A factory produces x calculators per day. The total daily cost in Shillings incured is 5x^2-800x+500. If the calculators are sold for sh (100-10x) each,

i, Determine the profit function
ii, Find the number of calculators that would maximize the daily profit
iii, What is the daily maximum profit?

1 answer

P(x) = R(x)-C(x) = x(100-10x) - (5x^2-800x+500)

That' just a parabola, so its vertex is easy to find, no?