Problema Solution

The profit for a product is given by ​P(x)=-11xsquared+1430x-39,600 where x is the number of units produced and sold. How many units give break even​ (that is, give zero​ profit) for this​ product?

Answer provided by our tutors

P(x)=-11x^2+1430x-39,600

We need to find 'x' such that P(x) = 0, that is:

-11x^2+1430x-39,600 = 0

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click here to see the equation solved for x

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x1 = 90 units

x2 = 40 units

90 units and 40 units break even (give zero profit).