Question

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 .70 pound raisins and .30 pound peanuts, and the standard mix has .50 pound raisins and .50 pound peanuts per bag. The shop has 75 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 $2.55 per pound, and the standard mix will sell for $2.40 per pound. The owner estimates that no more than 120 bags of one type can be sold.

a. If the goal is to maximize profits, how many bags of each type should be prepared? Use Excel Solver. (Round intermediate cost calculations to 2 decimal places and round your answers to the nearest whole number.)

Deluxe		bags
Standard		bags

  
b. What is the expected profit? Use Excel Solver. (Enter your answer based on the unrounded (not rounded) decision variable values from Part a. Round your answer to the nearest whole number. Omit the "$" sign in your response.)

Profit           $

Answer 1

a)

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Standard Bags = 97

Deluxe Bag = 37

b)

To find the solution of partb, we will change the decision variable constraints to >=0 from integer.

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Expected Profit = 181