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4. CINAMON, a famous home dcor company, has a contract to deliver 300, 750, 570, 420, 660, and 330 chairs over the next 6

4. CINAMON, a famous home dcor company, has a contract to deliver 300, 750, 570, 420, 660, and 330 chairs

4. CINAMON, a famous home dcor company, has a contract to deliver 300, 750, 570, 420, 660, and 330 chairs over the next 6 months. Production cost (labor, material, and utilities) per window varies by period and is estimated to be $150, $135, $165, $144, $156, and $150 over the next 6 months. To take advantage of the fluctuations in manufacturing cost, CINAMON can produce more windows than needed in a given month and hold the extra units for delivery in later months. This will incur a storage cost at the rate of $24 per window per month, assessed on the end-of season inventory. Now CINAMON wants to minimize their respective cost. Based on this data answer the following questions a) Write down the objective function of the linear programming consistent with the objective of CINAMON [4] b) Write down the constraints of linear programming consistent with the objective of CINAMON [6]

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