A bicycle manufacturer makes two models of bikes, a professional racing bike and a mountain bike. Profits average P1500 per mountain bike and P1200 per racing bike. Maximum total production possible is 1440 bikes per month. Consumer demand for the racing bike is no more than half the demand for the mountain bike. At least 400 mountain bikes per month must be made to satisfy a long term contract. How many of each bike should be made to maximize profit. What is the maximum profit?

Q: What number of items must be produced and sold to obtain the maximum profit?

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