SOLUTION: Judy makes banana bread and nut bread to sell at a bazaar. A loaf of banana bread requires 2 cups of flour and 2 eggs. A loaf of nut bread takes 3 cups of flour and 1 egg. Judy
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Question 926797: Judy makes banana bread and nut bread to sell at a bazaar. A loaf of banana bread requires 2 cups of flour and 2 eggs. A loaf of nut bread takes 3 cups of flour and 1 egg. Judy has 12 cups of flour and 8 eggs on hand. She makes $2 profit per loaf of banana bread and $2 per loaf of nut bread. To maximize profits, how many loaves of each type should she bake? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = number of loaves of
banana bread she should make
Let = number of loaves of
nut bread she should make
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Let = profit
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Equation for flour used:
Equation for eggs used:
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Plot the constraints ( limits on flour and eggs )
and
The possible vertex solutions look like:
( 0,4 )
and
( 4,0 )
and
( 3,2 )
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It looks like she should make 3
loaves of banana bread
and 2 loaves of nut bread
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check:
suppose she made 2 loaves of banana bread
and 3 loaves of nut bread ( 2,3 ) ( same profit )
but not true
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suppose she made 4 loaves of banana bread
and 1 loaf of nut bread ( 4,1 ) ( same profit )
but: OK
but not true
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Hope this helps
