A custom guitar shop sells two types of guitars: electric and acoustic. The creation process of each guitar is broken into three parts: building the base guitar, applying the finish/paint, and adding accessories. The time requirements (in days) and the total days available for each phase of the creation process are shown in the below.   Base guitar creation Applying the finish/paint Adding accessories Electric 6 2 2 Acoustic 4 2 5 Total days 660 250 480 If they profit $500 from each electric guitar and $400 from each acoustic guitar, how many of each guitar type should be made to maximize the shop's profit? What is the shop's maximum profit (in dollars)? The maximum profit is $  when  electric guitars and  acoustic guitars are made. Determine if the shop has any leftover time (in days) for each task, entering 0 if no time is leftover. There are  days leftover for building base guitars,  days leftover for applying finish/paint, and  days leftover for adding accessories.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A custom guitar shop sells two types of guitars: electric and acoustic. The creation process of each guitar is broken into three parts: building the base guitar, applying the finish/paint, and adding accessories. The time requirements (in days) and the total days available for each phase of the creation process are shown in the below.
  Base guitar
creation
Applying the
finish/paint
Adding
accessories
Electric 6 2 2
Acoustic 4 2 5
Total days 660 250 480
If they profit $500 from each electric guitar and $400 from each acoustic guitar, how many of each guitar type should be made to maximize the shop's profit? What is the shop's maximum profit (in dollars)?
The maximum profit is $  when  electric guitars and  acoustic guitars are made.
Determine if the shop has any leftover time (in days) for each task, entering 0 if no time is leftover.
There are  days leftover for building base guitars,  days leftover for applying finish/paint, and  days leftover for adding accessories.
 
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