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:
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document.write( "Cost per case for G is $10 while H is $20.
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document.write( "Volume per Case for G is 3m^3 while for H is 2m^3.
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document.write( "How much of each product should be purchased if both the budget and space are to be used up? \n" );
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Algebra.Com's Answer #790183 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |