Valencia Products make automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where x is the number of LaserStop models produced and y is the number of SpeedBuster models produced. Graph the constraints and identify the feasible region. Then identify each of the corner points and show how increasing the objective function value identifies the optimal solution. Maximize Profit=124x+138y 19x+12y ≤ 3000 6x + 7y ≤2500 x≥0 and y≥0 OB. 800- Ay 800- Q Q 408 406 G 50 65 x 400 800 O C. 800 400 O D. Ay 800- Q 400 800 Identify the vertices of the given feasible region. (0, 0), (0, 250), (157.89, 0) (Type an ordered pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as needed.) The optimal solution is to produce LaserStop models and SpeedBuster models, which gives the (Round to two decimal places as needed.) value of the objective function, 400 800 x

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Valencia Products make automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm
found the following linear optimization model for profit, where x is the number of LaserStop models produced and y is the number of SpeedBuster models produced. Graph the constraints and identify the feasible region. Then identify each of
the corner points and show how increasing the objective function value identifies the optimal solution.
Maximize Profit=124x+138y
19x+12y ≤ 3000
6x + 7y ≤2500
x≥0 and y≥0
OB.
800-
Ay
800-
Q
Q
408
406
G
50 65
x
400
800
O C.
800
400
O D.
Ay
800-
Q
400
800
Identify the vertices of the given feasible region.
(0, 0), (0, 250), (157.89, 0)
(Type an ordered pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as needed.)
The optimal solution is to produce LaserStop models and SpeedBuster models, which gives the
(Round to two decimal places as needed.)
value of the objective function,
400 800
x
Transcribed Image Text:Valencia Products make automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where x is the number of LaserStop models produced and y is the number of SpeedBuster models produced. Graph the constraints and identify the feasible region. Then identify each of the corner points and show how increasing the objective function value identifies the optimal solution. Maximize Profit=124x+138y 19x+12y ≤ 3000 6x + 7y ≤2500 x≥0 and y≥0 OB. 800- Ay 800- Q Q 408 406 G 50 65 x 400 800 O C. 800 400 O D. Ay 800- Q 400 800 Identify the vertices of the given feasible region. (0, 0), (0, 250), (157.89, 0) (Type an ordered pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as needed.) The optimal solution is to produce LaserStop models and SpeedBuster models, which gives the (Round to two decimal places as needed.) value of the objective function, 400 800 x
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