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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 for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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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?
Transcribed Image Text: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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