1(a) Given the Linear Programming (LP) problem below,Max Z = 5x + 4ys.t 6x + 4y < 246х + 3y< 22.5x + y5 5x + 2y < 6-x + y<1yS 2,х, у 2 0.Analyze and solve the problem, comment on the solution and what willbe your recommendation with respect to the solution.

Given data is Objective function: Max Z=5x+4y Subject to 6x+4y≤246x+3y≤22.5x+y≤5x+2y≤6-x+y≤1y≤2x,y≥0

1(a) Given the Linear Programming (LP) problem below, Max Z = 5x + 4y s.t 6x + 4y s 24 6x +3y s 22.5 x + ys 5 x + 2y 5 6 -x + ys1 yS 2. x, y 2 0. Analyze and solve the problem, comment on the solution and what will be your recommendation with respect to the solution.

1(a) Given the Linear Programming (LP) problem below, Max Z = 5x + 4y s.t 6x + 4y s 24 6x +3y s 22.5 x + ys 5 x + 2y 5 6 -x + ys1 yS 2. x, y 2 0. Analyze and solve the problem, comment on the solution and what will be your recommendation with respect to the solution.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

See similar textbooks

Related questions

Q: Determine the total weight of this graph's minimum-weight spanning tree.

A: Given that: From To Weight A B 3 A D 6 A E 9 B E 9 B C 2 B D 4 B F 9 C G 9 C D…

Q: Maximize p = 7x + 6y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p= (x, y,…

Q: x=3001 +252 8.t. 21 +2 1 + x2 #1 1, 2 Decide if this is a normal max LP (but I decided not to ask)…

A: Given LP- Max Z = 3x1 + 2x2Subject to-2x1 + x2≤100x1 + x2≤80x1≤40x1 ,x2≥0

Q: Using the grid technique to determine the least-cost location (warehouse) for this problem: Tons…

A: Given that, The grid technique determines the X coordinate of the center as the weighted average of…

Q: Find a polynomial function p which satisfies the following criteria: as x-x, p(x) - 88 The graph of…

Q: Given the linear program Max 3A +48 s.t. 4 -1A+ 28 S 8 1A + 2B ≤ 12 2A+ 18 ≤ 16 A, 82 0 a. Write the…

A: Find the Given details below:

Q: ABC Company, a soft-drink vendor, has created a table of costs for four stocking decisions for two…

A: Effective decision-making results from collecting valid and accurate information from the market…

Q: The operations manager for a water taxi company wants to decide whether to purchase a small, medium,…

A: Step 1: Identify the formula to be used to find the expected value of perfect information (EVPI)EVPI…

Q: • 4.29 The number of disk drives (in millions) made at a plant in Taiwan during the past 5 years…

Q: Describe how decision analysis is similar to and different from simulation analysis and scenario…

A: Decision analysis: Decision analysis helps to identify and access the decision which…

Q: 5. The manager of a fast-food restaurant featuring hamburgers is adding salads to the menu. If they…

A: The make-or-buy decision is one that is taken by operations managers during making a strategic…

Q: do fast currect answer

A: The linear approximation of a function at a point is the equation of the tangent line to the…

Q: do fast currect answer

A: The problem asks us to prove that the integral of a continuous function f along a smooth curve γ is…

Q: At a hydrocarbon processing factory, process control involves the periodic analysis of samples for a…

Q: Using multiple regression, you have identified P12,000 of unit level costs for 3,000 units, P1,000…

A: Cost is the total payment or money incurred to produce products and services in an organization.

Q: Seneca Hill Winery recently purchased land for the purpose of establishing a new vineyard.…

A: This is a diagrammatic representation of decisions available to choose from considering the…

Q: How do I determine what the decsion variables are in a problem?

A: One of the most important mathematical techniques in the field of optimisation and decision-making…

Q: A producer is currently selling three different brands (Brand A, Brand B, and Brand C) of fountain…

A: The given data is shown in a tabular form. Per unit data Brand A Brand B Brand C…

Q: ABC company wants to open one, two, or three shops. The average Profit varies with the demand in…

A: Concepts used to solve the problem: MAXIMAX: Determine the best possible payoff, and choose the…

Q: 12

A: When the value of objective coefficient (OF) is changed from 1.95 to 2 the optimality range is not…

Q: Solve correct complete solutions with handwriting solutions okk

A: To get the Molecular weight of the compound, you will be needing a periodic table of elements. Write…

Concept explainers

Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.

Question

1(a) Given the Linear Programming (LP) problem below,
Max Z = 5x + 4y
s.t 6x + 4y < 24
6х + 3y< 22.5
x + y5 5
x + 2y < 6
-x + y<1
yS 2,
х, у 2 0.
Analyze and solve the problem, comment on the solution and what will
be your recommendation with respect to the solution.

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 - Introduction

VIEW

Step 2 - Finding feasible region

VIEW

Step 3 - Finding optimal solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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.
Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?