exam2ak - Econ 100 Exam 2 Fall 1998 SHOW YOUR WORK IF YOU...

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Unformatted text preview: Econ 100 Exam 2 Fall 1998 SHOW YOUR WORK IF YOU WANT TO GET PARTIAL CREDIT 1) What is an income effect? (5 points) a) a line parallel to the new budget constraint that touches the old indifference curve b) the amount by which consumption changes when prices change, holding income constant (9 the amount by which consumption changes when income changes, holding prices constant d) a parallel shift in the budget constraint 2) The marginal rate of technical substitution is : (5 points) a) the amount by which output increases when an input is increased by 1 unit the amount by which revenue increases when an input increases by 1 unit (3 the firm’s ability to substitute one input for another while producing the same level of output d) the firrn’s marginal physical product holding constant the level of output 3) Firm A’s production function is F (K,L)=(K+L)/K2. Does Firm A exhibit increasing, constant, or decreasing returns to wake? (5 points) FQKIQL‘): (‘QttirQLy (at); I h, Pom +9 5 ,9, ( int L ') a K. 7* } ___ A r i’CKfl.) 1).“;me dQCK—QCI-fiiflfj Z ?Cln+5 4) a) Is good Y on the diagram below a normal good or an inferior good? (5 points) normal L intend. (llréci' 5) poem!" Lama 93’!“ and jlr) b) Based on the diagram above, draw the regular demand curve for Y and the compensated demand curve for Y. Explain why the slope 0f the regular demand curve differs from that of the compensated demand curve. More thorough answers Will receive more pomts (7 pomts) mm mg ddfimm L Eye J we. see Hm- the. sub t‘l-Féel' ‘j Fidgtiétfii Y JQSS Him 9‘3. % 1C0: diagram l“ Lil-l 9 “Ed'- :” @H‘?-’31Le r : so * e. C cw“ m - - H CO: exflwnu ban b x 4‘s. c. Siting,— D (than? m Ce dL'YICw (19 than we would (imam if: Miamt MM. met 5 Lempmsnled 5) Priscilla lives two periods. In the first period her income is fixed at $4,000. In the second period, it is $2,200. She can borrow and lend at the market interest rate of 10 percent. Consumption goods cost $1 per unit this year and there is no inflation. Priscilla’s utility function is U(C1C2)= C12 C22. a Li) a) What is the future value of Priscilla’s income? (5 points) “U l F BCOnWrCMYVl’ i-5 vat ll? V1 H‘P’fl' 3.x” b) On the diagram below, draw Priscilla’s budget constraint, and clearly identify the point on the budget constraint such that Priscilla is fully spending her income in each period. (4 points) H «130 C I c) What is Priscilla’s marginal rate of substitution between consumption this year and consumption next year, when C1=1 and C2=10? (5 points) ‘ §U . l ("I (.13- C9, ‘ “Mfg " C. : "3 J W I'V'V-J w W"" 0 o <0 d) Write down Priscilla’s budget constraint. (4 points) other Fv or PV is b‘ne FV. 90000.13 + 2'200 = of EEOC =— C\(I.l3 + C2 C‘Ll.l) "V C2 120* (1. FN’ Lie-00 r ———-‘T" : (..i— f"; if _ C L (0000 : (Vt + .32! 1. c) How much will Priscilla consume in period 1? In period 2? (5 points) mfl’" ' ’ ,7“ r m r is) C1_ 1.1. 3.; L1» l.lCl G 6c: (uGOO r— me. + C; = 2C1 Cl = 234300 CD ': 2%C'—5 . Cl ._-———-L :‘ 3009, O) f) Draw an indifference curve on the diagram above (in Part B) that would be consistent with Priscilla’s preferences. (3 points) Nt‘l'l'c'. Priscilla I5 6. Sax/“6f g) Now, the interest rate rises to 20%. Show what happens to Priscilla’s budget constraint on the diagram in Part B. Use an arrow to Show how the budget constraint changes (4 points) h) How will the change in the interest rate ‘ ect her saving/borrowing? Explain, using incomEand substitution effects. (4 points Etccmfiot dflfwmke he“; 5le Wag “PM {My}; Jhe. .s a save! _ v P - Q I53 5 11‘ '9) “Che!” TC; ‘3‘ i (‘1 6) ask: effiexi' : ‘.'|‘ .5; ccprg‘nt consulate:th mere expensm‘fi C01; C2. 5) Firm A’s production fimction is F(K, L) = (4K+2l.)”2 . The price of output is $100 per unit, the wage rate is $5 per labOrer, and the price of K is $1. a) Find the marginal physical product of labor W. (6 points) a - . w. “a mPPL: (qK+oL)2”U_)/'"Q7 c3 6) ; _ I _ l r ‘ ~ IG- “ . Va (HY-mm) (Labia '“ W bj Find three combinations ofL and K that are on the isoquant F=3. (6 points) '«Héer 3L. :- 3 £0 ' ' -" ouch 14: Leg {gs-541 Z“ K: g/q L: ((9/1 f< : O 1...: /" 6) Cowville is considering the possibility of publishing a tourism brochure. The cost of putting the brochure together is $1000. It is estimated that if the brochure is circulated, it will bring in additional tourism that will generate $400 more dollars annually, to local merchants. The additional revenues will be accrued starting in the year after the brochure is published. After three years, the brochure will not bring in any more tourists and the additional revenues will cease. The interest rate is 10%. Is it worthwhile for Cowviile to invest in the brochure? (Hint: 1.12=1.2 and 1.13:1.3 and 1.14:1.5 and 1.15=I.61) (3 points) PVC : loco CD . ‘w “a '0'“ L133. Pfig ‘ Half—L; + at M Q) . . {,3 59% r 533 + set (E) lI .— _-a )OC 55 RI?) > PVC. .52- yes 7) The government levies a 30% wage tax on Cleopatra. It uses the money to finance a parade. The parade’s value is just sufficient to make her as well off as she was before the tax was levied. On a diagram, show the effect of the government tax and expenditure package on Cleopatra’s labor supply. (9 points) DUH’eCl Ime. refleclS substitu titan Q. (Fact. There is m thwme {fig}- beau-IR Clacpai’rtt. ij Hampers gal”? cl . Li '—L Lasws 8) The demand equation for hamburgers is H= 1/100 -Pr 2-PH. Where Pf is the price of fries and PH is the price of hamburgers. Fries are a normal good. a) Are hamburgers and fries substitutes or complements? (5 points) Pt“ "3* M” and .L a @ *8 Can’t plérnbfils (Or R)!“ (“1 GquiLhL/Y) b) Are hamburgers a Giffen good? (5 points) T "Ph 11H 6) I=500, PF] and PH=1. If the hamburger stand raises the price of hamburgers will its revenues increase, decrease, or remain the same? (10 points) CD End Pntfi 'UCLS'LU ft,‘ 9‘: arde . figfi ': “ 5O «alas z. "‘46:? New H=§T%%m-lm,15@ Sc V em: i .. f \ ‘30 melamine giv- re-Jenue“: w-H T ‘F Pk? ...
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exam2ak - Econ 100 Exam 2 Fall 1998 SHOW YOUR WORK IF YOU...

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