Problem 1 The Primo Insurance Company is introducing two new product lines: special risk insurance and mortgages. The expected profit is $100 per unit on special risk insurance and $40 per unit on mortgages. The management wishes to establish sales quotas for the new product lines to maximize total expected profit. The work requirements are as follows: Department Work-Hours per Unit Special Risk Work-Hours Available Mortgages Underwriting 3 2 2400 Administration 1 800 Claims 2 0 1200 (a) Formulate a linear programming model for this problem. (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.