Problema Solution
A laundry owner's estimate of her weekly profits, p, in dollars, is given by the equation p=-4w^2+160w, where w represents the number of workers she hires. What is the number of workers should she hire in order to earn the greatest profit?(grid is optional)
Answer provided by our tutors
we need to find the value for w so that the function p=-4w^2+160w has maximum
p=-4w^2+160w has maximum
p max = c - (b^2)/(4a)
p max = - 160^2/(4*(-4))
p max = $1600
we will find w by solving the quadratic equation
-4w^2+160w = 1600
by solving we find
w = 20 workers
click here to see the step by step solution of the quadratic equation
she should hire 20 workers to maximize the profit.