5. A machine producing either product A and B can produce A by using 2 units of chemicals and 1 unit of a compound and can produce B by using 1 unit of chemicals and 2 units of the compound. Only 800 units of chemicals and 1000 units of the compound are available. The profits available per unit of A and B are respectively Rs.30 and Rs.20. Find the optimum allocation of units between A and B to maximize the total profit. Find the maximum profit.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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5. A machine producing either product A and B can produce A by using
2 units of chemicals and 1 unit of a compound and can produce B by
using 1 unit of chemicals and 2 units of the compound. Only 800 units of
chemicals and 1000 units of the compound are available. The profits
available per unit of A and B are respectively Rs.30 and Rs.20. Find the
optimum allocation of units between A and B to maximize the total
profit. Find the maximum profit.
3
Transcribed Image Text:5. A machine producing either product A and B can produce A by using 2 units of chemicals and 1 unit of a compound and can produce B by using 1 unit of chemicals and 2 units of the compound. Only 800 units of chemicals and 1000 units of the compound are available. The profits available per unit of A and B are respectively Rs.30 and Rs.20. Find the optimum allocation of units between A and B to maximize the total profit. Find the maximum profit. 3
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