You can
put this solution on YOUR website! You are making holiday wreaths to sell at a craft fair. It takes 1 1/2 hours to make a small wreath and 2 hours to make a large wreath. You have 40 hours available to make wreaths. Your profit for a small wreath is $7 and your profit for a large wreath is $12. What is the Maximum profit you can make?
Let # of small wreaths be "S"
Let # of large wreaths be "L"
S>=0
L>=0
Time to produce S small wreaths = (3/2)S hours.
Time to produce L large wreaths = 2L hours.
INEQUALITIES:
(3/2)S + 2L <=40 hrs.
Profit = 7S + 12L
Graph S>-0, L<=0, S<=(-4/3)L+(80/3)
The vertices are (0,0), (0,20), and (80/3,0)
Check each of these n the Profit equation to see which
gives the maximum Profit.
Using (0,0) you get profit = 0
Using (0,20) you get $240
Using (80/3) you get #173.33
Greatest profit is had when no small and 20 large are made.
Cheers,
Stan H.
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