The Digital Star Company makes two different models of computer tablets, which are assembled on two different assembly lines. Line 1 can assemble 34 units of the Star model and 44 units of the Prostar model per hour, and line 2 can assemble 170 units of the Star model and 44 units of the Prostar model per hour. The company needs to produce at least 306 units of the Star model and 220 units of the Prostar model to fill an order. If it costs $300 per hour to run line 1 and $400 per hour to run line 2, how many hours should each line be run to fill the order at the minimum cost?
The Digital Star Company makes two different models of computer tablets, which are assembled on two different assembly lines. Line 1 can assemble 34 units of the Star model and 44 units of the Prostar model per hour, and line 2 can assemble 170 units of the Star model and 44 units of the Prostar model per hour. The company needs to produce at least 306 units of the Star model and 220 units of the Prostar model to fill an order. If it costs $300 per hour to run line 1 and $400 per hour to run line 2, how many hours should each line be run to fill the order at the minimum cost?
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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The Digital Star Company makes two different models of computer tablets, which are assembled on two different assembly lines. Line 1 can assemble 34 units of the Star model and 44 units of the Prostar model per hour, and line 2 can assemble 170 units of the Star model and 44 units of the Prostar model per hour. The company needs to produce at least 306 units of the Star model and 220 units of the Prostar model to fill an order. If it costs $300 per hour to run line 1 and $400 per hour to run line 2, how many hours should each line be run to fill the order at the minimum cost?
| line 1 | hr |
| line 2 | hr |
What is the minimum cost?
$
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