A company produces 2 (two) 3(three) components (1,2,3). The company wants to determine the optimal mix of the three components in each grade of the gasoline that will maximize profit. The maximum quantities available for each component and their cost per gallon are as follows: rent grades of gasoline – regular and premium from maximum gallons available per day Component Cost per gallon 1 2.50 5,000 2.60 10,000 2.84 10,000 In order to ensure the appropriate blend, each grade has certain specifications as follows: Grade | Component Specs Selling Price per gallon | At most 30% component 1 At least 40% component 2 Regular At most 20% component 3 2.90 |At least 25% component 1 |At most 45% component 2 Premium |At Least 30% component 3 3.00 The company wants to produce at least 10,000 gallons of each grade of gasoline. Formulate a P model including the ratio constraints, production constraints and the objective function or this guestion.
A company produces 2 (two) 3(three) components (1,2,3). The company wants to determine the optimal mix of the three components in each grade of the gasoline that will maximize profit. The maximum quantities available for each component and their cost per gallon are as follows: rent grades of gasoline – regular and premium from maximum gallons available per day Component Cost per gallon 1 2.50 5,000 2.60 10,000 2.84 10,000 In order to ensure the appropriate blend, each grade has certain specifications as follows: Grade | Component Specs Selling Price per gallon | At most 30% component 1 At least 40% component 2 Regular At most 20% component 3 2.90 |At least 25% component 1 |At most 45% component 2 Premium |At Least 30% component 3 3.00 The company wants to produce at least 10,000 gallons of each grade of gasoline. Formulate a P model including the ratio constraints, production constraints and the objective function or this guestion.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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Transcribed Image Text:a. A company produces 2 (two) different grades of gasoline – regular and premium from
3(three) components (1,2,3). The company wants to determine the optimal mix of the
three components in each grade of the gasoline that will maximize profit. The maximum
quantities available for each component and their cost per gallon are as follows:
maximum
gallons available
Component
Cost per gallon
per day
1
2.50
5,000
2.60
10,000
3
2.84
10,000
In order to ensure the appropriate blend, each grade has certain specifications as follows:
Grade
Component Specs
Selling Price per gallon
At most 30% component 1
At least 40% component 2
Regular
At most 20% component 3
2.90
At least 25% component 1
At most 45% component 2
Premium
At Least 30% component 3
3.00
The company wants to produce at least 10,000 gallons of each grade of gasoline. Formulate a
LP model including the ratio constraints, production constraints and the objective function
for this question.
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