Problema Solution
The daily profit in dollars of a specialty cake shop is described by the function P(x) = -6x2 + 252x - 1920, where x is the number of cakes prepared in one day. How many cakes are prepared per day if the company has a daily profit of zero dollars?
Answer provided by our tutors
we need to find such x so that P(x) = 0 that is
-6x^2 + 252x - 1920 = 0
by solving the quadratic equation we find 2 roots
x1 = 10
x2 = 32
click here to see the step by step solution of the quadratic equation
the daily profit is zero if the company produces 10 cakes or 32 cakes.