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,...

See similar textbooks

Related questions

Q: The area of a parking lot is 600 square meters. A car requires 6 square meters. A bus requires 30…

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will…

Q: B. A firm manufactures 2 product, A and B. Each product is processed by machines, M₁ and M₂. Each…

Q: Bill is trying to determine how many units of two types of telephones to produce each day. One of…

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will…

Q: Rough Stuff makes 2 products: khaki shorts and khaki pants for men. Each product passes through the…

A: Contribution margin per hour = Contribution margin per unit / Hour per unit

Q: suppose it costs $52,000 per year to live in city A. It costs $90,000 to live in city B. In which…

A: We have to find correct answer.

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will…

A: Given that:A company wishes to produce two types of souvenirs Type-A and Type-B. Type-A…

Q: Suppose that a company needs 1,800,000 items during a year and that preparation for each production…

Q: Student tuition at Boehring University is $150 per semester credit hour. The state supplements…

A: Productivity ratio is given by : Productivity ratio=outputinput

Q: A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4…

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: First we will construct a linear programming problem using the given informations and then we will…

Q: steel company produced two types of machine dies, part A and part B. The company makes a $2.00…

A: Given, The number of part A produced in a week = x The number of part B produced in a…

Q: sporting goods store sells 64 tennis rackets per month at $90$ each. The owners estimate that for…

A: Given the query is to find the price to maximize the revenue.

Q: maximize The Saddle Mine costs $14,000/day to operate, and it vields 50 oz of gold and 3000 oz of…

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: Let the number of trick skis produced be x and the number of slalom skis produced be y. It is given…

Q: After helping his neighbor mow lawns, Joe decides to start his own lawn service business. He decides…

A: Solution: a) Since $ 70 is charged to each customer if x lawns are mowed Total Revenue R(x) =70x

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will…

A: (a) To find the time available on Machine II for a meaningful solution, we need to set up the…

Q: This part is similar to part 1, but instead of being given the number of repipes and tankless…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: It takes 12 units of carbohydrates and 6 units of protein to satisfy Jacob's minimum weekly…

A: It takes 12 units of carbohydrates and 6 units of protein to satisfy Jacob's minimum weekly…

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?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

erth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $15,000/day to operate, and it yields 65 oz of gold and 2900 oz of silver each day. The Horseshoe Mine costs $15,500/day to operate, and it yields 70 oz of gold and 1300 oz of silver each day. Company management has set a target of at least 540 oz of gold and 16,800 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost? Saddle- Days Horseshoe- Days Minimum Cost-
need comprehensive and correct answers.This question is about optimization.
Explain Scheduling Daily Work Times?
Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.
Nannette Specialties is a family-style restaurant providing food trays and packed meals. Nannette, being the owner of the food business feels worried about the significant cost incurred every time customer waits. She estimated that the cost incurred for every minute a customer spends in the restaurant is $0.50. The average capacity that the restaurant can accommodate is 12 customers per minute only, considering both the waiting and service time. Nannette now considering employing additional servers for her restaurant. Provided with the cost of service if hiring 7 servers incurs cost $18 to $126, and the average customer waits served by a server alone starts from 7 minutes, 6, 5, 4 and so on. Given this cost, how much is the total expected cost? how many servers should Nannette employ?
A retailer anticipates selling 1,300 units of its product at a uniform rate over the next year. Each time the retailer places an order for a units, it is charged a flat fee of $25. Carrying costs are $26 per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost? They should order units The minimum inventory cost is $ times a year.