A company produces and sells a consumer product and is able to control the demand for the

Question:

A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is

2,700 5,000 for D > 1, D2 p = $38 + D

where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $1,000 per month and the variable cost (cv) is $40 per unit.
a. What is the number of units that should be produced and sold each month to maximize profit?
b. Show that your answer to Part (a) maximizes profit.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Engineering Economy

ISBN: 978-0133439274

16th edition

Authors: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Question Posted: