Nickleson Machine shop wants to develop a math model to help decide which jobs s

Question

Nickleson Machine shop wants to develop a math model to help decide which jobs should be processed on which machines so as to minimize total cost. Initially, the manager wants to try LP on a small example to see if the results are satisfactory. The first consideration, then, is loading three jobs: two machines are available for processing. The jobs correspond to producing three, seven, and four units, respectively, for products 1, 2, and 3 Machine 1 has 8 hours available during each day, but machine 2 has only 6. The table below give relevant cost and production time data. Formulate this as an LP to minimize cost.

Explanation / Answer

we can formulate linear programming as

OBJECTIVE FUNCTION    min z= 3x+7y+4z

CONSTRAINTS                   .4x+1.1y+.9z<8

                                         .5x+1.2y+1.3z<6

now we can solve it using simplecx method

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