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 276 118 255 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.
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 276 118 255 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 | 276 | 118 | 255 |
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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