Setting up a linear programming problem Coburn Company manufactures three prod- ucts in four departments. The following production data are available on each product and department:

The contribution margins of products X, Y, and Z are $35, $22, and $30, respectively. No more than 300 units of X should be produced and at least 100 units of Z must be produced.

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Product X Processing Hours Y N Cutting 3 2 Forming 1 Assembly Finishing 7 5 2 2 4253 2352 4 Departmental Capacity in Hours 2,000 2,100 4,500 2,500