Help on finding the objective function

[cole92]

I am studying for a test tomorrow over linear programming. I'm doing an example problem that I have done before, but I didn't show all of my work which is making it hard to see what I did. I have the correct equations and I can solve the problem but I have two different Objective Function. I need to know what the real O.F. is. Any help would be appreciated.

The Cookie Factory's best selling items are chocolate chip and peanut butter cookies. They want to sell both types of cookies together in combination packages. The different-sized packages will contain between 6 and 12 cookies, inclusively. At least three of each type of cookie should be in each package. The cost of making a choc. chip cookie is $0.19, and the selling price is $0.44 each. The cost of making a peanut butter cookie is $0.13, and the selling price is $0.39. How many of each type of cookie should be in each package to maximize the profit?

My equations are (and I'm sorry that I cannot type the correct math symbols but <=, >= are less than or equal to/greater than or equal to):

c is choc chip cookies
p is peanut butter cookies

c >= 3
p >= 3
c + p <= 12
c + p >= 6

Now can anyone help me get the correct obj. function? I believe it is MAX 25c + 26p but I'm not 100%.

THANKS TO ANYONE WHO CAN HELP!
-Cole

 

[skeeter]

correct ...

profit = revenue - cost = (.26)p + (.25)c

 

[cole92]

Great! Thanks a bunch. I guess I did it wrong a while back when I was in a rush and didn't catch it. Okay, well I feel better about it now. Thanks again for the help.