An antiquarian has just bought a cupboard at a price of €500. The sales value of the cupboard at this time is €2000. Every year, the sales value of the cupboard increases by €25. The cost to keep the cupboard in stock during t years is €5 x 1.08^t a. Find an equation to express the profit of the antiquarian if he sells the cupboard t years from now. b. After how many years should the antiquarian sell the cupboard so that his profit would be maximal? c. How much is the maximum profit?

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