (c) What price p maximizes revenue?
The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x= -9p+900. Answer parts (a) through (9). (a) Find a model that expresses the revenue R as a function of p. (Remember, R = xp.) R(P) = (Simplify your answer. Use integers or decimals for any numbers in the expression.) (b) What is the domain of R? Assume that R is nonnegative. OA. The domain is (p1 sps. (Simplify your answers. Type integers or decimals.) B. The domain is the set of all real numbers. (c) What price p maximizes revenue?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = -9p+900. Answer parts (a) through
(9).
(a) Find a model that expresses the revenue R as a function of p. (Remember, R = xp.)
R(p)=
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
(b) What is the domain of R? Assume that R is nonnegative.
OA. The domain is (p1 sps.
(Simplify your answers. Type integers or decimals.)
B. The domain is the set of all real numbers.
(c) What price p maximizes revenue?
(d) What is the maximum revenue?
R=$
(Simplify your answer. Type an integer or a decimal.)
(e) How many units are sold at this price?
X=
(Simplify your answer. Type an integer or a decimal.)
(f) Graph R. Choose the correct graph below.
О А.
23000
110
Q
B.
AR
23000
110
C.
AR
23000
(g) What price should the company charge to earn at least $18,144 in revenue?
110
Q
OD.
23000
RC
110
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