3.1-9. The Primo Insurance Company is introducing two new prod- uct lines: special risk insurance and mortgages. The expected profit is $5 per unit on special risk insurance and $2 per unit on mortgages. Management wishes to establish sales quotas for the new product lines to maximize total expected profit. The work require- ments are as follows: Work-Hours per Unit Work-Hours Department Special Risk Mortgage Available Underwriting 3 2 2400 Administration 1 800 Claims 2 1200 (a) Formulate a linear programming model for this problem. D,I (b) Use the graphical method to solve this model. (c) Verify the exact value of your optimal solution from part (b) by solving algebraically for the simultaneous solution of the relevant two equations.

Practical Management Science
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Author:WINSTON, Wayne L.
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3.1-9. The Primo Insurance Company is introducing two new prod-
uct lines: special risk insurance and mortgages. The expected profit
is $5 per unit on special risk insurance and $2 per unit on mortgages.
Management wishes to establish sales quotas for the new
product lines to maximize total expected profit. The work require-
ments are as follows:
Work-Hours per Unit
Work-Hours
Department
Special Risk
Mortgage
Available
Underwriting
Administration
3
2
2400
1
800
Claims
2
1200
(a) Formulate a linear programming model for this problem.
D,I (b) Use the graphical method to solve this model.
(c) Verify the exact value of your optimal solution from part (b)
by solving algebraically for the simultaneous solution of the
relevant two equations.
Transcribed Image Text:3.1-9. The Primo Insurance Company is introducing two new prod- uct lines: special risk insurance and mortgages. The expected profit is $5 per unit on special risk insurance and $2 per unit on mortgages. Management wishes to establish sales quotas for the new product lines to maximize total expected profit. The work require- ments are as follows: Work-Hours per Unit Work-Hours Department Special Risk Mortgage Available Underwriting Administration 3 2 2400 1 800 Claims 2 1200 (a) Formulate a linear programming model for this problem. D,I (b) Use the graphical method to solve this model. (c) Verify the exact value of your optimal solution from part (b) by solving algebraically for the simultaneous solution of the relevant two equations.
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