Kroeger supermarket sells its own brand of canned peas as well as several national brands. The store makes a profit of $0.28 per can for its own peas and a profit of $0.19 for any of the national 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. Point-of-sale records show that each week the store never sells more than one-half as many cans of its own brand as it does of the national brands. The store wants to know how many cans of its own brand of peas and how many cans of the national brands to stock each week on the allocated shelf space in order to maximize profit if Kroeger discounts the price of its own brand of peas, the store will sell at least 1.5 times as much of the national brands as its own brand, but its profit margin on its own brand will be reduced to $0.23 per can. What effect would the discount have on the optimal solution?
Kroeger supermarket sells its own brand of canned peas as well as several national brands. The store makes a profit of $0.28 per can for its own
peas and a profit of $0.19 for any of the national 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. Point-of-sale records show that each week the store never sells more than one-half as many cans of
its own brand as it does of the national brands. The store wants to know how many cans of its own brand of peas and how many cans of the
national brands to stock each week on the allocated shelf space in order to maximize profit if Kroeger discounts the price of its own brand of peas, the store will sell at least 1.5 times as much of the national brands as its
own brand, but its profit margin on its own brand will be reduced to $0.23 per can. What effect would the discount have on the optimal solution?
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