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Mathematics - Optimization - Inventory Control Model

The marginal loss on Washington Reds, a brand of apples from the state of Washington, is $35 per case. The marginal profit is $15 per case. During the past year, the mean sales of Wshington Reds in cases was 45,000 cases, and the standard deviaiton was 4,450. How many cases of Washington Reds should be brought to market? Assume the sales follow a normal distribution.

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