John M. answered • 11/19/17

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Since the number of sales people in any office must be an integer, this problem boils down to determining to finding integer which guarantees each office has an integer number of people, and that the integer is the smallest.

Let A, B, C, D, & E represent the number of people in each office:

Let A = number of people in office #1.

B = (1/4)* B

C = (1/4)* B

D = A

E = A

Total = A+B+C+D+E

Substitute

Total = A+[(1/4)*A] +[(1/4)*A] +A + A

Total = 3.5A

The minimum # of people in office B is 1. Since A = 4*B, A = 4. (Note, the same applies for office C).

Since A = 4, Total = 3.5(4) = 14.

Larry W.

11/27/17