Hi,I am working on this linear program question. This is for supply chain management, how do i calculate this using the graphical solution procedure?Thanks c. Maximize Z = 6A + 3B (revenue)Subject toMaterialMachineryLabour1020A +6B ≤ 600 kg1,000 hr25A + 20B ≤20A + 30B ≤ 1,200 hrA, B ≥ 0i. What are the optimal values of the decision variables and Z?ii. Do any constraints have slack? If yes, which one(s) and how much slack does each have?iii. Do any constraints have surplus? If yes, which one(s) and how much surplus does each have?iv. Are any constraints redundant? If yes, which one(s)? Explain briefly.

Answered: Image /qna-images/answer/61cacae4-c2b5-4a2a-aa53-ad0fedd2469c.jpg

c. Maximize Z Subject to 6A + 3B (revenue) Material 20A +6B ≤ 600 kg Machinery 25A + 20B ≤ 1,000 hr Labour 20A 30B ≤ 1,200 hr A, B 2 0 i. What are the optimal values of the decision variables and Z? ii. Do any constraints have slack? If yes, which one(s) and how much slack does each have? iii. Do any constraints have surplus? If yes, which one(s) and how much surplus does each have? iv. Are any constraints redundant? If yes, which one(s)? Explain briefly.

c. Maximize Z Subject to 6A + 3B (revenue) Material 20A +6B ≤ 600 kg Machinery 25A + 20B ≤ 1,000 hr Labour 20A 30B ≤ 1,200 hr A, B 2 0 i. What are the optimal values of the decision variables and Z? ii. Do any constraints have slack? If yes, which one(s) and how much slack does each have? iii. Do any constraints have surplus? If yes, which one(s) and how much surplus does each have? iv. Are any constraints redundant? If yes, which one(s)? Explain briefly.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Home Creations Inc. produces outdoor garden swings. For the first year, the fixed set-up costs are…

A: Fixed cost=$77000Variable cost=$140Revenue from each swing=$250

Q: 5) Maximizing Revenue You are the marketing manager for LTCC Ski Area, from the previous experience,…

A: The question mentions that the manager can sell 3000 lift tickets when the price is set at $40. Now,…

Q: (500-X) 20M 500M

A: Given: A person on a one side of a straight river that is 20 meters wide. Other side of the river at…

Q: 1. Suppose a business purchases a photocopier for $12,000 in 2020. The accounting department of the…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 70 bushels of fruit. She…

A: A farmer finds that if she plants 85 trees per acre, each tree will yield 70 bushels of fruit. She…

Q: What is pivoting? Explain with example ie usefulness of it.

A: Pivoting: The element in the diagonal of a matrix by which other elements are divided in an…

Q: Suppose the supply-demand equations for a logo sweatshirt in a particular week are p-55-0.10q for…

A: Given: Demand function: p=55-0.10q ……1 Supply function: p=25+0.20q ……2

Q: supply and demand functions

A: We have to find out the equilibrium quantity and equilibrium price. It is given that the supply…

Q: Use layman's term to discuss Broyden's method for solving nonlinear equations.

Q: Eastman Publishıng Company is considening publishing an electronic textbook about spreadsheet…

A: Given: Eastman Publishing Company is considering publishing an electronic textbook on spreadsheet…

Q: Give an example of using linear regression to solve a business problem

A: One of the most important use case of linear regression is in predictive analytics. Using the…

Q: The supply equation for a new crop is given by p=2x+5 and the demand equation is given by p= -x + 11…

A: Given query is to find equilibrium price.

Q: herseys makes chocolate. the old way 6gm sugar and 3 gm chocolate per liter. the new process uses…

A: There are two processes of making chocolates that are given in the problem. First is by using the…

Q: Company A sells floor tiles which are 2 square feet in area, weigh 4 pounds, and cost $1. Company B…

A: Let we need to buy x tiles from company A and y tiles from company B Given that the total cost is no…

Q: Flying twice as far A flight from Los Angeles to ABQ is about 2 hours but is 670.2 miles. A flight…

A: 1. let the time taken for flight for takeoff and landing be x. given that travel in the air will…

Question

Hi,

I am working on this linear program question. This is for supply chain management, how do i calculate this using the graphical solution procedure?

Thanks

c. Maximize Z = 6A + 3B (revenue)
Subject to
Material
Machinery
Labour
10
20A +6B ≤ 600 kg
1,000 hr
25A + 20B ≤
20A + 30B ≤ 1,200 hr
A, B ≥ 0
i. What are the optimal values of the decision variables and Z?
ii. Do any constraints have slack? If yes, which one(s) and how much slack does each have?
iii. Do any constraints have surplus? If yes, which one(s) and how much surplus does each have?
iv. Are any constraints redundant? If yes, which one(s)? Explain briefly.

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: The problem

VIEW

Step 2: Graph of the problem

VIEW

Step 3: part (i)

VIEW

Step 4: Part-(ii),(iii) and (iv)

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Does the average person really need to deal with the complexities of dynamic programming?
The production function of a company is: q = 16 L+ 15 K - K?/5 - 2 L²/ 10 - 3 where "q" is the quantity of mobile phones produced per day, “L" is the number of employees, and "K" is the units of capital worth USD 10,000. The cost of unit capital per day is USD 20. and the average monthly salary of an employee is USD 1,200. The management wants you to find the optimal values of “q", “K" and “L" in order to maximize profit, if the unit selling price of each mobile phone is USD 100.
The demand equation for a manufacturer's product is p= -3q + 462, while the total cost function is c =36q + 600. Find the price and quantity which maximize profit. Page
デジタル形式で段階的に解決ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT 5. The demand function for an electronics company's line of laptops is p = 2400 - 6q, where p is the price (in dollars) per unit when consumers demand q units (weekly). Determine the level of production that will maximize the manufacturer's total income and determine this income.
I am really struggling with 1-23
ONLY ANSWER B3!!! The inventory manager at a warehouse distributor wants to predict inventory cost (Cost in $) based on order quantity (Quantity in units). She thinks it may be a nonlinear relationship because its two primary components move in opposite directions: (1) order processing cost (costs of procurement personnel, shipping, transportation), which decreases as order quantity increases (due to fewer orders needed), and (2) holding cost (costs of capital, facility, warehouse personnel, equipment), which increases as order quantity increases (due to more inventory held). She has collected monthly inventory costs and order quantities for the past 36 months. A portion of the data is shown in the accompanying table. Cost Quantity 54.4 844 52.1 503 60.2 300 53.8 869 51.7 525 57.1 1030 61.1 288 49.8 577 53.9 490 48.2 588 47.5 606 57.4 325 59.6 1160 58.2 1072 58.7 308 58.1 1140 48.4 627 63.4 214 62.5 207 62.5 1174 62.7 1190 61.2 1166…