The Phony TV company makes two different types of television sets, OLED and LED, which are assembled by two different assembly lines. When Line One operates it assembles 30 units of the OLED model and 50 units of the LED model per hour. Line Two assembles 40 units of the OLED model and 40 units of the LED model per hour. Let x be the number of hours that Line One operates and y the number of hours Line Two operates. Phony needs to produce at least 3000 units of the OLED model and 4000 units of the LED model to fill an order. (a) Write down the inequalities that describe the assembly constraints. (b) Graph the feasible region determined by these constraints.

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ISBN:9780470458365
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The Phony TV company makes two different types of television sets,
OLED and LED, which are assembled by two different assembly lines.
When Line One operates it assembles 30 units of the OLED model
and 50 units of the LED model per hour. Line Two assembles 40 units
of the OLED model and 40 units of the LED model per hour. Let x
be the number of hours that Line One operates and y the number of
hours Line Two operates. Phony needs to produce at least 3000 units
of the OLED model and 4000 units of the LED model to fill an order.
(a) Write down the inequalities that describe the assembly constraints.
(b) Graph the feasible region determined by these constraints.
Transcribed Image Text:The Phony TV company makes two different types of television sets, OLED and LED, which are assembled by two different assembly lines. When Line One operates it assembles 30 units of the OLED model and 50 units of the LED model per hour. Line Two assembles 40 units of the OLED model and 40 units of the LED model per hour. Let x be the number of hours that Line One operates and y the number of hours Line Two operates. Phony needs to produce at least 3000 units of the OLED model and 4000 units of the LED model to fill an order. (a) Write down the inequalities that describe the assembly constraints. (b) Graph the feasible region determined by these constraints.
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