Exercises 36 through 39 require the extreme value property.

McKinley Martin is the business manager of an electronics store. He determines that when he charges x dollars per unit for the standard Kindle eBook reader and y dollars per unit for the enhanced model, he will sell 400 − x − y standard units and 600 − 2x − y enhanced units. He further determines that the total cost of marketing and maintaining inventory for the Kindle readers will be C dollars, where

a. Note that x and y must be nonnegative and must also satisfy 400 − x − y ≥ 0 and 600 − 2x − y ≥ 0. Describe the closed, bounded region R in the xy plane that meets these requirements.

b. What prices x and y should McKinley charge to minimize cost?

Transcribed Image Text:

C(x, y) = x² − 280x + y² - 380y + 60,000 -