Chapter 5.6, Problem 34PE

(a)

To determine

To calculate: The number of full time employee and the number of part time employees that should be used to minimize the weekly labor cost, if a large department store needs at least $3600$ labor hours covered per week and employs full time staff $40\text{hr/wk}$ and part time staff $25\text{hr/wk}$, the cost to employ a full time staff member is more because the company pays benefits such as health care and life insurance is shown below in the table.

	Hours per Week	Cost per Hour
Full time	$40\text{hr}$	$\$25$
Part time	$25\text{hr}$	$\$18$

The store manager also knows that to make the store run efficiently, the number of full-time employees must be at least $1.25$ times the number of part time employees.

(b)

To determine

To calculate: The minimum weekly cost to staff the store under these constraints if a large department store needs at least $3600$ labor hours covered per week and employs full time staff $40\text{hr/wk}$ and part time staff $25\text{hr/wk}$, the cost to employ a full time staff member is more because the company pays benefits such as health care and life insurance.

	Hours per Week	Cost per Hour
Full time	$40\text{hr}$	$\$25$
Part time	$25\text{hr}$	$\$18$

The store manager also knows that to make the store run efficiently, the number of fulltime employees must be at least $1.25$ times the number of part time employees.