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a) Determine the objective function and formulate the system of inequalities satisfying the given constraints b) Sketch the feasible region satisfying the systems of those inequalities c) Sketch the objective function d) Find the number of packages of each grade of mixture that will realize maximum profit. State the profit

a) Determine the objective function and formulate the system of inequalities satisfying the given constraints b) Sketch the feasible region satisfying the systems of those inequalities c) Sketch the objective function d) Find the number of packages of each grade of mixture that will realize maximum profit. State the profit

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please provide me the full solutions for the question, a, b, c and d. This question is about linear programming. Thanks!
A nut seller mixes three kinds of nuts i.e. cashew, hazelnuts and pistachios. The table below shows the mixture Mixture Grade A Grade B Weight of cashew (gram) 20 10 Weight of hazelnut (gram) 10 10 Weight of pistachios (gram) 10 20 The nut seller has 10 kilogram of cashew, 7 kilogram of hazelnuts and 12 kilogram of pistachios. The profit of each package of grade A and grade B mixture respectively are 30 cents and 40 cents. Let x be the number of packages for grade A mixture and y be the number of packages for grade B mixture, a) Determine the objective function and formulate the system of inequalities satisfying the given constraints b) Sketch the feasible region satisfying the systems of those inequalities c) Sketch the objective function d) Find the number of packages of each grade of mixture that will realize maximum profit. State the profit
Transcribed Image Text:A nut seller mixes three kinds of nuts i.e. cashew, hazelnuts and pistachios. The table below shows the mixture Mixture Grade A Grade B Weight of cashew (gram) 20 10 Weight of hazelnut (gram) 10 10 Weight of pistachios (gram) 10 20 The nut seller has 10 kilogram of cashew, 7 kilogram of hazelnuts and 12 kilogram of pistachios. The profit of each package of grade A and grade B mixture respectively are 30 cents and 40 cents. Let x be the number of packages for grade A mixture and y be the number of packages for grade B mixture, a) Determine the objective function and formulate the system of inequalities satisfying the given constraints b) Sketch the feasible region satisfying the systems of those inequalities c) Sketch the objective function d) Find the number of packages of each grade of mixture that will realize maximum profit. State the profit
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