Your farm encompasses 900 acres, and you are planning to grow soybeans, corn, and wheat in the coming planting season. Fertilizer costs per acre are: $5 for soybeans, $2 for corn, and $1 for wheat. You estimate that each acre of soybeans 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. Based on past yields and current market prices, you estimate a profit of $9,000 for each acre of soybeans, $6,000 for each acre of corn, and $3,000 for each acre of wheat. You can afford to spend no more than $5,400 on fertilizer, and your farm laborers can supply 5,400 hours per week. How many acres of each crop should you plant to maximize total profits

Using solver, the optimal solution = 900 acres of soybean resulting in $8,100,000 profit

Explanation:

you need to maximize 9000S + 6000C + 3000W

where:

S = acres of soybean

C = acres of corn

W = acres of wheat

constraints:

S + C + W ≤ 900

5S + 2C + 1W ≤ 5400

5S + 2C + 2W ≤ 5400

S, C, W ≥ 0

S, C, W are whole numbers

Using solver, the optimal solution = 900 acres of soybean resulting in $8,100,000 profit

fractionally backed paper money

fiat money

paper money

metallic money

the correct answer is - no.

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