Question 195445
Find the maximum of the difference.
What is the maximum of TR - TC?
{{{Profit = TR - TC}}}
{{{Profit = 100q - (5000+2q+0.2q^2)}}}
{{{Profit = -0.2q^2 + 98q - 5000}}}
Take the derivative and set to 0
{{{0 = -0.4q + 98}}}
{{{-98/(-0.4) = q}}}
{{{245 = q}}}

or plot -0.2q^2 + 98q - 5000 using your calc and find the max