A large department store needs at least 3600 labor hours covered per week. It employs full-time staff 40 hr/wk and part- time staff 25 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 hr $25 Part time 25 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. a. Determine the number of full-time employees and the number of part-time employees that should be used to minimize the weekly labor cost. b. What is the minimum weekly cost to staff the store under these constraints?

A large department store needs at least 3600 labor hours covered per week. It employs full-time staff 40 hr/wk and part- time staff 25 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 hr $25 Part time 25 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. a. Determine the number of full-time employees and the number of part-time employees that should be used to minimize the weekly labor cost. b. What is the minimum weekly cost to staff the store under these constraints?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A large department store needs at least 3600 labor hours covered per week. It employs full-time staff 40 hr/wk and part-
time staff 25 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 hr
$25
Part time
25 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.
a. Determine the number of full-time employees and the number of part-time employees that should be used to minimize
the weekly labor cost.
b. What is the minimum weekly cost to staff the store under these constraints?

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