Question
A small shop located in Utica sells a variety of dried fruits and nuts. The shop caters to travelers of all types; it sells one-pound
A small shop located in Utica sells a variety of dried fruits and nuts. The shop caters to travelers of all types; it sells one-pound boxes of individual items, such as dried bananas, as well as one-pound box of mixed fruits and nuts, called "Trail Mix" and "Subway Mix".
Because of the health inspection issues, individual items and mixed items can only be sold as packaged one-pound boxes. Here are the amounts of current supplies:
Item
Dried Bananas800 pounds
Dried Apricots600 pounds
Coconut Pieces500 pounds
Raisins700 pounds
Walnuts1200 pounds
The selling prices of the various types of boxes offered are:
Trail Mix$9 per box
Subway Mix$12 per box
Dried Bananas$5 per box
Dried Apricots$8 per box
Coconut Pieces$10 per box
Raisins$6 per box
Walnuts$15 per box
The manager would like to obtain as much revenue as possible from selling these boxed products. The management also decided that no more than 70% but at least 35% of these boxed products should be allocated to the mixes (Trail Mix and Subway Mix). The Trail Mix consists of equal parts of all five individual items, whereas the Subway Mix consist of 2 parts of walnuts and one part each of dried bananas, raisins, and coconut pieces.There is no driedapricots in the Subway Mix.
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