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Assignment 1
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Presentation Transcript
1. Assignment 1
2. Problem Formulation x1 = number of special risk insurances to be sold
x2 = number of mortgages to be sold
Obj: Max(5x1 + 2x2)
s.t.: 3x1 + 2x2 <= 2400 (Underwriting dept.)
x2 <= 800 (Admin)
2x1 <= 1200 (Claims)
x1, x2 >= 0 (Non-negativity)
3. Graph
4. Intersecting Line Method The two lines that meet at the optimal point are:
3x1 + 2x2 = 2400
2x1 = 1200
The equations are known as binding constraints.
Solving for x1 and x2 in the two equations:
x1 = 600; x2 = 300
Therefore, objective function value (z)
= 5x1 + 2x2 = 5(600) + 2(300) = $3600
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