Question: Question 1 - ( LO 1 -8 Marks) Case Study on Marginal Analysis: Mr. Mohammad is a regional sales representative for Dental Laboratories, Inc., a

Question 1 - (LO1-8 Marks)

Case Study on Marginal Analysis: Mr. Mohammad is a regional sales representative for Dental Laboratories, Inc., a company that sells alloys created from gold, silver, platinum, and other precious metals to several dental laboratories to Sharjah, Dubai, and Abu Dhabi. Mohammads goal is to maximize total monthly commission income, which is figured at 8 percent of gross sales. In reviewing monthly experience over the past year, Mr. Mohammad found the following relations between days spent in each city and monthly gross sales generated in following table 1.

Table 1

Days

Sharjah Gross Sales

Dubai

Gross Sales

Abu Dhabi

Gross Sales

0

10,000

0

6,250

1

25,000

8,750

12,500

2

37,500

16,250

17,500

3

47,500

22,500

21,250

4

55,000

26,250

23,750

5

60.000

28,750

25,000

5

62,500

30,000

25,000

7

62,500

31,250

25,000

  1. Construct a table (or spreadsheet) showing Mr. Mohammads marginal sales per day in each city.

  1. If administrative duties limit Mohammad to only 10 selling day per month, how should they be spent to maximize commission income?

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