A hospital dietician wishes to prepare a corn squash vegetable dish that will provide at least 3 grams of protein and cost no more than $.35 per serving. An ounce of cream corn provides 1/2 gram of protein and costs $.04. An ounce of squash supplies 1/4 gram of protein and costs $.03. For taste, there must be at least 2 ounces of corn and at least as much squash as corn. It is important to keep the total number of ounces in a serving as small as possible. Find the combination if corn and squash that will minimize the amount of ingredients used per serving.

Question

mathmate · Answer

@JustinDorsette 
An interesting problem.
What do you have so far?

justindorsette · Answer

@mathmate sadly, I have nothing. I wasn't sure how to even start this problem, which is why I came here

mathmate · Answer

It is much easier that it looks.
Start with a solution in the feasible region, and try to make modification to improve your solution.
If you have learned graphic techniques, use them, otherwise you can solve by trial and error.
If you start with something feasible (i.e. satisfies all given conditions), I can help you improve the solution.