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1. A wholesale buyer deals in only two items-Toffees and Wafers. He has 30,000 OMR to invest and has shop space of at most 5000 Wafer boxes. The space required for a Wafer box is exactly twice as the space of a Toffee box. A Toffee box of costs 4 OMR and a box of Wafer cost 5 OMR. He estimates that from the sale of one Toffee box, he can make a profit of 250 Baisa and that from the sale of one box of Wafer a profit of 570 Baisa. He wants to know how many Toffee Boxes and Wafer boxes he should buy from the available money to maximize his total profit, assuming that he can sell all the items, which he buys. Formulate it as a linear programming problem.

1. A wholesale buyer deals in only two items-Toffees and Wafers. He has 30,000 OMR to invest and has shop space of at most 5000 Wafer boxes. The space required for a Wafer box is exactly twice as the space of a Toffee box. A Toffee box of costs 4 OMR and a box of Wafer cost 5 OMR. He estimates that from the sale of one Toffee box, he can make a profit of 250 Baisa and that from the sale of one box of Wafer a profit of 570 Baisa. He wants to know how many Toffee Boxes and Wafer boxes he should buy from the available money to maximize his total profit, assuming that he can sell all the items, which he buys. Formulate it as a linear programming problem.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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1. A wholesale buyer deals in only two items-Toffees and Wafers. He has 30,000 OMR to invest and has shop space of at most 5000 Wafer boxes. The space required for a Wafer box is exactly twice as the space of a Toffee box. A Toffee box of costs 4 OMR and a box of Wafer cost 5 OMR. He estimates that from the sale of one Toffee box, he can make a profit of 250 Baisa and that from the sale of one box of Wafer a profit of 570 Baisa. He wants to know how many Toffee Boxes and Wafer boxes he should buy from the available money to maximize his total profit, assuming that he can sell all the items, which he buys. Formulate it as a linear programming problem.
Transcribed Image Text:1. A wholesale buyer deals in only two items-Toffees and Wafers. He has 30,000 OMR to invest and has shop space of at most 5000 Wafer boxes. The space required for a Wafer box is exactly twice as the space of a Toffee box. A Toffee box of costs 4 OMR and a box of Wafer cost 5 OMR. He estimates that from the sale of one Toffee box, he can make a profit of 250 Baisa and that from the sale of one box of Wafer a profit of 570 Baisa. He wants to know how many Toffee Boxes and Wafer boxes he should buy from the available money to maximize his total profit, assuming that he can sell all the items, which he buys. Formulate it as a linear programming problem.
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