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

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
--------------------------
Let = profit

------------------
Equation for flour used:

Equation for eggs used:

-----------------
Plot the constraints ( limits on flour and eggs )

and

The possible vertex solutions look like:
( 0,4 )

and
( 4,0 )

and
( 3,2 )

------------------
It looks like she should make 3
loaves of banana bread
and 2 loaves of nut bread
-----------------------
-----------------------
check:
suppose she made 2 loaves of banana bread
and 3 loaves of nut bread ( 2,3 )

( same profit )
but

not true
-----------------------
suppose she made 4 loaves of banana bread
and 1 loaf of nut bread ( 4,1 )

( same profit )
but:

OK
but

not true
---------------------------
Hope this helps

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