The corn yield on a certain farm is Y = 0.118x2 + 8.5x + 12.9 (bushels per acre) where x
Chapter 4, Problem 60(choose chapter or problem)
The corn yield on a certain farm is Y = 0.118x2 + 8.5x + 12.9 (bushels per acre) where x is the number of corn plants per acre (in thousands). Assume that corn seed costs $1.25 (per thousand seeds) and that corn can be sold for $1.50/bushel. Let P (x) be the profit (revenue minus the cost of seeds) at planting level x. (a) Compute P (x0) for the value x0 that maximizes yield Y . (b) Find the maximum value of P (x). Does maximum yield lead to maximum profit?
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