Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter B, Problem 4P
B.4. Consider the following linear programming problem:
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c. Formulate Linear Optimization Models for the following:
i.
A company has been given a tender to supply maize to four drought zones. The cost of
transporting each unit from the grains depot to the drought zone is given below:
1 | 2 | 3
4 Supply
1
21 16 25 | 13
17 18 14 23
13
3
32 27 18 41
19
Demand
10 12 15
43
6.
2.
Problem 7-09 (Algorithmic)
Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $1,400, and the cost required to set up the production line for
the 6-cylinder connecting rods is $3,100. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production
changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,500 6-cylinder connecting rods and 8,200 4-cylinder connecting rods.
Let
X4 = the number of 4-cylinder connecting rods produced next week
X6 = the number of 6-cylinder connecting rods produced next week
S4= 1 if the production line is…
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...
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- Problem 3-19 (Algorithmic) Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit contribution and production time in hours per unit are as follows: Category Profit/unit Machine 1 time/unit Machine 2 time/unit Product 1 2 3 Two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator is required for machine 2. A maximum of 90 labor-hours is available for assignment to the machines during the coming week. Other production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 10% of the units produced. a. How many units of each product should be produced to maximize the total profit contribution? If required, round your answers the nearest whole number. If your answer is zero, enter "0". Profit = $ $ Machine 2 What is the projected weekly profit associated…arrow_forwardProblem 6-09 (Algorithmic) The Ace Manufacturing Company has orders for three similar products: Product Order (Units) A 1750 B 500 C 1100 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 as follows: Machine Capacity (Units) 1 1550 2 1450 3 1150 Product Machine A B C 1 $0.80 $1.30 $0.70 2 $1.40 $1.30 $1.50 3 $0.80 $0.80 $1.20 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". The linear programming formulation and optimal solution are shown. Let xij = Units of…arrow_forwardProblem 3. Let P2 be the vector space of polynomials of degree 2 equipped with the inner product >= † p(x)}q(x) dr. S = Let W be a subspace of P2 generated by the polynomial x 1. Find an orthogonal basis of the orthogonal complement of W.arrow_forward
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