document.write( "Question 1179765: A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hrs to prep, 2 hrs to paint, and 10 hrs to fire. A tree takes 16 hrs to prep 3 hrs to paint, and 4 hrs to fire. A sleigh takes 4 hrs to prep, 14 hrs to paint, and 7 hrs to fire. If the workshop has 117 hrs for prep, 85 hrs for painting, and 118 hrs for firing, how many of each can be made? I can get the 3 equations and draw the matrix but now I am lost! \n" ); document.write( "
Algebra.Com's Answer #809377 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hrs to prep, 2 hrs to paint, and 10 hrs to fire. A tree takes 16 hrs to prep 3 hrs to paint, and 4 hrs to fire. A sleigh takes 4 hrs to prep, 14 hrs to paint, and 7 hrs to fire. If the workshop has 117 hrs for prep, 85 hrs for painting, and 118 hrs for firing, how many of each can be made? I can get the 3 equations and draw the matrix but now I am lost!\r \n" ); document.write( "\n" ); document.write( " wreaths, trees, and sleighs\r \n" ); document.write( "\n" ); document.write( "prep 3 16 4 = 117 \n" ); document.write( " \n" ); document.write( "paint 2 3 14 = 85\r \n" ); document.write( "\n" ); document.write( "fire 10 4 7= 118\r \n" ); document.write( "\n" ); document.write( "3w+16t+4s=117 \n" ); document.write( "2w+3t+14s=85 \n" ); document.write( "10w+4t+7s=118\r \n" ); document.write( "\n" ); document.write( "w=7,t=5,s=4 \n" ); document.write( " |