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Question 3 (worth 25% A monopolist has its total cost s (TC) of production given in Table 4. The (inverse) demand curve it faces in the market is described by this equation: P = a-BQ 5,000-(40)Q.Table 4: Tot al Costs for a Monopoli st TC 800 11181.4 21531.2 31857.8 4 2169.6 2475 6 2782.4 73100.2 8 3436.8 93800.6 10 4200 11 4643.4 125139.2 13 5695.8 14 6321.6 15 7025 16 7814.4 178698.2 18 9684.8 19 10782.6 20 12000 QI TC 21 13345.4 2214827.2 2316453.8 24 18233.6 25 20175 26 22286.4 2724576.2 2827052.8 29 29724.6 30 32600 31 35687.4 3238995.2 33 42531.8 3446305.6 35 50325 36 54598.4 37 59134.2 3863940.8 39 69026.6 0 74400 3(a). Derive the MC and ATC values using the equation MC ΔTCAQ and ATC = TC/Q 3 (b). Draw the MC and ATC curves using the values derived for (a). Draw the inver se demand curve and its correspon ding MR curve. Note: for the MR curve, be sure to use the equation learned in class. MR=a_2bQ 3 (c). What is the price (PM) and quantity (QM) that the monopolist will choose in or der to maximize profit? 3 (d). What is their total profit from the price and quantity combin ation in (c)? 3 (e). What is the con sumer surplus when they charge the price PM from (c)?

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1A. QİTC MC ATC MR 0 800 5000 1181.40 4920 349.8 765.60 4840 4760 42.40 4680 305.4 495.00 4600 4520 94440 1 1181.4 2 1531.2 3 1857.8 4 2169.6311.8 5 2475 6 2782.4 307.4 7 3100.2317.8 326.6 619.27 463.73

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