A small candy shop is preparing for the holiday season. The owner must decide how many bags of deluxe mix and how many b

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A small candy shop is preparing for the holiday season. The
owner must decide how many bags of deluxe mix and how many bags of
standard mix of Peanut/Raisin Delite to put up. The deluxe mix has
2/3 pound raisins and 1/3 pound peanuts, and the standard mix has
1/2 pound raisins and 1/2 pound peanuts per bag. The shop has 90
pounds of raisins and 60 pounds of peanuts to work with. Peanuts
cost $.60 per pound and raisins cost $1.50 per pound. The deluxe
mix will sell for $3.10 for a one-pound bag, and the standard mix
will sell for $2.75 for a one-pound bag. The owner estimates that
no more than 130 bags of one type can be sold.
a. If the goal is to maximize profits, how many bags of each
type should be prepared?
b. What is the expected profit?