document.write( "Question 1165663: An agent is to purchase two products, G and H, and send them to the company's warehouse. He has a budget of $70,000 and truck space of 9,000 cubic meters. The product costs and sizes are as follows:
\n" ); document.write( "Cost per case for G is $10 while H is $20.
\n" ); document.write( "Volume per Case for G is 3m^3 while for H is 2m^3.
\n" ); document.write( "How much of each product should be purchased if both the budget and space are to be used up?
\n" ); document.write( "

Algebra.Com's Answer #790183 by ankor@dixie-net.com(22740)\"\" \"About 
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n agent is to purchase two products, G and H, and send them to the company's warehouse.
\n" ); document.write( "He has a budget of $70,000 and truck space of 9,000 cubic meters.
\n" ); document.write( " The product costs and sizes are as follows:
\n" ); document.write( " Cost per case for G is $10 while H is $20.
\n" ); document.write( " Volume per Case for G is 3m^3 while for H is 2m^3.
\n" ); document.write( "How much of each product should be purchased if both the budget and space are to be used up?
\n" ); document.write( ":
\n" ); document.write( "10g + 20h = 70000, cost equation
\n" ); document.write( "3g + 2h = 9000, space equation
\n" ); document.write( ":
\n" ); document.write( "multiply the 2nd equation by 10, subtract the 1st equation
\n" ); document.write( "30g + 20h = 90000
\n" ); document.write( "10g + 20h = 70000
\n" ); document.write( "-------------------subtraction eliminates h, find g
\n" ); document.write( "20g = 20000
\n" ); document.write( "g = 1000 ea of product G
\n" ); document.write( ":
\n" ); document.write( "and using the 2nd original equation
\n" ); document.write( "3(1000) + 2h = 9000
\n" ); document.write( "3000 + 2h = 9000
\n" ); document.write( "2h = 9000 - 3000
\n" ); document.write( "2h = 6000
\n" ); document.write( "h = 6000/2
\n" ); document.write( "h = 3000 ea of product H
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 1st equation
\n" ); document.write( "10(1000) + 20(3000) =
\n" ); document.write( "10000 + 60000 = 70000\r
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