A company has three factories making cars. The factories use different processes and produce cars at different rates. Factory X makes 5 fullsize cars per day, 5 midsize cars per day, and 5 economy cars per day. Factory Y makes 2 fullsize cars per day, 3 midsize cars per day, and 4 economy cars per day. Factory Z makes 16 fullsize cars per day, 19 midsize cars per day, and 22 economy cars per day. The company wants to produce 51 fullsize cars, 59 midsize cars, and 67 economy cars. The question is: how many days should each factory run to do so? The linear algebra problem has infinitely many solutions. Not all of these are physically possible. We care about the physically possible solutions.
A company has three factories making cars. The factories use different processes and produce cars at different rates. Factory X makes 5 fullsize cars per day, 5 midsize cars per day, and 5 economy cars per day. Factory Y makes 2 fullsize cars per day, 3 midsize cars per day, and 4 economy cars per day. Factory Z makes 16 fullsize cars per day, 19 midsize cars per day, and 22 economy cars per day. The company wants to produce 51 fullsize cars, 59 midsize cars, and 67 economy cars. The question is: how many days should each factory run to do so? The linear algebra problem has infinitely many solutions. Not all of these are physically possible. We care about the physically possible solutions.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 46E
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