The Digital Star Company makes two different models of computer tablets, which are assembled on two different assembly lines. Line 1 can assemble 30 units of the Star model and 40 units of the Prostar model per hour, and Line 2 can assemble 150 units of the Star model and 40 units of the Prostar model per hour. The company needs to produce at least 270 units of the Star model and 200units of the Prostar model to fill an order. (a) Write the inequalities that describe the production constraints on the number of each type of tablet needed to fill the order. (Let x be the number of hours that Line 1 is run, and let y be the number of hours that Line 2 is run.)
The Digital Star Company makes two different models of computer tablets, which are assembled on two different assembly lines. Line 1 can assemble 30 units of the Star model and 40 units of the Prostar model per hour, and Line 2 can assemble 150 units of the Star model and 40 units of the Prostar model per hour. The company needs to produce at least 270 units of the Star model and 200units of the Prostar model to fill an order. (a) Write the inequalities that describe the production constraints on the number of each type of tablet needed to fill the order. (Let x be the number of hours that Line 1 is run, and let y be the number of hours that Line 2 is run.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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 30 units of the Star model and 40 units of the Prostar model per hour, and Line 2 can assemble 150 units of the Star model and 40 units of the Prostar model per hour. The company needs to produce at least 270 units of the Star model and 200units of the Prostar model to fill an order.
(a) Write the inequalities that describe the production constraints on the number of each type of tablet needed to fill the order. (Let x be the number of hours that Line 1 is run, and let y be the number of hours that Line 2 is run.)
(b) Graph the region determined by these constraint inequalities.
|
|
production constraint, Star model | |
|
|
production constraint, Prostar model | |
| x ≥ 0 | production constraint, hours that Line 1 is run | |
| y ≥ 0 | production constraint, hours that Line 2 is run |
(b) Graph the region determined by these constraint inequalities.
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