Question: John Smith is a regional sales representative for Snappy Tools, Inc., and sells hand tools to auto mechanics in New England states. Smiths goal is

John Smith is a regional sales representative for Snappy Tools, Inc., and sells hand tools to auto mechanics in New England states. Smith’s goal is to maximize total monthly commission income, which is figured at 10% of gross sales. In reviewing experience over the past year, Smith found the following relations between days spent in each state and weekly sales generated.

1. Construct a table showing Smith’s marginal sales per day in each state.

2. If Smith is limited to 7 selling days per week, how should they be spent?

3. Calculate Smith’s maximum weekly commission income.

Days

Vermont

Sales

New

Hampshire

Sales

Maine

Sales

0

$ 3,000

$ 3,000

$1,900

1

10,000

7,000

5,200

2

15,000

10,600

7,400

3

19,000

13,800

8,600

4

22,000

16,600

9,200

5

24,000

19,000

9,600

6

25,000

21,000

9,800

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