Planting Crops A farmer is considering two plans of crop rotation on his 100-acre farm.
Plan A: Plant tomatoes every season.
Plan B: Alternate between soybeans and tomatoes each season.
The revenue from tomatoes is $1600 an acre, and the revenue from soybeans is $1200 an acre. Tomatoes require fertilizing the land, which costs about $300 an acre. Soybeans do not require fertilizer; moreover, they add nitrogen to the soil so tomatoes can be planted the following season without fertilizing.
(a) Find a formula for the profit if Plan A is used for n years.
(b) Find a formula for the profit if Plan B is used for 2n years (starting with soybeans).
(c) If the farmer intends to plant these crops for 10 years, which plan is more profitable?
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College Algebra
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