Question 1 B 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: Component Cost per gallon maximum gallons available per day 1 2.50 5,000 2 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 Regular At most 30% component 1 At least 40% component 2 At most 20% component 3 2.90 Premium At least 25% component 1 At most 45% component 2 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.

Question 1 B 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: Component Cost per gallon maximum gallons available per day 1 2.50 5,000 2 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 Regular At most 30% component 1 At least 40% component 2 At most 20% component 3 2.90 Premium At least 25% component 1 At most 45% component 2 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.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 56P

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Q-2) A company makes two kinds of door Knobs, standard and deluxe ,the making process cost the company 15$ for the standard and 20$ for the deluxe by making on a grinder and a smoother machines, which they can be run for at most 80 hours a week, each standard one needs 2 hours on the grinder, and 4 hours on the smoother, and each deluxe one needs 4 hours on the grinder and 3 hours on the smoother ,the company sales at 25$,35$ for the standard and the deluxe respectively. To have the profit it wants the company decide to make at least 15 knobs from them at a week, formulate the linear programming model?