DH99 wrote:

A firm decides to inspect 48 of its distribution centers.They have a staff of 23 employees available for the inspection.If each person will inspect at least 1 center and at most 4 centers, what is the maximum and the minimum number of people who will inspect 4 centers, if all the 48 centers will be inspected?

A. (8,2)

B. (8,0)

C. (9,0)

D. (9,2)

E. (9,1)

Lets start with the easier calculation to find min employees.

-If each employees goes to one one center..we cover 23 center

- for each employee to 2 center ... we cover 46 center

- with employee to 3 shop...>48 center

so min is 0 employee can go to 4 center

This leaves with option B and C

- Lets pick 9,0. if we have 9 people going to 4 center we have covered 9*4=36 shops.

employee left are 23-9=14 and center left are 48-36=12.

Hence not a options as 14-12=2 will still be left to visit any center