MAT 540 Week 6 A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hrs of processing time
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MAT 540 Week 6A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hrs of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is 6 per unit, and the profit for product 2 is 4 per unit.
a) Formulate a linear programming model for this problem.
b) Solve this model using graphical analysis
Decision variables: Let x number of Product and y number of Product 2 be produced.
The objective function is: Maximize z 6x 4y
Subject to the constraints: 10x 10y ? 100 (Processing time on Line 1 constraint)
7x 3y ? 42 (Processing time on Line 2 constraint)
x ? 0 and y ? 0
We see that...
