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Formulate the problem as a linear program

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The Incredible Burger Co is exploring new sources of meatless meat for the upcoming production cycle. To attract Millennial consumers, the management is betting on "local" and only considers processed soy suppliers in the immediate vicinity of their DC plants. The available suppliers are willing to supply soy in the following amounts and at the following price:

Friendly Farms (FF): 200 lbs at $4/lbs

Misty Fields (MF): 310 lbs at $3/lbs

Spice Tree (ST): 420 lbs at $2/lbs

Shipping costs in $ per lbs are:

To: Plant DC-A Plant DC-B

From: FF 3 3.5

MF. 2 2.5

ST. 6 4

Fridge capacity for meat storage and labor costs at the production plants are as follows:

Plant DC-A Plant DC-B

Capacity 460 lbs 560 lbs

Labor cost $26/lb. $21/lb

Each patty is sold at $5, and requires 20 grams of processed soy. The company can sell at this price all they can produce.

The objective is to find the best mixture of the quantities supplied by the three suppliers to the two plants so that the company maximizes its profits.

(a) Formulate the problem as a linear program and explain it. (b) Solve the problem using Solver

Reference no: EM132400746

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