The fixed cost of producing a certain product in a factory is 20 million yuan, and the cost increases by 100000 yuan for each unit of product. We also know that the total revenue K is a function of the number of unit products Q, and K (q) = 40q-120q2, then the maximum value of total profit L (q) is______ ．

∵ for each unit of production, the cost increases by 100000 yuan, ∵ the total cost per unit of production q is 20 + 10q million yuan ∵ K (q) = 40q-120q2, ∵ profit L (q) = 40q-120q2-10q-2000 = - 120q2 + 30q-2000 = - 120 (Q-300) 2 + 2500 ∵ when q = 300, the maximum profit L (q) is 25 million yuan

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