Find the MR functions associated with each of the following demand functions and evaluate them at Q = 20 and Q = 40.

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(a) (b) (c) P = -0.1Q+25 To find the MR function, given simply a demand function, first find the TR function in terms of Q and then take its derivative with respect to Q. and and TR = PQ = (-0.1Q+25) Q = -0.1Q +250 MR = dTR/dQ = -0.20 +25 MR (20) -0.2(20) + 25 = 21 MR (40) -0.2(40) + 25 = 17 P=0.5Q+48 TR = (-0.50 +48) Q = -0.50+48Q MR dTR/dQ==Q+48 = MR (20) (20) + 48 = 28 == MR (40) (40) + 48 = 8 = Q = -4P +240 If the demand function is given as a function of P, first find the inverse function and then derive the TR function. Finding the inverse, then and P = 0.25Q+60 TR = (-0.25Q+60) Q = -0.25 Q + 60Q MR = -0.50 +60 MR (20) -0.5(20) + 60 = 50 = MR (40) -0.5(40) + 60 = 40 =