Find the critical points at which profit zr is maximized for each of the following firms given the total revenue TR and total cost TC functions. Check the second-order conditions on your own.

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(a) TR = 520Q 2Q2 (c) TR=985Q-17Q2 (d) TR = 3875Q - 27Q2 (e) TR=15260-902 (f) TR=45270 - 1802 TC = 28Q+176 (b) TR693Q-402 503 20 + 400+167 TC TC TC = TC = = 403 3Q +350 +223 - Q3 1.50 +260 + 127 - 203 30+27Q+324 - TC 33Q+125 =