Question 300669: As a business owner I have to make many decisions on a daily basis to ensure that my company reaches the highest production levels possible with my products. Starting today my company has 34 hours and $350 available per day to produce my Model A and B type bicycles and before they start I need to know how many of each model can be made in a day in production.
• Model A takes 2 hours to assemble and cost $25 per bike to make
• Model B takes 3 hours to assemble and cost $30 per bike to make
(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).
I have been stuck on this for 2 days, I am so lost.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Starting today my company has 34 hours and $350 available per day to produce my Model A and B type bicycles and before they start I need to know how many of each model can be made in a day in production.
• Model A takes 2 hours to assemble and cost $25 per bike to make
• Model B takes 3 hours to assemble and cost $30 per bike to make
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Equation:
Assembly time Eq:: 2A + 3B = 34
Value Equation:: 25A +30B = 350
(Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, and matrix).
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Modify the 1st equation to set it up for elimination of the "B" terms:
20A + 30B = 340
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Substract that from the Value Equation and solve for "A";
5A = 10
A = 2 (# of Model A bikes to make)
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Solve for "B":
2(2) + 3B = 34
3B = 30
B = 10 (# of Model B bikes to make)
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Explain how to check your solution for both equations).
Check your A,B numbers in the time and Value equations.
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Cheers,
Stan H.
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