<PRE><B>Question 1204604</B>
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&lt;=16

He has 15 cups of flour

flour constraints
3x+3y&lt;=15

Plot the graph
*[illustration cookies.png].
 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
















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