Question 1052614
Let x be the number of gallons of A made and y be the number of gallons of B made.
Look at the units of yellow dye used for one gallon of A and B,
{{{4x+y<=32}}}
Look at the units of green dye used,
{{{x+6y<=54}}}
Plot those lines and look at the values of the feasible region.
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*[illustration dfc25.JPG].
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(0,9):{{{N=0+9=9}}}
(6,8):{{{N=6+8=14}}}<--- Maximum number of gallons
(8,0):{{{N=8+0=8}}}