document.write( "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.
\n" ); document.write( "• Model A takes 2 hours to assemble and cost $25 per bike to make
\n" ); document.write( "• Model B takes 3 hours to assemble and cost $30 per bike to make\r
\n" ); document.write( "\n" ); document.write( "(Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, and matrix).
\n" ); document.write( "Explain how to check your solution for both equations).
\n" ); document.write( "I have been stuck on this for 2 days, I am so lost.
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Algebra.Com's Answer #215689 by stanbon(75887)\"\" \"About 
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.
\n" ); document.write( "• Model A takes 2 hours to assemble and cost $25 per bike to make
\n" ); document.write( "• Model B takes 3 hours to assemble and cost $30 per bike to make
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\n" ); document.write( "Equation:
\n" ); document.write( "Assembly time Eq:: 2A + 3B = 34
\n" ); document.write( "Value Equation:: 25A +30B = 350
\n" ); document.write( "(Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, and matrix).
\n" ); document.write( "---
\n" ); document.write( "Modify the 1st equation to set it up for elimination of the \"B\" terms:
\n" ); document.write( "20A + 30B = 340
\n" ); document.write( "---
\n" ); document.write( "Substract that from the Value Equation and solve for \"A\";
\n" ); document.write( "5A = 10
\n" ); document.write( "A = 2 (# of Model A bikes to make)
\n" ); document.write( "---
\n" ); document.write( "Solve for \"B\":
\n" ); document.write( "2(2) + 3B = 34
\n" ); document.write( "3B = 30
\n" ); document.write( "B = 10 (# of Model B bikes to make)
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\n" ); document.write( "Explain how to check your solution for both equations).
\n" ); document.write( "Check your A,B numbers in the time and Value equations.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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