Suppose the demand for Colin's kidney pies is linear in the price P. Further, assume that he can sell 100 pies when the price is $5.00 and 65 pies when the price is $10.00. (a) Determine the demand N (number of pies sold) as a function of the price P (in dollars). (Express numbers in exact form. Use symbolic notation and fractions where needed.) N(P) = (b) What is the slope of the graph of N(P)? (Give an exact answer. Use symbolic notation and fractions where needed.) slope: pies/dollar

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(c) Find the revenue function, R = N X P.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
R(P) =
Find the price that maximizes revenue.
(Use decimal notation. Give your answer to two decimal places.)
The price that maximizes revenue is $
Transcribed Image Text:(c) Find the revenue function, R = N X P. (Express numbers in exact form. Use symbolic notation and fractions where needed.) R(P) = Find the price that maximizes revenue. (Use decimal notation. Give your answer to two decimal places.) The price that maximizes revenue is $
Suppose the demand for Colin's kidney pies is linear in the price P. Further, assume that he can sell 100 pies when the price is
$5.00 and 65 pies when the price is $10.00.
(a) Determine the demand N (number of pies sold) as a function of the price P (in dollars).
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
N(P) =
(b) What is the slope of the graph of N(P)?
(Give an exact answer. Use symbolic notation and fractions where needed.)
slope:
pies/dollar
Transcribed Image Text:Suppose the demand for Colin's kidney pies is linear in the price P. Further, assume that he can sell 100 pies when the price is $5.00 and 65 pies when the price is $10.00. (a) Determine the demand N (number of pies sold) as a function of the price P (in dollars). (Express numbers in exact form. Use symbolic notation and fractions where needed.) N(P) = (b) What is the slope of the graph of N(P)? (Give an exact answer. Use symbolic notation and fractions where needed.) slope: pies/dollar
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