Operations Management
13th Edition
ISBN: 9780135173626
Author: HEIZER, Jay, RENDER, Barry, Munson, Chuck
Publisher: Pearson,
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Chapter B, Problem 1CS
Quain Lawn and Garden, Inc
Bill and Jeanne Quain spent a career as a husband-and-wife real estate investment
By 2012, the Quains realized their retirement from real estate had really only led to a second career—in the plant and shrub business—and they filed for a New Jersey business license. Within a matter of months, they asked their attorney to file incorporation documents and formed the firm Quain Lawn and Garden, Inc.
Early in the new business’s existence, Bill Quain recognized the need for a high-quality commercial fertilizer that he could blend himself, both for sale and for his own nursery. His goal was to keep his costs to a minimum while producing a top-notch product that was especially suited to the New Jersey climate.
Working with chemists at Rutgers University, Quain blended “Quain-Grow.” It consists of four chemical compounds, C-30, C-92, D-21, and E-11. The cost per pound for each compound is indicated in the following table:
| CHEMICAL COMPOUND | COST PER POUND |
| C-30 | $.12 |
| C-30 | .09 |
| D-21 | .11 |
| E-11 | .04 |
The specifications for Quain-Grow are established as:
- a. Chemical E-11 must constitute at least 15% of the blend.
- b. C-92 and C-30 must together constitute at least 45% of the blend.
- c. D-21 and C-92 can together constitute no more than 30% of the blend.
- d. Quain-Grow is packaged and sold in 50-lb bags.
Discussion Questions
- 1. Formulate an LP problem to determine what blend of the four chemicals will allow Quain to minimize the cost of a 50-lb bag of the fertilizer.
- 2. Solve to find the best solution.
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Problem 1 (20 Points)
Davison Electronics manufactures three LED television monitors, identified as Model A, Model B, and Model C. Davison Electronics four manufacturing plants. Each model has its lowest possible production cost when produced at Plant 1. However, Plant 1 does not have the capacity to handle the total production of all three models. As a result, at least some of the production must be routed to the other manufacturing plants. The following table shows the minimum production requirements for next month, the plant capacities in units per month, and the production cost per unit at each plant:
Model
Production Cost per Unit
Minimum Production Requirements
Plant 1
Plant 2
Plant 3
Plant 4
A
$25
$28
$37
$34
48,000
B
$26
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$36
$41
75,000
C
$20
$31
$26
$23
60,000
Production Capacity
65,000
50,000
32,000
43,000
Davison’s objective is to determine the cost-minimizing production plan.
Without…
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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...
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