Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter B, Problem 3P
Summary Introduction
To solve: The following linear programming problem graphically.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.
Iso-cost line method:
The iso-cost line method is a technique used to find the optimal solution of a linear programming problem. A parallel line is drawn and moved downward, towards the axis, until it touches the last corner point in the feasible region which has the lowest cost.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Karen owns a roof repair service and drives a van to local client sites. During the week she drives the following distances:
· From her home to her business headquarters: 8 miles
· From her headquarters to a client site: 15 miles
· From client site back to her headquarters: 15 miles
· Trip from her headquarters back home: 8 miles
How many miles does she count for business purposes?
Group of answer choices
8 miles.
15 miles.
30 miles.
46 miles.
Millie wants to install a new carpet in the living room of her house. She calculated the square footage of the room and then multiplied it by a set cost factor to estimate the cost. This is an example of_________
Group of answer choices
Parametric estimating
Three-point estimating
Bottom-up estimating
Analogous estimating
A gold mining area in Lanao contains on average 1 ounce of gold per ton. Two methods of processing are available; method a cost 1.5m per ton and recovers 90% of gold: method b cost 1.3m per ton and recovers 80% of the gold. If gold can be sold for 2.4m per ounce which method is better and by how much
Chapter B Solutions
Operations Management
Ch. B - Prob. 1DQCh. B - Prob. 2DQCh. B - Prob. 3DQCh. B - Prob. 4DQCh. B - Prob. 5DQCh. B - Prob. 6DQCh. B - Prob. 7DQCh. B - Prob. 8DQCh. B - Prob. 9DQCh. B - Prob. 10DQ
Ch. B - Prob. 11DQCh. B - Where a constraint crosses the vertical or...Ch. B - Prob. 13DQCh. B - Prob. 1PCh. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Prob. 7PCh. B - Prob. 8PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 14PCh. B - Prob. 15PCh. B - Prob. 16PCh. B - Prob. 17PCh. B - Prob. 18PCh. B - Prob. 19PCh. B - Prob. 20PCh. B - Prob. 21PCh. B - Prob. 22PCh. B - Prob. 23PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 28PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 30PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Solve the problemarrow_forwardA recruiter for a job placement agency is considering whether to pay $50,000 per year to lease a new recruiting facility in a prime location in Washington D. C. He estimates it will cost $50 per recruit to process the paperwork at this new location. He receives a $75 commission for each new recruit he processes. Part A - If the office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and 6,000 recruits will be processed per year, what will be the utilization of the office space?Part B - If his office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and he plans to be 90% efficient in his use of this space, how many recruits does he plan to process per year?arrow_forwardSensitivity analysis: what are the benefits of this application as it relates to linear programming?arrow_forward
- Benny is the manager of an office-support business that supplies copying, binding, and other services for local companies. He must replace a worn-out copy machine that is used for black- and-white copying. He is considering two machines, and each of these has a monthly lease cost plus a cost for each page that is copied. Machine 1 has a monthly lease cost of $639, and there is a cost of $0.030 per page copied. Machine 2 has a monthly lease cost of $747, and there is a cost of $0.045 per page copied. Customers are charged $.08 per page copied. a. What is the break-even point for each machine? b. If Benny expects to make 75,000 copies per month, what would be the monthly cost for each machine? (round your answers to the highest whole number)arrow_forwardA manufacturing firm has three plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (25) Customer 2 (50) Customer 3 (125) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 Note: This question requires Solver.Formulate the problem in Solver and find the optimal solution. What is the minimum total cost to meet all customer requirements?arrow_forwardBenny is the manager of an office-support business that supplies copying, binding, and other services for local companies. He must replace a worn-out copy machine that is used for black-and-white copying. He is considering two machines, and each of these has a monthly lease cost plus a cost for each page that is copied. Machine 1 has a monthly lease cost of $619, and there is a cost of $0.040 per page copied. Machine 2 has a monthly lease cost of $685, and there is a cost of $0.025 per page copied. Customers are charged $.12 per page copied. If Benny expects to make 75,000 copies per month, what would be the monthly cost for each machine?arrow_forward
- The Ace Manufacturing Company has orders for three similar products. Product Min A s.t. B C 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A LB B Ic C Product 4 2 3 Orders (units) Machine 1 Capacity Product A Orders Machine 2 Capacity Product B Orders Machine 3 Capacity Product C Orders 1,800 X20 for all i, j. 700 1,100 Capacity (units) 1,400 (a) Develop the linear programming formulation of this problem. (Let x₁ be the number of units of product A produced by XA1 machine 1, x,, be the number of units of product i produced by machine j, etc.) 1,500 1,000 1 Machine $1.00 $1.30 $1.10 2 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 3 (b) Solve the transportation model for the…arrow_forwardThe Seaside Hotel is a three-star hotel in Newquay, Cornwall. It contains 108 rooms and employs 30 fulltime and 40 parttime personnel. Between May and August, the hotel's workforce is nearly doubled by casual and temporary workers. Cornwall is a difficult place to do business, especially in the tourism industry. Business is highly seasonal with hotels experiencing very low occupancy during the offseason and many hotels choose not to operate during this time. The Seaside Hotel operates all year round by supplementing its tourism trade during the off-season by offering discounted conferencing facilities for local businesses and as a cheap base for corporate events and activities, such as team building weekends. Tourism is, however, vitally important for the region and its businesses and provides a significant proportion of all jobs in the South West. Cornwall can, however, be a difficult place in which to work. For instance, Newquay – Cornwall’s most popular holiday destination – is one…arrow_forwardA company has fixed costs of $300,000 and produces one product with a selling price of $72.00and a variable cost of $42.00 per unit. The maximum factory capacity is 20,000 units and itanticipates selling 15,000 units. Determine the break-even point of operation.arrow_forward
- The Ace Manufacturing Company has orders for three similar products. Product A Min B C 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A B B Ic C Product 1 12 3 Orders (units) 1,900 500 1,100 Capacity (units) 1,300 1,600 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 (a) Develop the linear programming formulation of this problem. (Let XA1 be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.)arrow_forwardThe Ace Manufacturing Company has orders for three similar products. Orders (units) Product A B с 1 2 Machine 3 A Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A B B IC c с Product 1 2 2,200 3 300 1,400 Capacity (units) 1,800 1,700 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20arrow_forwardThe Canadian government has built a large grain-shipping port at Churchill, Manitoba, on the Hudson Bay. Grain grown in southern Manitoba is carried by rail to Churchill during the open-water shipping season. Unfortunately the port is open only 50 days per year during July and August. This leads to some critical crew staffing decisions by management. The port has the capacity to load up to 7 ships simultaneously, provided that each loading bay has an assigned crew. The remote location and short shipping season results in a very high labor cost for each crew assigned, and management would like to minimize the number of crews. Ships arrive in a random pattern that can be modeled using the Poisson probability model. If a ship arrives and all available loading bays are filled, the ship will be delayed, resulting in a large cost that must be paid to the owner of the ship. This penalty was negotiated to encourage ship owners to send their ships to Churchill.Results of an initial analysis…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,