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Valencia Products make automobile radar detectors and assembles two? models: LaserStop and SpeedBuster. Both models use the same electronic components. For the next? month, the supply of these is limited to 5,000 of component A and 4,500 of component B. The number of each component required for each? product, the profit per? unit, and the resulting linear optimization model are given in the accompanying tables. Complete parts a through? d, answering each question independently relative to the original problem.
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Components? Required/Unit |
||||
|
A |
B |
?Profit/Unit |
||
|---|---|---|---|---|
|
LaserStop |
1919 |
55 |
125125 |
|
|
Speedbuster |
1212 |
88 |
137137 |
|
After reviewing the components required and the profit for each? model, the firm 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.
|
Maximize Profit |
= |
125L+137S |
|
|
19 L+12 S=5,000 |
?(Component A) |
||
|
55 L+88 Sless than or equal to 4,500 |
?(Component B) |
||
|
L=0 and S=0 |
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