Farm Management A farmer has 70 acres of land available for planting either soybeans or

Chapter 4, Problem 1

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Farm Management A farmer has 70 acres of land available for planting either soybeans or wheat. The cost of preparing the soil, the workdays required, and the expected profit per acre planted for each type of crop are given in the following table: Soybeans Wheat Preparation cost per acre $60 $30 Workdays required per acre 3 4 Profit per acre $180 $100 The farmer cannot spend more than $1800 in preparation costs nor use more than a total of 120 workdays. (a) How many acres of each crop should be planted to maximize the profit? (b) What is the maximum profit? (c) What is the maximum profit if the farmer is willing to spend no more than $2400 on preparation?

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