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Benoît has a home business selling antique watches. If he sells x watches, in thousands, his profit, P, in thousands of dollars, is given by

P=−50x^2 + 550x − 900

Determine Benoît’s break-even points

Determine his maximum profit and how many antique watches he must sell to achieve this profit.

Respuesta :

The number of watches that just be sold is 90 and the profit is -356400.

How to calculate the profit?

From the information given, the equation is given as:

P = −50x² + 550x − 900

P = -5x² + 55x - 90

= -5x² + 45x + 10x - 90

= -5x(x - 9) + 10(x - 9)

= (-5x + 10)(x - 9)

x - 9 = 0

x = 0 + 9 = 9

The watches that must be sold will be (9 × 10) = 90

The profit will be:

P = −50x² + 550x − 900

P = -50(90)² + 550(90) - 900

P = -405000 + 49500 - 900

P = -356400

Learn more about profit on:

brainly.com/question/1078746

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