Chapter 12.CR, Problem 15CR

The Mowson Audio Co. makes stereo speaker assemblies. They purchase speakers from a speaker manufacturing firm and install them in their own cabinets. Mowson's model 110 speaker assembly, which sells for $\$200$, has a tweeter and a mid-range speaker. Their model 330 assembly, which sells for $\$350$, has two tweeters, a mid-range speaker, and a woofer. Mowson currently has in stock $90$ tweeters, $60$ mid-range speakers, and $44$ woofers. How many speaker assemblies should Mowson make to maximize their income? What is that maximum income?