Given a certain amount of land potentially devoted to farming, one will first use the more fertile regions where production costs are lowest before using the less fertile regions. The consequence of this logical strategy is that the production costs increase as production increases. A certain landowner has enough land to produce 10⁶ bushels of a particular crop, and the production costs, c, of the n^th bushel is described with the equation . If the market price is p for this particular crop, the profit for producing the n^th bushel is . If p = $5.50, how much total profit could the farmer expect to obtain by producing bushels. A) $668,400 B) $444,300 C) $600,000 D) $531,600

Question

Quizplus · Accepted Answer

The Answer of Given a certain amount of land potentially devoted to farming, one will first use the more fertile regions where production costs are lowest before using the less fertile regions. The consequence of this logical strategy is that the production costs increase as production increases. A certain landowner has enough land to produce 10⁶ bushels of a particular crop, and the production costs, c, of the n^th bushel is described with the equation . If the market price is p for this particular crop, the profit for producing the n^th bushel is . If p = $5.50, how much total profit could the farmer expect to obtain by producing bushels. A) $668,400 B) $444,300 C) $600,000 D) $531,600

Given a Certain Amount of Land Potentially Devoted to Farming