Question: A company produces 2 ingredients through 2 processes. Process 1 requires 2 pounds of type 1 raw material and 4 pounds of type 2 raw

A company produces 2 ingredients through 2 processes. Process 1 requires 2 pounds of type 1 raw material and 4 pounds of type 2 raw material, the result of running this process for one hour is 20 ounces of ingredient 1, which can either be sold to the market at $24 per ounce or, can be used as raw material for process 2. This process 2 requires 8 oz of ingredient 1 and 2 pounds of raw material type 2. The result of running this process for one hour is 14 oz of ingredient 2, which can be sold for $35 an ounce. Up to 1,500 pounds of Type 1 raw material can be purchased at $15 a pound and up to 3,000 pounds of Type 2 raw material at $10 a pound. In addition, there is a requirement that the quantity of ingredient 1 sold in the market must fluctuate between 10% and 35% of the total produced. Using the following variables, write a linear formulation that will help the company maximize its profit. MP1 = pounds of type 1 raw material MP2 = pounds of type 2 raw material P1 = no. of hours that the process runs 1 P2 = no. of hours that the process runs 2 I1T = ounces of ingredient 1 produced I1V = ounces of ingredient 1 sold I1P2 = ounces of ingredient 1 sent to process 2 I2 = ounces of ingredient 2 sold NOTE: If you require additional variables, define them clearly. You can use up to 3 additional variables maximum.

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