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 ment wishes to establish sales quotas for the new product lines to maximize total expected profit. The work requirements are as follows: \begin{tabular}{|l|cc|c} & \multicolumn{2}{|c|}{ Work-Hours per Unit } & Work-Hours \\ Department & Special Risk & Mortgage & Available \\ \hline Underwriting & 3 & 2 & 2400 \\ Administration & 0 & 1 & 800 \\ Claims & 2 & 0 & 1200 \end{tabular} (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 (Use Excel-Solver). Part a - Formulation of the LP model Part b - Solution from the Graphical Method Decision Variables X= number of units of special risk Y= number of units of mortages Objective Maximize total expected profit Objective funtion Maximize Z=100x+40y Subject to constraints Underwriting 3x+2y=0 Part c - Solution using Excel-Solver Part c - Solution using Excel-Solver hical Method