Chapter 12.CR, Problem 16CR

The Stereo Guys store sells two lines of personal stereos: the Sunny and the Iwa. The Sunny comes in a 12-cubic-foot box and can be sold for a $\$220$ profit, while the Iwa comes in an 8-cubic-foot box and can be sold for a $\$200$ profit. The Stereo Guys marketing department estimates that at least $600$ personal stereos can be sold each month and that, because of Sunny’s quality reputation, the demand for the Sunny unit is at least twice that of the Iwa. If the Stereo Guys warehouse has $12,000$ cubic feet of space available for personal stereos, how many Sunnys and Iwas should they stock each month to maximize profit? What is the maximum profit?