A small business assumes that the demand function for one of its new products can be modeled by  p = Cekx. When p = $50, x = 800 units, and when p = $45, x = 1300 units.   Solve for C and k. (Round C to four decimal places and k to seven decimal places.)   Find the values of x and p that will maximize the revenue for this product. (Round x to the nearest integer and p to two decimal places.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A small business assumes that the demand function for one of its new products can be modeled by 
p = Cekx.
When p = $50, x = 800 units, and when p = $45, x = 1300 units.
 
Solve for C and k. (Round C to four decimal places and k to seven decimal places.)
 
Find the values of x and p that will maximize the revenue for this product. (Round x to the nearest integer and p to two decimal places.)
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