you are the manager of a clothing store. you must decide how many of your employees to put on the sales…

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? 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 please select the best answer from the choices provided

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? 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 please select the best answer from the choices provided

Answer

Explanation:

Step1: Check the ratio condition

For every 5 employees on the sales floor, there should be at least 2 on the register.

Step2: Check option A

(44\div5 = 8.8), (40\div2=20). The ratios (44:40 = 11:10) does not match (5:2) proportion.

Step3: Check option B

(55\div5 = 11), (29\div2=14.5). The number of register - employees is not in the right proportion (not a multiple of 2 when sales - floor employees is a multiple of 5).

Step4: Check option C

(60\div5 = 12), (24\div2=12). The ratio (60:24=\frac{60}{12}:\frac{24}{12}=5:2) and (60 + 24=84).

Step5: Check option D

(75\div5 = 15), (9\div2 = 4.5). The number of register - employees is not in the right proportion (not a multiple of 2 when sales - floor employees is a multiple of 5).

Answer:

C. 60 on the sales floor, 24 on the register