Each unit of a product can be made on either machine A or machine B. The nature of the machines makes their cost functions differ. Machine A: C(x) = 30 + Machine B: C(y) = 260 + Total cost is given by C(x,y) = C(x) + C(y). How many units should be made on each machine in order to minimize total costs if x+ y = 19,740 units are required? The minimum total cost is achieved when | units are produced on machine A and | |units are produced on machine B. (Simplify your answer.)

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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Each unit of a product can be made on either machine A or machine B. The nature of the machines makes their cost functions differ.
Machine A:
C(x) = 30+
3
Machine B:
C(y) = 260 +
Total cost is given by C(x.y) = C(x) + C(y). How many units should be made on each machine in order to minimize total costs if x+y = 19,740 units are required?
The minimum total cost is achieved when units are produced on machine A and units are produced on machine B.
(Simplify your answer.)
Transcribed Image Text:Each unit of a product can be made on either machine A or machine B. The nature of the machines makes their cost functions differ. Machine A: C(x) = 30+ 3 Machine B: C(y) = 260 + Total cost is given by C(x.y) = C(x) + C(y). How many units should be made on each machine in order to minimize total costs if x+y = 19,740 units are required? The minimum total cost is achieved when units are produced on machine A and units are produced on machine B. (Simplify your answer.)
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