The Weinberger Electronics Corporation manufactures four highly technical products that it supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirement in hours for each unit produced and its corresponding profit value are summarized in the following table:

The production available in each department each month, and the minimum monthly production requirement to fulfill contracts, are as follows:

The production manager has the responsibility of specifying production levels for each product for the coming month. Help him by formulating (that is, setting up the constraints and objective function) Weinberger’s problem usingLP.

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DEPARTMENT UNIT PRODUCT WIRING DRILLING ASSEMBLY INSPECTION PROFIT ($) XJ201 XMS7 0.5 0.3 0.2 0.5 12 TR29 1.5 0.5 15 BR788 0.5 MINIMUM PRODUCTION LEVEL 150 CAPACITY PRODUCT DEPARTMENT (HOURS) P Wiring Drilling Assembly Inspection 15,000 17000 XM897 26,000 TR29 12,000 XJ201 100 300 BR788 400