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 a company has a total of 34 hours

Algebra ->  Linear-equations -> 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 a company has a total of 34 hours       Log On


   



Question 330017: 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 a company has a total of 34 hours and $350 available per day for those two models, how many of each models can be made in a day?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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 a company has a total of 34 hours and $350 available per day for those two models, how many of each models can be made in a day?
Let A be the number of Model A's and B be the number of model B's.
1.2A%2B3B%3C=34
25A%2B30B%3C=350
5A%2B6B%3C=70
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Let A be represented by the x axis and B by the y axis.
Plot the line, B=%2834-2A%29%2F3 and plot the line 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