Mr. Farooq produces school tables and his profit function is believed to be quadratic in nature. The profit from 7 tables is 12000 and from 9 tables is 12400 and from 4 tables his profit is 11300. Find the following

a) Derive profit function from the given data

b) Level of output that maximize profit and the maximum profit Mr. Farooq can get?

c) Sketch the obtained function