Reference no: EM132463587

Crombie supermarket sells its private label brand of canned peas as well as other national brands. The store makes a profit of $0.28 per can for its private label peas and a profit of $0.19 for any of the other brands. The store has 6 square feet of shelf space available for canned peas, and each can of peas takes up 9 square inches of that space. Analytics show that each week the store sells less than half as many cans of its private label brand as it does the other national brands.

Question 1: The store wants to know how many cans of its own brand of peas and how many cans of the other brands to stock each week on the allocated shelf space in order to maximize profits.

Question 2: Formulate the problem algebraically a linear programming model for this problem.