document.write( "Question 1189926: Given:
\n" ); document.write( "Room1 : length=4m : width=3m
\n" ); document.write( "Room2 : length=6m : width=4m
\n" ); document.write( "Tiles:
\n" ); document.write( "Glossy1 : 0.5m x 0.5m cost $8/tile
\n" ); document.write( "Glossy2 : 1m x 1m cost $10/tile
\n" ); document.write( "Non glossy1: 0.5m x 0.5m cost $5/tile
\n" ); document.write( "Non glossy2: 1m x 1m cost $7/tile
\n" ); document.write( "How to formulate 2 quadratic inequalities involving the dimensions of the floor of the rooms and the measure and costs of the tiles. Then graph the solution sets of these inequalities.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #849278 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Given:
\n" ); document.write( "Room1 : length=4m : width=3m
\n" ); document.write( "Room2 : length=6m : width=4m
\n" ); document.write( "Tiles:
\n" ); document.write( "Glossy1 : 0.5m x 0.5m cost $8/tile
\n" ); document.write( "Glossy2 : 1m x 1m cost $10/tile
\n" ); document.write( "Non glossy1: 0.5m x 0.5m cost $5/tile
\n" ); document.write( "Non glossy2: 1m x 1m cost $7/tile
\n" ); document.write( "How to formulate 2 quadratic inequalities involving the dimensions of the floor of the rooms
\n" ); document.write( "and the measure and costs of the tiles. Then graph the solution sets of these inequalities.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        Unfortunately,  this problem does not state,  what is the goal of this exercise.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "I will suppose that the goal is to find the most cheaper cover of the floor in two rooms.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Comparing the cost of 4 Glossy1 (0.5m x 0.5m at $8) against 1 Glossy2 (1m x 1m at $10),\r\n" );
document.write( "we see that 1 Glossy2 is cheaper for one (and for each) square meter.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Comparing the cost of 4 non-glossy1 (0.5m x 0.5m at $5) against 1 non-glossy2 (1m x 1m at $7),\r\n" );
document.write( "we see that 1 non-glossy2 is cheaper for one (and for each) square meter.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Comparing the cost of 1 Glossy2 (1m x 1m at $10) against 1 non-glossy2 (1m x 1m at $7),\r\n" );
document.write( "we see that 1 non-glossy2 is cheaper for one (and for each) square meter.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the cheapest option for all cases and from the point of view of different combinations, \r\n" );
document.write( "is the choice of non-glossy2 (1m x 1m at $7).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It gives the total cost for the total area of the two rooms  (4*3 + 6*4)*7 = 252 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The cheapest cover for the two room is non-glossy2 (1m x 1m at $7),\r\n" );
document.write( "          giving the total cost of 252 dollars.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved mentally.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In my view, my interpretation, my approach and my solution transform this
\n" ); document.write( "(originally non-sensical) problem in something that makes sense.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );