Thread: Linear Programming Word Problem; system of inequalities

A hospital dietician wishes. To prepare a corn-squash vegetable dish that will provide at least 3 grams of protein and cost no more that .36 per serving. And 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 of corrn and squash that will minimize the amount of ingrediants used per serving. I am horrible at word problems and I've been trying to get the hang of it, please help.

Let "C" be the number of oz of creamed corn and "S" be the number of oz of squash, per serving.

"ounce of cream corn provides 1/2 gram of protein" and "An ounce of squash supplies 1/4 gram of protein" so C oz of corn and S oz of squash provide C/2+ S/4 grams of protein.
"provide at least 3 grams of protein" so you must have

And ounce of cream corn costs .04" and "An ounce of squash costs .03" so C oz of corn and S oz of squash cost .04C+ .03S.
"cost no more that .36 per serving" so you must have .

"For taste, there must be at least 2 ounces of corn and at least as much squash as corn." so and .

"minimize the amount of ingrediants used per serving"
Minimize C+ S.

Thank you! That's what I thought. What equation do I use to find the min and max values?

Oh, nevermind! I got it (: