document.write( "Question 254511: Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $45 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $12360? \n" ); document.write( "
Algebra.Com's Answer #186890 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Snookers lumber can convert logs into either lumber or plywood. \n" ); document.write( " In a given day, the mill turns out twice as many units of plywood as lumber. \n" ); document.write( " It makes a profit of $30 on a unit of lumber and $45 on a unit of plywood. \n" ); document.write( " How many of each unit must be produced and sold in order to make a profit of $12360? \n" ); document.write( ": \n" ); document.write( "Let x = units of lumber produced \n" ); document.write( "It states that,\"the mill turns out twice as many units of plywood as lumber\" therefore: \n" ); document.write( "2x = units of plywood \n" ); document.write( ": \n" ); document.write( "Profit equation: \n" ); document.write( "\"a profit of $30 on a unit of lumber and $45 on a unit of plywood.\" \n" ); document.write( "30x + 45(2x) = 12360 \n" ); document.write( "30x + 90x = 12360 \n" ); document.write( "120x = 12360 \n" ); document.write( "x = \n" ); document.write( "x = 103 units of lumber \n" ); document.write( "then \n" ); document.write( "2(103) = 206 units of plywood \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Confirm this \n" ); document.write( "30(103) + 45(206) = \n" ); document.write( "3090 + 9270 = 12360 \n" ); document.write( ": \n" ); document.write( "That's pretty easy, right? \n" ); document.write( " |