A) You should make 4 loaf of Irish soda bread and 2 Kugelhopf cake to maximize the profit.
B) The maximum profit is $14.
<u><em>Explanation</em></u>
Suppose, you should make loaf of Irish Soda Bread and loaf of Kugelhopf cake.
A loaf of Irish soda bread is made with 2 c flour and 1/4 c sugar. So, the amount of flour in loaf of bread is c and the amount of sugar is c.
Kngelhopf cake is made with 4 c flour and 1 c sugar. So, the amount of flour in loaf of bread is c and the amount of sugar is c.
You have total 16 c flour and 3 c sugar. So, <u>the constraints will be</u>.......
You will make a profit of $1.50 on each loaf of Irish Soda Bread and a profit of $4 on each Kugelhopf cake. So,<u> the profit function </u>will be:
If we graph the above constraints, then the vertices of the common shaded region will be: and <em>(Please refer to the below image for the graph)</em>
For ,
For ,
For ,
For ,
<u>So, the profit will be maximum, when</u> and
Thus, you should make 4 loaf of Irish soda bread and 2 Kugelhopf cake to maximize the profit.
The maximum profit will be $14