IKEA has a contract to deliver 100, 250, 190, 140, 220, and 110 home windows over the next 6 months. Production cost (labor, material, and utilities) per window varies by period and is estimated to be $50, $45, $55, $48, $52, and $50 over the next 6 months. To take advantage of the fluctuations in manufacturing cost, IKEA 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 $8 per window per month, assessed on the end-of season inventory. Now IKEA wants to minimize their respective cost. Based on this data answer the following questions Qus.1)Write down the objective function of the linear programming consistent with the objective of IKEA.

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Author:James Stewart, Lothar Redlin, Saleem Watson
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IKEA has a contract to deliver 100, 250, 190, 140, 220, and 110 home windows over the next 6 months. Production cost (labor, material, and utilities) per window varies by period and is estimated to be $50, $45, $55, $48, $52, and $50 over the next 6 months. To take advantage of the fluctuations in manufacturing cost, IKEA 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 $8 per window per month, assessed on the end-of season inventory. Now IKEA wants to minimize their respective cost. Based on this data answer the following questions

Qus.1)Write down the objective function of the linear programming consistent with the objective of IKEA.

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