You are the manager of a clothing store. You must decide how many of your employees to put on the sales floor, and how many to put on the register. Because employees on the sales floor cause customers to buy more products, if you do not have at least 2 employees on the register for every 5 employees working on the sales floor, your registers will get very clogged and you will lose business. You have a total of 84 employees, and you wish to have as many on the sales floor as possible. How should you divide your employees?
Answer
A
44 on the sales floor, 40 on the register
B
55 on the sales floor, 29 on the register
C
60 on the sales floor, 24 on the register
D
75 on the sales floor, 9 on the register
Explanation
Let F be the number of employees on the sales floor and R the number at the register. The requirement is R ≥ (2/5)F, and F + R = 84, so 84 − F ≥ (2/5)F. This gives F ≤ 60; assigning 60 to the sales floor leaves 24 at the registers, exactly the required 2-to-5 ratio. The correct choice is 60 on the sales floor and 24 on the register.
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