According to a model developed by economists E. Heady and J. Pesek, if fertilizer made from N pounds of nitrogen and P pounds of phosphate is used on an acre of farmland, then the yield of corn (in bushels per acre) is Y=7.5+0.6N+0.7P−0.001N² −0.002P² +0.001NP A farmer intends to spend $160 per acre on fertilizer. If nitrogen costs 25 cents/lb and phosphate costs 20 cents/lb, which combination of N and P produces the highest yield of corn? (Give your answers to two decimal places.)
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