You have a nice place in a rural setting with a little kitchen and a few cows out in the back. You figure you can make $4.5 profit per cake (C) that you can bake or $3 profit per dozen cookies (D) you make. The main constraints for you are that you can only use the oven in the kitchen nine hours per day (and the oven will only fit one cake or one dozen cookies at one time), and you can only have 10 pounds of butter per day. Each cake takes 45 minutes to bake and requires one half pound of butter. A dozen cookies require 30 minutes in the oven and one pound of butter. You will want to think about a graph that has cakes on the horizontal axis and dozens of cookies on the vertical axis. Your objective is to maximize profit from cakes and dozens of cookies per day

.a What are the corners of the feasible region if you graphed this out on paper?

b What is the profit generated at each of the corners of the feasible region?

c State which corner(s) of the feasible region is the optimal solution and what is the value of profit at that point(s).

D use Excel to generate the solution. Include the Answer and Sensitivity Reports. Attach as part of your answer.

E Are there alternative optimal solutions here? Why or why not?