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Mr. Krabs, a stingy businessman who always seizes the most out of every opportunity available to make a profit, has recently noticed the increased popularity of his most loyal and passionate employee, SpongeBob SquarePants. Sea creatures are lining up in order to taste the Krabby Patty cooked by Mr. SquarePants and some are even willing to pay extra dollars just to have the food served to them directly. Upon seeing this marvellous opportunity, Mr. Krabs quickly does a mental calculation and finds out several facts:

  1. Customers who are already satisfied with the service of Mr. Squidward Tentacles have a demand function of: Q = 4000 − 1000P

  2. Customers who are eager to request a special service by Mr. SquarePants have a demand function of: Q = 1/3(3200 − 400P)

  3. The monthly total cost of running Krusty Krab follows a function of: TC = 250 + 2Q, where Q is the total patties sold to both types of customers.

Given these circumstances, Mr. Krabs then dials your number, a bright economist's who is keen to give a free consultation, to ask a very important question, "What is the maximum profit I could possibly attain this month?"

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