Prof Mary Pliz Help

Question:

Sam Maron is a sales representative for the  Deplorable Insurance Company, and sells life insurance policies to individuals  in the Phoenix area.  Maron’s goal is to  maximize total monthly commission income, which is figured at 10% of gross  sales.  In reviewing monthly experience  over the past year, Maron found the following relations between days spent in  each city and monthly sales generated.

Days Phoenix Sales Scottsdale Sales Tempe Sales
0 $5,000 $7,500 $2,500
1 15,000 15,000 6,500
2 23,000 21,500 9,500
3 29,000 27,000 11,500
4 33,000 31,500 12,500
5 35,000 35,000 12,500
6 35,000 37,500 12,500
7 35,000 39,000 12,500

Construct a table showing Maron’s marginal  sales per day in each city.If administrative duties limit Maron to only  10 selling days per month, how should she spend them?Calculate Maron’s maximum monthly commission income.

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