We are trying to create a new feed for a catfish breeding business. The new feed is a mix of corn, fishmeal, soymeal, ricebran, and limestone. Detailed information is given below:

Feed Ingredient Analysis

Ingredient	Cost, $/pound	Protein, %	Digestible energy (DE), MCal/pound	Calcium, %
Corn	1.15	9	0.50	0.02
Fishmeal	4.0	65	1.8	3.7
Soymeal	3.0	44	1.2	0.3
Ricebran	1.0	12	1.8	0.1
Limestone	0.20	0	0	38.0

For example, the ingredient corn costs $1.15 per pound, has 9% protein by weight, has 0.5 MCal of DE per pound, and has 0.02% calcium by weight.

The mix should follow these guidelines:

1. We need 250 pounds of the mix

2. Total protein content must be at least 30% of the weight

3. Total digestible energy of the mix should be at least 250 MCal

4. Total calcium in the mix should be between 1.2 pounds and 4 pounds

5. At least 20 pounds of fishmeal should be used for the feed

6. No more than 50 pounds of ricebran should be used for the feed

The task is to find the minimum cost mix for the catfish feed. Find the solution using linear optimization, and write down the cost obtained.

{Hint: Let C, F, S, R, and L be the pounds of each of the ingredients in the mix.

1. C + F + S + R + L >= 250

etc.}