document.write( "Question 820937: (a)the owner of a shop wishes to buy x guitars and y violins.to satisfy the demand of his customers,the number of violins must be less than or equal to the number of guitar.(i)write an inequality to represent this information.the cost of the guitar is $150 and the cost of one violins .tis $300.he has $4500 to spend on the purchase of these instrument.(ii) write an inequality to represent this information \n" ); document.write( "

Algebra.Com's Answer #493784 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
(a) & (i)
\n" ); document.write( " $\"y%3C=x\"$ , directly translated from that condition described.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(ii)
\n" ); document.write( "Attempting cost relationship
\n" ); document.write( "Highest cost allowed is 4500 dollars.
\n" ); document.write( " $\"150x%2B300y%3C=4500\"$
\n" ); document.write( "Reducible to
\n" ); document.write( " $\"x%2B2y%3C=30\"$
\n" ); document.write( "Again, reworded, the cost of the guitars and violins must be less than or equal to 4500 dollars.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You did not say if you want to combine these inequalities for a solution. This can be done easily enough checking on a graph. Plot both equations (the two unique ones; not the unreduced cost one) as their lines, and then test any point in each of the four regions;
\n" ); document.write( "What I mean to say is, graph the system:
\n" ); document.write( " $\"highlight%28x%3C=y%29\"$ and $\"highlight%28x%2B2y%3C=30%29\"$ onto the same coordinate system. The reason that you want to use the REDUCED cost inequality is because it is easier to use. \n" ); document.write( "

\n" );