The Ozark Farm has 20,000 broilers that are fed for 8 weeks before being marketed.

The weekly feed per broiler varies according to the following schedule:

Week 1 2 3 4 5 6 7 8 lb/broiler .26 .48 .75 1.00 1.30 1.60 1.90 2.10 For the broiler to reach a desired weight gain in 8 weeks, the feedstuffs must satisfy specific nutritional needs. Although a typical list of feedstuffs is large, for simplicity we will limit the model to three items only: limestone, corn, and soybean meal. The nutritional needs will also be limited to three types: calcium, protein, and fiber. The following table summarizes the nutritive content of the selected ingredients together with the cost data.

Content (lb) per lb of Ingredient Calcium Protein Fiber $ per lb Limestone .380 .00 .00 .12 Corn .001 .09 .02 .45 Soybean meal .002 .50 .08 1.60 The feed mix must contain at least .8% but not more than 1.2% calcium, at least 22%

protein, and at most 5% crude fiber.

Solve the LP for week 1 and then use post-optimal analysis to develop an optimal schedule for the remaining 7 weeks.