Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter B, Problem 2CS
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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Chapter B Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
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 - The LP relationships that follow were formulated...Ch. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 8PCh. B - Prob. 9PCh. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - Prob. 13PCh. B - Prob. 14PCh. B - Prob. 22PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - Prob. 27PCh. B - Prob. 28PCh. B - Prob. 29PCh. B - Prob. 30PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 34PCh. B - Prob. 35PCh. B - Prob. 36PCh. B - Prob. 37PCh. B - Prob. 38PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 40PCh. B - Prob. 41PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Prob. 1.1VCCh. B - Prob. 1.2VCCh. B - Prob. 1.3VCCh. B - Prob. 1.4VC
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