Help with linear programming

[twistamojo]

I have this math problem that is really giving me trouble.

For this problem i have to:

A) identify and define the variables
B) Identify the constraints, and translate them into a system of inequalities relating the variables
C) Graph the system of inequalities; find the verticies of the feasible set
D) Write a formula or an expression to be maximized or minimized
E) Apply the linear-porgramming theorem to find the maximum or minimum
F) Interpret your results in a few complete sentences.

Here is the problem:

Jeano's candy factory packages bags of mixed nuts. Jeano has 75 pounds of cashews and 120 pounds of peanuts. They will be mixed in 1 lb packages in the following ways: A lower grade mixture that contains 8 ounces of cashews and 8 ounces of peanuts. A profit of $0.35 per package can be made on the lower grade mixture, and a profit of $0.55 per package can be made on the higher grade mixture. How many packages of each mixture should Jeano make to obtain maximum profit.

I have to graph my results on a graph and this problem is due in less than two hours! someone please help me!