Determine range of insignificance for decision variables

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Question - A company has three operational departments (weaving, processing and packing) with capacity to produce three different types of clothes namely suiting, shirting and woolens yielding a profit of Birr 2, 4 and 3 respectively. One meter of suiting requires 3 minutes in weaving, 2 minutes in processing and 1 minute in packing. Similarly, one meter of shirting requires 4 minutes in weaving, 1 minute in processing and 3 minutes in packing. One meter of woolen requires 3 minutes in each department. In a week, total run time of each department is 60, 40 and 80 hours for weaving, processing and packing respectively.

A. Formulate the linear programming problem (LPP).

B. Use simplex method to find the product mix to maximize the profit.

C. Determine the range of insignificance for basic decision variables.

Reference no: EM132811609

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