Textbook Problem

Agriculture Your farm encompasses 500 acre, and you are planning 10 grow soybean, corn, and wheat in the coming planting season. Fertilizer costs per acre are 5 for soybean $2 for corn, and $1 for wheat. You estimate that each acre of soybean will require an average of 5 hours of labor per week, while tending to corn and wheat will each require an average of 2 hours per week. On the basis of past yields and current market price, you estimate a profit of 3,000 for each acre of soybeans, 2,000 for each acre of corn, and $1,000 for each acre of wheat. You can afford 10 spend no more than 3,000 on fertilizer, and your farm laborers can supply 3,000 hours per week. How many acres of each crop should you plant 10 maximize total profits? In this event, will you be using all the available labor?