SOLUTION: •Model A takes 2 hours to assemble. •Model B takes 3 hours to assemble. •Model A costs $25 to make per bike. •Model B costs $30 to make per bike. If your company has a total o

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: •Model A takes 2 hours to assemble. •Model B takes 3 hours to assemble. •Model A costs $25 to make per bike. •Model B costs $30 to make per bike. If your company has a total o      Log On

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Question 330597: •Model A takes 2 hours to assemble.
•Model B takes 3 hours to assemble.
•Model A costs $25 to make per bike.
•Model B costs $30 to make per bike.
If your company has a total of 34 hours and $350 available per day for these two models, how many of each model can be made in a day?
•Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, and matrix).
•Explain how to check your solution for both equations.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Previously answered.
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Let A be the number of Model A's and B be the number of model B's.
Time Available
1.2A%2B3B%3C=34
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Money available
25A%2B30B%3C=350
2.5A%2B6B%3C=70
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Let A be represented by the x axis and B by the y axis.
Plot line 1, B=%2834-2A%29%2F3 and plot line 2,B=%2870-5A%29%2F6 and find the intersection point when
%2834-2A%29%2F3=%2870-5A%29%2F6
68-4A=70-5A
A=2 and B=10
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The company could assemble any combination of A and B within the blue box with vertices:(0,0),(0,34/3),(2,10),(14,0).
As an example, A=4, B=6 would work. However they would have hours and money left over.
If they want to use exactly $350 and 34 hours, then the only solution is A=2, B=10