SOLUTION: furniture shop refinishes cabinets. Employees use two methods to refinish cabinets. Method I takes 1.5 hours and the material costs $9. Method II takes 2.5 hours, and the material

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Question 1063870: furniture shop refinishes cabinets. Employees use two methods to refinish cabinets. Method I takes 1.5 hours and the material costs $9. Method II takes 2.5 hours, and the material costs $5. Next week, they plan to spend 252 hours in labor and $972 in material for refinishing cabinets. How many cabinets should they plan to refinish with each method?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the number of Method 1 cabinets made, Y Method 2 cabinets.
Total hours,
1.5X%2B2.5Y%3C=252
Total cost,
9X%2B5Y%3C=972
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Plotting the regions,
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I'm assuming you want to maximize the number of cabinets made(?).
N=X%2BY
N=78%2B54
N=132