Model the following decision-making situation as a linear program. A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by weight. These chemicals can be manufactured by three different processes using two different raw materials and a fuel. Production data are given in the table below. For how much time should each process be run in order to maximize the total amount of che blend manufactured? Requirements per unit time Output per unit time Fuel Chem 1 (units) (units) Raw 1 Raw 2 Chem 2 Process (units) (units) (units) 1 5 50 9. 2 6 8 75 7 10 3 4 11 100 10 6 Available 200 400 1850 (a) Clearly define the decision variables. (b) Write the objective function. (c) Write the constraints.
Model the following decision-making situation as a linear program. A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by weight. These chemicals can be manufactured by three different processes using two different raw materials and a fuel. Production data are given in the table below. For how much time should each process be run in order to maximize the total amount of che blend manufactured? Requirements per unit time Output per unit time Fuel Chem 1 (units) (units) Raw 1 Raw 2 Chem 2 Process (units) (units) (units) 1 5 50 9. 2 6 8 75 7 10 3 4 11 100 10 6 Available 200 400 1850 (a) Clearly define the decision variables. (b) Write the objective function. (c) Write the constraints.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.FOM: Focus On Modeling: Making The Best Decisions
Problem 7P: Cell Phone Plans Gwendolyn is mulling over the three cell phone plans shown in the table. Gigabytes...
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