Question 198192
A factory makes two types of liquid cleaners. It takes 4 hours of labor to make a ton of their cleaner "c" and 6 hours of labor to make a ton of extra strength cleaner "e". The company can only afford to pay for 480 hours of labor.
a. Write and graph a linear inequality whose solution set is all the possible combinations of the two types of cleaning solutions that the company can make without going over 480 hours of labor costs.  480=4c+6e
{{{ graph( 300, 200, -160, 160, -160, 160, 120-1.5x) }}}
b. If the company produces 75 tons of their regular strength cleaner, what is the most extra strength cleaner they can make? 
{{{480=4(75)+6e}}}
{{{480=300+6e}}}
{{{180=6e}}}
{{{e=30}}}
30 Tons
c. If the company chooses to make 40 tons of extra strength cleanerwill they be able to produce 70 tons of the regular strength? Explain why or why not.
{{{480>?4(70)+6(40)}}}
{{{480>?280+240}}}
{{{480<520}}}
NO!