Mr. Cruz has 500 acres of land in which he intends to plant 2 crops corn and wheat. It cost 120 per acre to produce corn and P210 per acre to produce wheat and there is P 15,000 available to this production. The yields per acre are 120 bushels of corn and 210 bushels of wheat and the farmer has contracted 15,000 bushels. How much should the farmer plant to maximize the profit when the net profit is 1.30 per bushel for corn and 2 per bushel for wheat?

You have a wire of length 2 m, which you can bend either into a square or a circle. You also have the option to cut the wire into two pieces, then bend one piece into a square and the other piece into a circle. If you want to maximize the total area enclosed by your wire, what should you do? In other words, should you cut the wire? How much wire should be devoted to each shape?

Amazon can sell 20,000 copies of a new book for 16 per book. For each 1 reduction in price Amazon can sell 2,000 more copies what price should Amazon sell the new book to maximize its revenue ?