You are given the following data for your firm, which sells a patented super-absorbent cleaning towel for use in large retail complexes (called "One Wring to Rule the Mall" ).

Q	P	TC
0	$215	$2,700.00
10	$208	$4,062.50
20	$201	$5,180.00
30	$194	$6,157.50
40	$187	$7,100.00
50	$180	$8,112.50
60	$173	$9,300.00
70	$166	$10,767.50
80	$159	$12,620.00
90	$152	$14,962.50
100	$145	$17,900.00

a. Determine equations for P=f(Q), MR=f(Q), ATC=f(Q, Q²), AVC=f(Q, Q²), MC=f(Q, Q²). Recall that your marginal equations should be derivatives of your totals!