Nanyang Technological University HE9091 Principles of Economics January Semester 2021 Tutorial 1 (Student Version) Question 1 You are taking two courses this semester: Economics and Mathematics. You have two examinations coming up in both classes. The table below shows your grade on each examination for different numbers of hours spent studying for each: Hours of Study 0 1 2 3 Economics 70 I -17 77 -15 82 I 85 I -13 Mathematics 60 -18 68 I 74 I -16 78 I -14 Your goal is to maximize your average grade on the two quizzes. Use the idea of optimization in differences to decide how much time you would spend studying for each quiz if you had three hours in total to prepare for the two exams. Note: you can only choose to study in increments of one hour. Question 2 Explain how shifts in demand and/or supply curves could explain the equilibrium price of houses increases but the equilibrium quantity remains unchanged. You should consider three different situations and support your answers with three suitable diagrams. Question 3 The farm-breed fish industry in Singapore has been affected by two incidents. One incident is an increasing preference of consuming farm-breed fish by Singapore consumers. The other is the pollution in the Singapore sea which results in many farm-breed fishes died before harvesting. Analyze the effects of these two incidents on the farm-breed fish market in Singapore and support your analysis with suitable farm-breed fish market diagrams. 1 Question 4 The market for rice in a small country has the following demand and supply functions: Demand function: P = 6 – 0.5QD Supply function: P = 2 + 0.5QS Where QD is the quantity demanded, QS is the quantity supplied and P is the unit price of rice. (a) Determine the equilibrium price and quantity in the rice market. Support your answers with a suitable market diagram. (b) Since rice is the staple good in the country, the government decides to impose a price ceiling of rice at $2.50 per unit to help consumers. At this price, determine the quantity of rice consumed and produced. What is the maximum price that consumers are willing to pay in this situation? (c) To increase the income of rice farmers, the government implement a price floor policy (legal minimum price) of rice at $5.50 per unit. Determine the quantity of rice consumed and produced. Will this policy increase the earning of the famers? 2 1. marginal benefit inoreaseintotalbenefittromohe additional unit of an activity : with thegoalofmax.avggradeonzqui22.es , the best 2 hours That would gihemedhavgscoheof 75.5 . 1st hour 2nd 3rd 2 M : → basis of the cost ( Ihf ) E : M If demand ^ 200K 150K S' - → - 100K¥ - - - - - - - - - 't ! o l l 1 2 ' D, D l l > no 34 $ . Of s S' - ÷:p - o l l 1 2 . l l - - of perfect ( inelastic S, demand - - - - houses S2 K - > no 34 D n Tp , demand a supply curves move in the same direction , then the change in equilibrium price can be determined but equilibrium qty is dependent ohthe relative change p, , - higher value on the house higher It → look p, : z - , > n curve e. not sensitive to price , price 3 rook s n p 150k perfect ( inelastic - - - z - - , . D. → - - - - - • i - - - - It • ← i - o Dz → S" - 100kt 50k s - - supply curve - - $ ' n never reacts -10 . Ip Q l l 1 2 " D, l D l 34 > no - of houses ✓ > orviccrersa 3 . , asking price by the sellers driving the price up • i. accept a cheaper price price falls (2) increase 'm supply , decrease in supply houses - 50K houses , sellers , ^ 150K , hicerersaforcz , o S1 $1 kg ← n 12 10 Cll s ¢ increasing preference of farm bredfishnill - increase the demand - (2) sea pollution will caus @ adropihsupply Thepricelkgotfarm - - bredfishhillincreaseduetothe supply offish yet having an increasing demand However the equilibrium quantity cannot be smaller • 8 . - → determined astherelatineshiftofeachoftheaeme p, hill determined tailor increase D - o . decreases'h demand increased supply : consumers place alowervalyeohthe a) • I - 200K 'm asupplychangesinopp directions then the change equilibrium price can be determined but equilibrium price cannot be determined astheeftectohoutpytdependsohth@ relative change otthez s - - 50K is constant : $ . istostudytortconstoranhourimathtor . l l l l 2 4 6 8 > qty offish cinkg ) * illustrations don't need to be accurate Molteno points - cdhjustdrdw roughly . 1. OSYPPIY 2.0 3. > 0 demand ftp.plycodomahd osilpply - O demand . 4. (a) equilibrium price $4 - - qty , -_ Qs if QD p: 6 4 price 1kg 41 - . • 5- 3 - 2 ÷! ! - - a l D = / i - - a 4 ° l l I 2 3 14 I to l 7 > qty of rice ( kg ) - 5 V - s 2 - l . - - 0 - I x. , 5 price floor { f- - . • - - i - . This will create xp D I l 1 2 l 34 ' 5 to l 7 Xp / D I , l l l I 2 3 l 4 15 to . 7 7 qty of rice ( kg ) Demand is att QD supply a-11kg .sn the market shortage = 6kg > atyofrice ekg , = surplus office - , QD @ E = = mention this consumers are $16 → @ Price floor - - = 55×1 $5.50 discouragedfrom purchasing at such d highprice willing to absorb the surplus thehitis possible to implement a * to help high floor want to help the suppliers you 'd implement a price floor then n'cetera the consumers hhcnyoi . surplus of 6kg 4X4 if govt is 1kg . revenue tiers • ' a ×g=ykk9g . i - ° "s • • . . I 21 I rpriceceilihg . ' Xs . . . other hand supply I produce more in order -10 earn more . . - i . with the price floor above the equilibrium price consumers are not willing to pay that much A demand falls Suppliers on the price 1kg G . . price ceiling of 2.50 is lower than the equilibrium price which means demand exceeds = ^ - . The Xs as - . qty supplied "' • - V Qb . . - S . . - 4 ' l -1 G 514 ) p= 2+0.514 ) • • O =4 it I • - I = . . - S Qs price 1kg 4 = - n G Cb) 4kg