Mrs. XYZ cultivates sorghum and wheat on a farm with an area of 570 hectares that is suitable for cultivation. Her expected yield is 3.3 tons per hectare for sorghum and 2.3 tons per hectare for wheat. The expected prices are R 3 450 per ton for sorghum and R 2 800 per ton for wheat. Fixed costs are R 325 000. He estimates input costs of R 2 750 per ton for sorghum and R 3 050 per ton for wheat. Consider the information for Mr XYZ’s farm to determine the minimum cultivated area he needs for his gross income to break even with his total cost.

Valeria operates a cattle farm.

A farmer in Wood County has 900 acres of land. She is going to plant each acre with com. soybeans, or wheat. Each acre planted with corn yields a $2,000 profit; each with soybeans yields $2,500 profit; and each with wheat yields $3,000 profit. She has 100 workers and 150 tons of fertilizer. The following table shows the requirement per acre of each of the crops. Assuming a linear relationship, use Excel Solver to determine the optimal planting mix of corn, soybeans, and wheat to maximize her profits. Com Soybeans Wheat Labor Fertilizer 01 0.3 0.2 0.2 0.1 04

Sandhill, Inc. produces a crop of chickens at a total cost of $78,800. The production generates 72.000 chickens which can be sold for $2 each to a slaughtering company, or the chickens can be slaughtered in house and then sold for $3.75 each. It costs $78,000 more to turn the annual chicken crop into chicken meat. (a) If Sandhill slaughters the chickens, determine how much incremental profit or loss it would report.