   Chapter 11.2, Problem 30E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Marginal Revenue The estimated marginal revenue for sales of ESU soccer team T-shirts is given by R ′ ( p ) = ( 8 − 2 p ) e − p 2 + 8 p 10 , 000 , 000 . Where p is the price (in dollars) that the soccer players charge for each shirt. Estimate R ' ( 3 ) , R ' ( 4 ) ,  and R ' ( 5 ) . What do the answers tell you?

To determine

To calculate: The value of R(3),R(4) and R(5) such that marginal revenue for sales of ESU soccer team T-shirts is given by the function R(p)=(82p)ep2+8p10,000,000 where p is the price of one T-shirt in dollars. Interpret the answers.

Explanation

Given Information:

Marginal revenue for sales of ESU soccer team T-shirts is given by the function R(p)=(82p)ep2+8p10,000,000 where p is the price of one T-shirt in dollars.

Calculation:

Consider the derivative, R(p)=(82p)ep2+8p10,000,000

Calculate the value of derivative at p=3,

R(3)=(82(3))e(3)2+8(3)10,000,000=(86)e9+2410,000,000=2e1510,000,0000

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