Suppose we have a supply of 6000 units of S and 8000 units of T, where S and T are used materials in the manufacture of certain products P, Q and R. If each unit of P demands 2 units of S and 0 units of T, each unit of Q uses 3 units of S and 4 units of T, and each unit of R uses 1 unit of S and 4 of T. How many units of P, Q and R must occur if the entire supply is to be consumed?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Suppose we have a supply of 6000 units of S and 8000 units of T, where S and T are used materials in the manufacture of certain products P, Q and R. If each unit of P demands 2 units of S and 0 units of T, each unit of Q uses 3 units of S and 4 units of T, and each unit of R uses 1 unit of S and 4 of T. How many units of P, Q and R must occur if the entire supply is to be consumed?

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