Question: Solve the Formulation Problems contained here. Please note that all you have to do is indicate the right coefficients and signs ( ) in the

Solve the Formulation Problems contained here. Please note that all you have to do is indicate the right coefficients and signs (<=, =, or =>) in the blanks. Do not use commas.

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A plant produces 4 types of chemicals for industrial use. Each of these products undergoes three processes. The daily capacities for each of the processes together with the usage rates of each product are presented below. Also presented are the daily demands/committed volume for each product as well as their unit contribution margins. As Chemical A and Chemical B are considered restricted products by the government, the plant is only allowed to produce a total volume of 120 units per day for the two products. Formulate an LP model (objective function & constraints) than can be employed to solve for the optimal ingredient mix.

Product A B C D Capacity

Contribution per unit 37 42 36 48 n/a

Process 1 3 6 5 7 2,000

Process 2 8 9 7 10 3,000

Process 3 17 19 18 22 5,000

Demand <=80 <=90 =>90 <=60 n/a

Max

A

B

C

D

=, <= or =>

RHS

Objective Function

Process 1

Process 2

Process 3

Demand A

Demand B

Committed C

Demand D

A & B Regulation

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