ASSIGNMENT 1 ARCHIT SACHDEVA 230143613 ECO 350 – A1 Problem 1 A. NB(Q) = B(Q) - C(Q) NB(Q) = 100 + 36Q - 4Q^2 - 80 -12Q NB(Q) = 20 + 24Q - 4Q^2 B. NB(1)= 20 + 24(1) -4(1)^2 = 40 NB(5) = 20 + 24(5) -4(5)^2 = 40 C. MNB(Q) = DIFFERENTIATION OF 20 + 24Q - 4Q^2 = 24 - 8Q D. MNB(1) = 24 - 8(1) = 16 MNB(5) = 24 -8(5) = -16 E. MNB(Q) = 0 = 24 - 8Q 8Q = 24 Q= 3 F. MNB(3) = 24 - 8(3) = 0 PROBLEM 2 PREFERRED STOCK VALUE = $125/0.05 = $2500 PROBLEM 3 A. Accounting cost = $ 145000 Implicit cost = $ 75000 Opportunity cost = $ $220000 B. Revenue needed for positive accounting profit = $145000 Revenue needed for positive economic profit = $220000 PROBLEM 4 A. SUPPLY WILL INCREASE B SUPPLY WILL DECREASE C SUPPLY WILL DECREASE D SUPPLY WILL INCREASE PROBLEM 5 A. Good Y is a complement of X, where as good Z is a substitute of X. B. X is a normal good C. Qxd = 6000 - 0.5(5230) - 6500 + 9(100) + 0.1(70000) = 4785 PROBLEM 6 A. Qd = Qs 60 - P = P - 20 2P = 80 P = $40 Qd = 60 - 40 = 20 Qs = 40 - 20 = 20 B. Qd = 60 - 50 = 10 Qs = 50 - 20 = 30 Surplus = 30 - 10 = 20 C. Qd = 60 - 32 = 28 Qs = 32 - 20 = 12 Surplus = 28 - 12 = 16 PROBLEM 7 A. Number of units supplied at price floor of $ 40 = 40 - 16 = 24 Number of units demanded at price floor of $ 40 = 92 - 2(40) = 12 Unsold units of firm = 24 - 12 = 12 Cost to government of buying unsold units of firm = 40 * 12 = $456 B. 92- 2PX = PX - 16 3PX = 92 + 16 PX = 108/3 PX = $36 92 - 2(36) = 92 - 72 = 20 Lost social welfare (Deadweight loss) = 0.5 * ( 40 -36 ) * ( 20 - 12 ) = 0.5 * 4 * 8 = $16 PROBLEM 8 A. QXD = 1200 - 3PX - 0.1PZ QX = 750 UNITS ELASTICITY =. -3 *. (140/750) = - 0.56 INELASTIC B. QXD = 450 ELASTCITY = -3 * (240/450) = -1.6 ELASTIC C. ELASTICITY = -0.1 * ( 300/750 ) = -0.04 PROBLEM 9 A. -3 * 0.05 = -0.15 B. -4 * 0.08 = -0.32 C. -2 * 0.04 = -0.08 D. 1 * 0.04 =. 0.04