Reference no: EM132387929

Norita is a sales representative for the BnG Insurance Company, and sells life insurance policies to individuals in the state of Kedah. Norita'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, Norita found the following relations between days spent in each city and the monthly sales generated.

Days JITRA sales (RM) ALOR STAR sales (RM) SUNGAI PETANI sales (RM)

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

(i) Construct a table showing Norita's marginal sales per day in each city.

(ii) If administrative duties limit Norita to only 10 selling days per month, how should she spend (allocate the days) them?

(iii) Calculate Norita's maximum monthly commission income.