You are given the following data for a linear programming problem where the objective is to minimize the cost of conducting two nonnegative activities so as to achieve three benefits that do not fall below their minimum levels.
minimum levels. (20 points)
Resource Resource Usage per Amount of Resource
Unit Produced Available
Product A Product B
x 3 1 40
y 2 5 30
z 10 7 75
Cost per unit $80 $120
(a) Formulate a linear programming model for this problem.
(b) Use the graphical method to solve this model.
(c) Use the spreadsheet to check the following solutions:
(x, y) = (10, 15), (5, 8), (11, 30), (14, 40), (8, 20).
Which of these solutions are feasible? Which of these feasible solutions has the best value of the objective function?
Answers: 1
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