Identify the vertices of the given feasible region. ​(Type an ordered​ pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as​ needed.) Use the vertices obtained to determine the maximum and minimum profit by evaluating the profit​ (or objective) function P = 125x + 138y at each of the vertices. Start with (0,0). Please show your work and any Excel Functions used. Thank you!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Identify the vertices of the given feasible region.

​(Type an ordered​ pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as​ needed.)

Use the vertices obtained to determine the maximum and minimum profit by evaluating the profit​ (or objective) function P = 125x + 138y at each of the vertices. Start with (0,0).

Please show your work and any Excel Functions used. Thank you!

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 = 125x + 138y
Identify the graph of the feasible region. Choose the correct graph below.
Ay
800-
400-
19x + 12y ≤ 3000
6x + 8y ≤ 2500
x ≥0 and y ≥0
400 800
B.
800-
40Q-
y
400
800
Ay
800-
400-
I/O
400
800
Ау
800-
400-
400
800
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 = 125x + 138y Identify the graph of the feasible region. Choose the correct graph below. Ay 800- 400- 19x + 12y ≤ 3000 6x + 8y ≤ 2500 x ≥0 and y ≥0 400 800 B. 800- 40Q- y 400 800 Ay 800- 400- I/O 400 800 Ау 800- 400- 400 800
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