Operations Management
13th Edition
ISBN: 9780136860419
Author: Lee Krajewski
Publisher: Pearson Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter B, Problem 2P
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Maximize f = x + y subject to the following constraints:
x
+
2y
≤
8
-2x
+
3y
≤
2
x
≤
4
≤ x
0 ≤ y
Solve with explanation:
Please show solution and formula used.
Assuming the total number of students studying in the top four universities in the Philippines is approximately 158,000.
And the distribution is as follows:
University of the Philippines (UP) - 40% of the total number
Ateneo de Manila University (ADMU) - 23,700
De La Salle University (DLSU) - 25% of the total number
University of Santo Tomas - 20% of the total number
And only the following number of students owns a tablet computer:
20% of UP students
85% of ADMU students
90% of DLSU students
85% of UST students
What is the total market penetration of tablet computers among the students of the top four universities?
What is the total market size of tablet computers in the top four universities?
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. 2PCh. B - Prob. 3PCh. B - Prob. 25PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 26PCh. B - Prob. 27PCh. B - Prob. 5PCh. B - Prob. 6PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 8PCh. B - Prob. 28PCh. B - Prob. 29PCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 22PCh. B - Prob. 9PCh. B - Prob. 34PCh. B - Prob. 35PCh. B - Prob. 36PCh. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - Prob. 30PCh. B - Prob. 37PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 13PCh. B - Prob. 38PCh. B - Prob. 40PCh. B - Prob. 15PCh. B - Prob. 16PCh. B - Prob. 17PCh. B - Prob. 18PCh. B - Prob. 19PCh. B - Prob. 20PCh. B - Prob. 33PCh. 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
- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.arrow_forwardSuppose the following costs for a 10-hour round-trip flight apply to the time frame and expenses of an unscheduled 5-hour charter flight from Baltimore to Las Vegas (and return the next day) on a seven-year-old Boeing 737–800 with 120 occupied seats. Some costs listed in the table have been aggregated up to the flight level from a seat-level decision where they are incurred. Others have been allocated down to the flight level from an entry/exit or maintain-ownership company-level decision. Still other costs vary with the go/no go flight-level decision itself. Your job is to analyze each cost item and figure out the “behavior of cost”—that is, with which decision each cost varies. Fuel and landing fees =$5,200 Quarterly airframe maintenance re: FAA certificate = $1,000 Unscheduled engine maintenance per 10 flight hours =$1,200 Pro rata time depreciation for seventh year of airframe = $7,200 Flight pay for pilots per round-trip flight = $4,200 Long-term hangar facility lease = $6,600…arrow_forwardDefine Linear programming (LP)?arrow_forward
- Need help only with finding the optimal solutionarrow_forwardFour qualified postgraduate students are to be allocated to four professors. The preference given by student (scale 1-10) is shown as table below. Student A В C D Professor James Jordan Janet 7 8 6. Jessy 5 8. 7 (a) Formulate a linear programming model for the problem. [NOTE: Please use x, where i = 1, 2,...,n -Professor and j=1, 2,...,m -Student to represent your decision variables.] (b) From the output below, what is the optimal allocation plan and what is the total preference scales obtained from the allocation plan? Model Variable Original Value Final Value Value x11 1 1 Value x12 1 Value x13 1 Value x14 Value x21 Value x22 Value x23 1 1 1 1 1 Value x24 1 Value x31 Value x32 Value x33 1 1 1 1 Value x34 1 Value x41 1 Value x42 1 Value x43 1 Value x44 1 1 699 445arrow_forwardMillie 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 estimatingarrow_forward
- Find decision variables, objective function, constraints and non-negativity constraints An auto company manufactures cars and trucks. Each vehicle must be processed in the paint shop and body assembly shop. If the paint shop were only painting trucks, 40 per day could be painted. If the paint shop were only painting cars, 60 per day could be painted. If the body shop were only producing cars, it could process 50 per day. If the body shop were only producing trucks, it could process 50 per day. Each truck contributes $300 to profit and each car contributes $200 to profit. In addition, the auto company can produce at most 30 trucks and 20 cars. The company wants to determine the daily production schedule that will maximize the company’s profit. Formulate the LP model for the problem.arrow_forwardsolve for y in part barrow_forwardGeorgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here: Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Hours required to complete all the oak cabinets 50 44 32 Hours required to complete all the cherry cabinets 61 46 34 Hours available 35 25 30 Cost per hour $36 $43 $56 For example, Cabinetmaker 1 estimates that it will take 50 hours to complete all the oak cabinets and 61 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 35 hours available for the final…arrow_forward
- Chapter : sensitivity analysis in linear programmingarrow_forwardJerry Wei, the hospital administrator at St. Charles General, must appoint head nurses to four newly established departments: urology, cardiology, orthopedics, and obstetrics. In anticipation of this staffing problem, he had hired four nurses, considered their backgrounds, personalities, and talents, and developed a cost scale ranging from 0 to 100 to be used in the assignment. A 0 for a nurse being assigned to the cardiology unit implies that the nurse would be perfectly suited to that task. A value close to 100, on the other hand, would imply that he or she is not at all suited to head that unit. The accompanying table gives the complete set of cost figures that the hospital administrator feels represented all possible assignments. Which nurse should be assigned to which unit? Department Urology Cardiology Orthopedics 28 18 15 32 48 23 51 36 24 25 38 55 Determine the assignment of nurses. The total cost is (enter your response as a whole number). Nurse Kitty Forman Carol Hathaway…arrow_forwardGeorgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here: Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Hours required to complete all the oak cabinets 47 40 27 Hours required to complete all the cherry cabinets 64 51 36 Hours available 40 30 35 Cost per hour $34 $41 $52 For example, Cabinetmaker 1 estimates it will take 47 hours to complete all the oak cabinets and 64 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours available for the final…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,