Problema Solution

The profit made when t units are sold, t > 0, is given by P = t2 - 32t + 255. Determine the number of units to be sold in order for P = 0 (the break- even point).

Answer provided by our tutors

P = t^2 - 32t + 255

We need to find the non-negative solution for the quadratic equation: t^2 - 32t + 255 = 0

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click here to see the equation solved for t

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t1 = 15 units

t2 = 17 units

The break-even point happens for 15 units produced as well as for 17 units produced.