SOLUTION: A baker has 16 eggs and 15 cups of flour. One batch of chocolate chip cookies requires 4 eggs and 3 cups of flour. One batch of oatmeal raisin cookies requires 2 eggs and 3 cups of
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Question 1204604: A baker has 16 eggs and 15 cups of flour. One batch of chocolate chip cookies requires 4 eggs and 3 cups of flour. One batch of oatmeal raisin cookies requires 2 eggs and 3 cups of flour. The baker makes $3 profit for each batch of chocolate chip cookies and $2 profit for each batch of oatmeal raisin cookies. How many batches of each cookie should she make to maximize profit? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! A baker has 16 eggs and 15 cups of flour. One batch of chocolate chip cookies requires 4 eggs and 3 cups of flour. One batch of oatmeal raisin cookies requires 2 eggs and 3 cups of flour. The baker makes $3 profit for each batch of chocolate chip cookies and $2 profit for each batch of oatmeal raisin cookies. How many batches of each cookie should she make to maximize profit?
x as the number of batches of chocolate chip cookies and
y as the number of batches of oatmeal raisin cookies.
Egg constraints He has 16 eggs
4x+2y<=16
He has 15 cups of flour
flour constraints
3x+3y<=15
Plot the graph .
the corner points of the feasible region are:
(0,5),(3,2),(4,0)
Plug the points to find the maximum profit
P = 3x+2y
Point(3,2) gives maximum profit of $13
When the baker makes 3 batches of chocolate chip cookies and 2 batches of oatmeal raisin cookies profit is maximum
.