A farmer has determined that her cornfield will yield corn (in bushels) according to the
Chapter 4, Problem 13(choose chapter or problem)
A farmer has determined that her cornfield will yield corn (in bushels) according to the formula B(x, y) = 4x 2 + y2 + 600, where x denotes the amount of water (measured in hundreds of gallons) used to irrigate the field and y the number of pounds of fertilizer applied to the field. The fertilizer costs $10 per pound and water costs $15 per hundred gallons. If she can allot $500 to prepare her field through irrigation and fertilization, use a Lagrange multiplier to determine how much water and fertilizer she should purchase in order to maximize her yield.
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