Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter C, Problem 6P
Summary Introduction
To determine: The total cost of the given transportation problem.
Introduction: The major objective of the transportation problem is to minimize the distributing cost of a product from a source to an origin. Transportation problem is one of the type of linear programming.
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Question 2: Consider the following model:
Minimize Z = 3x, + 2x2,
subject to
2r, + x2 2 10
-3x, + 2x2 s 6
2 6
X1 + X2
and
X, 2 0,
X2 2 0.
Part a) Solve it using graphical technique.
Part b) Write its dual model and explain how we can find dual optimal solutions from primal solutions.
Question 5The management of CDC Construction Pioneers have decided to build 900 new apartments in the Kasoa area due to the influx of immigrant workers into the country. Two Architectural Companies have provided building plans and technical schematics for the project. Management are happy with the proposals of both Standard apartment and Deluxe apartment. After investigating the steps involved in construction, management determined that each apartment complex built will require some resources. Management analysed each of the bids and concluded that if the plans of Standard apartment are built, it requires 0.7 days in foundation works, 0.5 days in the masonry, 1 day in finishing, and 0.1 days in painting works. Deluxe apartment will require 1 day in foundation works, 0.83 days in the masonry, 0.67 days in finishing, and 0.25 days in the painting works. Management estimate that, 630 days for foundation works, 600 days for masonry, 708 days for finishing and 135 days for 11painting works…
QUESTION ONE
A) Use graphical methodto solve following LP problem.
Maximize z = 2x, + x
subiect to the constraints
X,+ 2x, < 10
x, + 2x, S1
B)Jse the penalty (Big - M) method to solve the following LP problem.
Minimize Z = x, + 2x, + 3x, - x
subject to the constraints
X1+ 2x, + 3x3 = 15
2x1 + 2x, +5x = 20
X1 + 2x, + x3 +x = 10
Chapter C Solutions
Operations Management
Ch. C - Question: 1. What are the three information needs...Ch. C - Question: 2. What are the steps in the intuitive...Ch. C - Prob. 3DQCh. C - Prob. 4DQCh. C - Prob. 5DQCh. C - Prob. 6DQCh. C - Prob. 7DQCh. C - Prob. 8DQCh. C - Prob. 9DQCh. C - Prob. 10DQ
Ch. C - Prob. 11DQCh. C - Prob. 12DQCh. C - Prob. 13DQCh. C - Prob. 1PCh. C - Question: C.2 Consider the transportation table...Ch. C - Prob. 3PCh. C - Prob. 4PCh. C - Prob. 5PCh. C - Prob. 6PCh. C - Question: C.7 The three blood banks in Seminole...Ch. C - Question: C.8 In Solved Problem C 1 (page 728),...Ch. C - Question: C.9 For the following Gregory Bier...Ch. C - Prob. 10PCh. C - Prob. 11PCh. C - Prob. 12PCh. C - Question: C.12 Dana Johnson Corp. is considering...Ch. C - Prob. 1CS
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- QUESTION THREEGiven the LP below:a) Solve the problem using big M-methodMinimize Z = 3X1 +4X2s.t 4X1 + X2 ≥ 30−X1 − 4X2 ≤ −184X1 + 3X2 ≥ 28X1, X2, ≥ 0arrow_forwardQUESTION 6 1 pc In the simplex method, if there is a tie (equality) between decision variable and a slack (or surplus) variable in C-Z row for a maximization LP, selected. should be O decision variable O Slack variable O Any variable with highest posative value O surplus variablearrow_forwardQuestion 1. Busch Gardens Sweets is preparing for the Halloween rush. They prepare two sizes of Peanut/Raisin Ghoulish Delight and need to calculate how many bags of deluxe and standard mixes they can produce. • The deluxe mix takes 0.9 of a pound of raisins and 0.4 of a pound of peanuts.• The standard mix takes 0.7 of a pound of raisins and 0.6 of a pound of peanuts.The shop has 100 pounds of raisins and 70 pounds of peanuts. The profit on the deluxe mix is $1.80 and the standard mix profit is $1.60. The owner wants no more than 110 bags of each type prepared. Do not forget the non-negativity constraint and remember that you cannot sell partial bags (whole numbers only). Use Excel Solver Question 2. Take a screenshot (snip tool) of you excel spreadsheet and save it.arrow_forward
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