A firm has the following production function: y = f(x) where y is the output and x is the input. If the price of y is $2 per unit and the price of x is $6 per unit, complete the following table and plot output, AP, and MP on a graph. Determine the optimum level of input x that should be used to maximize profit, given fixed costs = $100

INPUT	OUTPUT	AP	MP	TR	TC	PROFIT
0	000
1	2
2	10
3	23
4	38
5	54
6	70
7	85
8	99
9	110
10	117
11	120
12	120
13	118