4. Circle K farms consumes 3 tons of special feed daily. The feed-a mixture of limestone, corn, and soybean meal-must satisfy the following nutritional requirements:

Calcium. At least 0.8% but not more than 1.2%.

Protein. At least 22%.

Fiber. At most 5%.

The following table gives the nutritional content of the feed ingredients.

lb per Ib of ingredient Ingredient Limestone Corn Soybean meal Calcium

.380

.001

.002 Protein

.00

.09

.50 Fiber

.00

.02

.08 Formulate the problem as a goal programming model, and state your opinion regarding the applicability of goal programming to this situation.