2.11 The WorldLight Company produces two light fixtures (Product 1 and 2) that require both metal...

2.11 The WorldLight Company produces two light fixtures (Product 1 and 2) that require both metal frame parts and electrical components. Management wants to determine how many units of each products to produce per week so as to maximize profit. For each Unit of Product 1, one unit of frame parts and two units of electrical components are required. For each unit of Product 2, three units of frame parts and two units of electrical components are required. The company has a weekly supply of 3,000 units of frame parts and 4,500 of electrical components. Each Unit of Product 1 gives a profit of $13, and each unit of Product 2, up to 900 units, gives a profit of $26. Any excess over 900 units of Product 2 brings no profit, so such an excess has been ruled out.

Identify verbally the decisions to be made, the constraints on these decisions, and the overall measure of performance for the decisions.

Convert these verbal description of the constraints and the measure of performance into quantitative expressions in terms of the date an decision.

Formulate and solve a linear programming model for this problem on a spreadsheet.

Formulate this same model algebraically.

2.13 You are given the following linear programming model in algebraic form, with X1 and X2 as the decision variables and constraints on the usage of four resources:

Maximize Profit = 2X₁ + X₂

Subject to     X₂ ≤ 10 (Resource 1)

        2X₁ + 5X₂ ≤ 60 (Resource 2)

        X₁ + X₂ ≤ 18 (Resource 3)

        3X₁ + X₂ ≤ 44 (Resource 4)

And

        X₁ ≥ 0 X₂ ≥ 0

Use the graphical method to solve this model.

Incorporate this model into a spreadsheet and then use Solver to solve this model.