Question

A company plans to sell pens for $2 each. The company’s financial planner estimates that the cost, y, of manufacturing the pens is a quadratic function with a y-intercept of 120 and a vertex of (250, 370). What is the minimum number of pens the company must sell to make a profit?

Answer 1

moved to mathematics

Answer 2

i'm not 100% on this but I think you would just find the equation of the parabola where

(x-h)^2 = 4p(y-k)
where (h,k) is your vertex
and (0,120) is your sample (x,y) value to solve for p
then you'd go back and re-write the equation in terms of y and x, plugging in h,k, and p

after that, find profit > cost and solve for the minimum x value, rounding up to the nearest whole # of necessary