Concept explainers
a)
To determine: The location that will yield the greatest profit if monthly demand is 200 and 300 cars respectively.
Introduction: Location is where a firm chooses to site its operations. Location decisions can large effects on expenses and incomes. Location choices are normally quite imperative to both substantial and private companies. The area choice directly affects an operation's expenses and also its capacity to serve clients.
a)
Answer to Problem 7P
Explanation of Solution
Given Information:
It is given that the fixed monthly costs of location inside the city are $7,000 and location outside the city is $4,700. The variable costs for location inside the city are $30 per car and for location outside is $40. The dealer price per car is $90. The monthly demands are 200 and 300 cars.
Calculate the total profit of location that will yield the greatest profit if the monthly demand is 200.
It is calculated by subtracting dealer price with variable cost and the result is multiplied with monthly demand and the whole result is subtracted with fixed costs.
From the results obtained Location Out yield the greatest profit if the monthly demand is 200 with $5,300 compared to Location Cit which is $5,000.
Hence location that will yield the greatest profit if the monthly demand is 200 is Location Out.
Calculate the total profit of location that will yield the greatest profit if the monthly demand is 300.
Given Information:
It is given that the fixed monthly costs of Location Cit are $7,000 and Location Out is $4,700. The variable costs for Location Cit are $30 per car and Location Out is $40. The dealer price per car is $90. The monthly demands are 200 and 300 cars.
It is calculated by subtracting dealer price with variable cost and the result is multiplied with monthly demand and the whole result is subtracted with fixed costs.
From the results obtained location city yield the greatest profit if the monthly demand is 300 with $10,300 compared to location city which is $11,000.
Hence, location that will yield the greatest profit if the monthly demand is 300 is location city.
b)
To determine: The volume of output with the two locations yield the same monthly profit.
Introduction: Location is where a firm chooses to site its operations. Location decisions can large effects on expenses and incomes. Location choices are normally quite imperative to both substantial and private companies. The area choice directly affects an operation's expenses and also its capacity to serve clients.
b)
Answer to Problem 7P
Explanation of Solution
Given Information:
It is given that the fixed monthly costs of Location City are $7,000 and Location Out is $4,700. The variable costs for Location Cit are $30 per car and Location Out is $40. The dealer price per car is $90. The monthly demands are 200 and 300 cars.
Calculate the volume of output with the two locations yield the same monthly profit.
The total units are denoted as Q. Solving for Q,
Hence, the volume of output with the two locations yield the same monthly profit is 230 cars.
Want to see more full solutions like this?
Chapter 8 Solutions
Operations Management
- A company that produces pleasure boats has decided to expand one of its lines. Current facilities are insufficient to handle the increased workload, so the company is considering two alternatives, A (new location), B (expand existing facilities). Alternative A would involve fixed costs of $250,000 per year, and variable costs would be $500 per boat. Alternative B would require an annual fixed cost of $50,000 and a variable cost of $1,000 per boat. a. At what volume of output would the two locations have the same total cost? b. Which alternative would yield the lowest total cost for an expected annual volume of 150 boats? Formulas: Total Cost= FC + VQ Total Profit= Q (R-V) - FCarrow_forwardA manager must decide between two location alternatives, Boston and Chicago. Boston would have annual fixed costs of $70000, transportation costs of $60 per unit, and labor and material costs of $200 per unit. Chicago would have annual fixed costs of $90000, transportation costs of $40 per unit, and labor and material costs of $170 per unit. Revenue will be $300 per unit. 1. Which alternative would yeild the higher profit for an annual demand of 3000 units? 2. Would the two locations yeild the same profit at a certain volume? If so, at what volume would that be?arrow_forwardA retired auto mechanic hopes to open a rustproofing shop. Customers would be local new-cardealers. Two locations are being considered, one in the center of the city and one on the outskirts The central city location would involve fixed monthly costs of $7,000 and labor, materials, andtransportation costs of $30 per car. The outside location would have fixed monthly costs of $4,700and labor, materials, and transportation costs of $40 per car. Dealer price at either location will be$90 per car.a. Which location will yield the greatest profit if monthly demand is 200 cars? 300 cars?b. At what volume of output will the two sites yield the same monthly profit?arrow_forward
- The piece of land available is situated on the main road through the area and has great views of MountKinabalu on one side and the valley below on the other side. As the strategic advisor you have been asked to come up with a recommendation whether to develop a 4-star or 5-star property. Due to the fact that the area is near a World Heritage site and due to building height restrictions the total number of rooms for a 4-star hotel would be 300 rooms, whilst for a 5-star property the number of rooms would be 190. Identify at least THREE (3) strengths and weaknesses each and at least TWO (2) opportunities and threats each for the proposed hotel/resort at that area. (Not for Mount Kinabalu as a tourist attraction!)arrow_forwardCost analysis. A farm implements dealer is seeking a fourth warehouse location to complement three existing warehouses. There are three potential locations: Charlotte, NC; Atlanta, GA; and Columbia, SC. Charlotte would involve a fixed cost of $4,000 per month and a variable cost of $4 per unit; Atlanta would involve a fixed cost of $3,500 per month and a variable cost of $5 per unit; and Columbia would involve a fixed cost of $5,000 per month and a variable cost of $6 per unit. Use of the Charlotte location would increase system transportation costs by $19,000 per month, Atlanta by $22,000 per month, and Columbia by $18,000 per month. Which location would result in the lowest total cost to handle 800 units per month?arrow_forwardA small firm produces and sells novelty items in a five-barangay area. The firm expects to consolidate assembly of its greeting cards line at a single location. Currently, operations are in three widely scattered locations. The leading candidate for location will have a monthly fixed cost of Php42, 000 and variable costs of Php3 per card. Cards sell for Php7 each. Prepare a table that shows total profits, fixed costs, variable costs, and revenues for monthly volumes of 10,000, 12,000, and 15,000 units. What is the break-even point?arrow_forward
- A company that produces pleasure boats has decided to expand one of its lines. Current facilities are insufficient to handle the increased workload, so the company is considering three alternatives, A (new location), B (subcontract), and C (expand existing facilities). Alternative A would involve substantial fixed costs but relatively low variable costs: fixed costs would be $250,000 per year, and variable costs would be $500 per boat. Subcontracting would involve a cost per boat of $2,500, and expansion would require an annual fixed cost of $50,000 and a variable cost of $1,000 per boat. a. Find the range of output for each alternative that would yield the lowest total cost. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to the nearest whole number. Do not include the indifference point in your answer.) A B C → OA OB OC or to to more b. Which alternative would yield the lowest total cost for an expected annual volume of 150 boats? C. What other…arrow_forwardA company that produces pleasure boats has decided to expand one of its lines. Current facilities are insufficient to handle the increased workload, so the company is considering three alternatives, A (new location), B (subcontract), and C (expand existing facilities).Alternative A would involve substantial fixed costs but relatively low variable costs: fixed costs would be $260,000 per year, and variable costs would be $610 per boat. Subcontracting would involve a cost per boat of $2,570, and expansion would require an annual fixed cost of $61,000 and a variable cost of $1,090 per boat.arrow_forwardA company that produces pleasure boats has decided to expand one of its lines. Current facilities are insufficient to handle the increased workload, so the company is considering three alternatives. A (new location), B (subcontract), and C (expand existing facilities). Alternative A would involve substantial fixed costs but relatively low variable costs: fixed costs would be $315,000 per year, and variable costs would be $600 per boat. Subcontracting would involve a cost per boat of $2,580, and expansion would require an annual fixed cost of $58,000 and a variable cost of $1,040 per boat. a. Find the range of output for each alternative that would yield the lowest total cost. (Leave no cells blank be certain to enter "0" wherever required. Round your answers to the nearest whole number.) A B C or to OA OB OC to more b. Which alternative would yield the lowest total cost for an expected annual volume of 90 boats? c. What other factors might be considered in choosing between expansion…arrow_forward
- An operations manager wants to use factor rating method to decide the location of a new restaurant. Weights of the three factors specified, and the scores of two options are shown in the table below. Which option should the operations manager choose and what is the weighted score of this option? Factor Weight Option 1 Score Option 2 Score Proximity to the University 0.5 90 80 Rental Cost 0.3 80 100 Size 0.2 70 70 Option 2, weighted score = 84 Option 2, weighted score = 83 Option 1, weighted score = 83 There is no difference between the two options Option 1, weighted score = 84arrow_forwardLocation A would result in annual fixed costs of $300,000 and variable costs of $55 per unit. Annual fixed costs at Location B are $600,000 with variable costs of $32 per unit. Sales volume is estimated to be 30,000 units per year. Which location has the lower cost at this volume? How large is its cost advantage? At what volume are the two facilities equal in cost?arrow_forwardA firm that has recently experienced enormous growth is seeking to lease a small plant in Memphis,TN; Biloxi, MS; or Birmingham, AL. Prepare an economic analysis of the three locations given thefollowing information: Annual costs for building, equipment, and administration would be $40,000for Memphis, $60,000 for Biloxi, and $100,000 for Birmingham. Labor and materials are expected tobe $8 per unit in Memphis, $4 per unit in Biloxi, and $5 per unit in Birmingham. The Memphis location would increase system transportation costs by $50,000 per year, the Biloxi location by $60,000per year, and the Birmingham location by $25,000 per year. Expected annual volume is 10,000 units.arrow_forward
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.