1) An oil field containings 20 wells has been producing 4000 barrels of oil daily. For each new well that is drilled, the daily production of each well decreases by 5 barrels.

i) Write the total daily production of the oil field as a function of the number x of new wells drilled.

ii) What number x of new wells drilled will maximize the total daily production of oil.

Now I don't have any idea at all how to do this problem...but i realize it will be a parabla function as it asks for a maxmium....Also how could i find the maximum without using a graphing calculator when the equastion?

thanks for the help guys!