The Primo Insurance Company is introducing two new product 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 requirements are shown below:

Work$-$Hours per Unit

Department Special Risk Mortgage Work$-$Hours Available

Underwriting $322,350$

Administration $01750$

Claims $201,150$

Special Risk Mortgage

Unit Profit $$5$ $$2$

Work$-$Hours per Unit Hours

Available

Underwriting $322,350$

Administration $01750$

Claims $201,150$

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

Determine the sales quota for special risk and mortgage.

Note: Round your answers to $2$ decimal places.

Determine the total profit.