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MathNet 1999 — Part 01 Question 53

Math Olympiad Vault · MathNet 1999 — Part 01

Question 53

A company produces 300 mountain bikes weekly, which it sells entirely at a price of 600 euros each. After a market analysis, he observes that if the price varies, his sales also vary (continuously) according to the following proportion: for every 7 euros that the price of his bicycles increases or decreases, the sale decreases or increases by 3 units.


a) Can you increase the price and get more revenue?

b) At what price will the income be maximum?