The Heat Corporation produces three types of rugs, which it sells to large carpe

Question

The Heat Corporation produces three types of rugs, which it sells to large carpet stores. The production of each rug requires two machine operations, weaving and binding, followed by assembly, which includes inspection and packaging. All three rug types require 0.4 hour of assembly time, but the machining operations have different processing times as shown here in the table below, in hours per unit:


Rectangle Runner Oval
Weaver: 0.2 0.4 0.6
Binder: 0.6 0.2 0.5

Each machine is available 150 hours per month, and the current size of the assembly department provides capacity of 600 hours. Each rug produced yields a unit of profit contribution as seen in the table below:


Rectangle Runner Oval
Profit: $80 $60 $100


What type/s of model/s would you choose to solve the problem?

Explanation / Answer

Let x, y, z be the production quantities of three types of rugs that are to be made, then LP Formulation of the above problem is Maximize p = 80x 60y 100z subject to 0.2x 0.4y 0.6z

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