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 $4.00 for a one-pound bag, and the standard mix will sell for $3.55 for a one-pound bag. The owner estimates that no more than 210 bags of one type can be sold.

Practical Management Science
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Author:WINSTON, Wayne L.
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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 $4.00 for a one-pound bag, and the standard mix will|
sell for $3.55 for a one-pound bag. The owner estimates that no more than 210 bags of one type can be sold.
a. If the goal is to maximize profits, how many bags of each type should be prepared?
Deluxe
bags
Standard
bags
b. What is the expected profit?
Profit
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Transcribed Image Text: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 $4.00 for a one-pound bag, and the standard mix will| sell for $3.55 for a one-pound bag. The owner estimates that no more than 210 bags of one type can be sold. a. If the goal is to maximize profits, how many bags of each type should be prepared? Deluxe bags Standard bags b. What is the expected profit? Profit < Prev 9 of 10 Next >
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