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 first found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. When the linear optimization model below was solved, it was found that the maximum profit was obtained by producing 0 LaserStop models and 307.69 SpeedBuster models for a profit of $42,153.53. Complete parts a through c. Maximize Profit=122 L + 137 S 18 L + 13 S ≤4000 6 L+8 S≤3500 L≥0 and S≥0 a. Modify the data in the model to create a problem with alternative optimal solutions. Choose the correct model below. O A. Maximize Profit=137 L + 137 S 13 L+13 S≤4000 8 L+8 S≤3500 L≥0 and S≥0 (Component A) (Component B) O C. Maximize Profit=122 L + 137 S 18 L + 13 S≥4000 6 L+8 S≥3500 O B. Maximize Profit = 122 L+ 137 S 18 L+ 13 S≤ 4000 6 L+ 8 S≥ 4000 L≥0 and S≥0 O D. Maximize Profit=122 L+ 137 S 13 S≤ 4000 6 L+8 S≤ 3500

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b. Modify the data in the model to create a problem with an unbounded solution. Choose the correct model below.
O A. Maximize Profit= 137 L + 137 S
13 L+13 S≤4000
8 L+8 S≤3500
L≥0 and S≥0
O C. Maximize Profit = 122 L + 137 S
18 L + 13 S≥4000
6 L+8 S≥3500
L≥0 and S≥0
O A. Maximize Profit= 137 L + 137 S
13 L + 13 S ≤4000
8 L+8 S≤3500
L≥0 and S 20
c. Modify the data in the model to create a problem with infeasibility. Choose the correct model below.
O C. Maximize Profit= 122 L + 137 S
18 L + 13 S≥4000
O B. Maximize Profit = 122 L+ 137 S
18 L+ 13 S≤ 4000
6 L+8 S≥ 4000
L≥0 and S≥ 0
6 L + 8 S≥ 3500
L≥0 and S≥0
O D. Maximize Profit = 122 L+ 137 S
13 S≤ 4000
6 L+ 8 S≤ 3500
L≥0 and S≥0
O B. Maximize Profit = 122 L + 137 S
18 L+ 13 S≤ 4000
6 L+ 8 S≥ 4000
L≥0 and S≥0
O D. Maximize Profit = 122 L + 137 S
13 S≤ 4000
6 L+ 8 S≤ 3500
L≥0 and S≥0
Transcribed Image Text:b. Modify the data in the model to create a problem with an unbounded solution. Choose the correct model below. O A. Maximize Profit= 137 L + 137 S 13 L+13 S≤4000 8 L+8 S≤3500 L≥0 and S≥0 O C. Maximize Profit = 122 L + 137 S 18 L + 13 S≥4000 6 L+8 S≥3500 L≥0 and S≥0 O A. Maximize Profit= 137 L + 137 S 13 L + 13 S ≤4000 8 L+8 S≤3500 L≥0 and S 20 c. Modify the data in the model to create a problem with infeasibility. Choose the correct model below. O C. Maximize Profit= 122 L + 137 S 18 L + 13 S≥4000 O B. Maximize Profit = 122 L+ 137 S 18 L+ 13 S≤ 4000 6 L+8 S≥ 4000 L≥0 and S≥ 0 6 L + 8 S≥ 3500 L≥0 and S≥0 O D. Maximize Profit = 122 L+ 137 S 13 S≤ 4000 6 L+ 8 S≤ 3500 L≥0 and S≥0 O B. Maximize Profit = 122 L + 137 S 18 L+ 13 S≤ 4000 6 L+ 8 S≥ 4000 L≥0 and S≥0 O D. Maximize Profit = 122 L + 137 S 13 S≤ 4000 6 L+ 8 S≤ 3500 L≥0 and S≥0
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 first found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the
number of SpeedBuster models produced. When the linear optimization model below was solved, it was found that the maximum profit was obtained by producing 0 LaserStop models
and 307.69 SpeedBuster models for a profit of $42,153.53. Complete parts a through c.
Maximize Profit = 122 L + 137 S
18 L + 13 S ≤4000
6 L +8 S≤3500
L≥0 and S≥0
O A. Maximize Profit= 137 L + 137 S
13 L + 13 S ≤4000
8 L+8 S≤3500
L≥0 and S≥0
(Component A)
(Component B)
a. Modify the data in the model to create a problem with alternative optimal solutions. Choose the correct model below.
O C. Maximize Profit= 122 L + 137 S
18 L + 13 S≥4000
6 L+8 S≥ 3500
L≥0 and S≥0
(…)
O B. Maximize Profit = 122 L + 137 S
18 L+ 13 S≤ 4000
6 L+ 8 S≥ 4000
L≥0 and S≥ 0
O D. Maximize Profit = 122 L+ 137 S
13 S≤ 4000
6 L + 8 S≤ 3500
L≥0 and S≥ 0
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 first found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. When the linear optimization model below was solved, it was found that the maximum profit was obtained by producing 0 LaserStop models and 307.69 SpeedBuster models for a profit of $42,153.53. Complete parts a through c. Maximize Profit = 122 L + 137 S 18 L + 13 S ≤4000 6 L +8 S≤3500 L≥0 and S≥0 O A. Maximize Profit= 137 L + 137 S 13 L + 13 S ≤4000 8 L+8 S≤3500 L≥0 and S≥0 (Component A) (Component B) a. Modify the data in the model to create a problem with alternative optimal solutions. Choose the correct model below. O C. Maximize Profit= 122 L + 137 S 18 L + 13 S≥4000 6 L+8 S≥ 3500 L≥0 and S≥0 (…) O B. Maximize Profit = 122 L + 137 S 18 L+ 13 S≤ 4000 6 L+ 8 S≥ 4000 L≥0 and S≥ 0 O D. Maximize Profit = 122 L+ 137 S 13 S≤ 4000 6 L + 8 S≤ 3500 L≥0 and S≥ 0
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