ࡱ> ?A>]#` Fbjbj\.\. kj>D>D=,,,,,,,$P8U8U8UPU|VP bVWWWWXXXmhՕ^,ZXXZZ,,WWŐ^^^Z,W,W^Z^^܁0,,WV ߪ8U[ $ې0 03\Z3Hz3,6XvsYT^YD ZXXXv]BXXX ZZZZPPPd*0$PPP0PPP,,,,,, CE361 Introduction to Transportation EngineeringPosted: Fri. 10 November 2006Homework 10 SolutionsDue: Mon. 20 November 2006 PUBLIC MASS TRANSPORTATION Transit ridership forecasts. Average daily ridership for the Mythaca Bus Company is 10,253. The base fare is $1.00. The MBC staff is recommending that the base fare be raised to $1.50. The most recent fare change was from $0.75 to $1.00 in 2001. After that fare increase, average daily ridership dropped from 9251 to 8241. Since then, the average daily ridership has grown gradually to 10,253. (10 points) Elasticity of demand with respect to fare. Using the shrinkage ratio equation, calculate the fare elasticity in Year 2001. Was the demand elastic or inelastic in Year 2001? (10.14)  EMBED Equation.3  Revenue before: P0 * Q0 = $0.75 * 9251 = $6938.25 Revenue after: P1 * Q1 = $1.00 * 8241 = $8241. Revenue increased, so demand was inelastic. (10 points) What will average daily ridership be if the current base fare is raised to $1.50, assuming the Year 2001 fare elasticity applies? How will fare revenues change as a result of the fare increase? (10.14)  EMBED Equation.3 ; (Q1 10,253) = -1681; Q1 = 8572. Revenue before: $1.00 * 10,253 = $10,253. Revenue after: $1.50 * 8572 = $12,858. (5 points) If the Board members do not want the average daily ridership to drop below 9000, what is the maximum possible value (to the next lower $0.01) of the new base fare? (10.14)  EMBED Equation.3 ; (P1 1.00) = 0.373; P1 = $1.373 ( $1.37 (10 points) Service elasticity. What if a change in service is proposed, instead of a fare increase? In a city similar to Mythaca, average daily ridership dropped from 8722 to 7150 last year after bus schedule frequency went from four times per hour to twice per hour. Calculate the elasticity of demand with respect to frequency for that similar city. (10.16)  EMBED Equation.3 = 0.360 Calculate the elasticity of demand with respect to headway for that similar city. (10.16)  EMBED Equation.3 = -0.180 (10 points) If MBC were to reduce its service from four times per hour to twice per hour, and if the service elasticity from the similar city applies, what would be the average daily ridership in Mythaca? If the current MBC operating costs are $42,000 per day, compute MBCs farebox recovery ratio before and after the proposed service change. Assume that every one percent reduction in service causes a one-half percent reduction in operating costs. Frequency-based calc:  EMBED Equation.3 ; Q1 10,253 = -1845.54; Q1 = 8407. Headway-based calc:  EMBED Equation.3 ; Q1 10,253 = -1845.54; Q1 = 8407. Recovery ratio before:  EMBED Equation.3 = 0.244 Service is reduced by 50 percent, so operating costs decrease by 25 percent -- $42,000 per day down to $31,500. Recovery ratio after:  EMBED Equation.3 = 0.267 Transit performance measures. Go to  HYPERLINK "http://www.in.gov/dot" www.in.gov/dot and click on Modes of Transportation, then  HYPERLINK "http://www.in.gov/dot/modetrans/bus/tran_5.html" Indiana Public Transit Annual Reports. Using the  HYPERLINK "http://www.in.gov/dot/modetrans/bus/pdf/INDOT_2005.pdf" \t "_blank" 2005 Indiana Public Transit Annual Report, (10 points) Update the Lafayette row in FTE Table 10.4. Use entries appearing on pages 82-83 of the 2005 Annual Report. Peak VehsTVMRidershipCost/miCost/tripRecovery%LaborLafayette 1999441,368,0502,153,3333.132.010.2374Lafayette 2005581,689,2724,301,0434.301.690.29*73*** 1.00 Operating subsidy ratio = 1.00 0.71 = 0.29 ** Labor costs = Operator Salaries/Wages $2,604,124 + Other Salaries/Wages $1,376,105 +Fringe $1,347,108 = $5,327,337. Total Operating Expense = $7,261,346. %Labor =  EMBED Equation.3 = 0.734 (5 points) Compute the fuel consumption rate (mi/gal) of vehicles in the Lafayette fleet. Page 82 of the 2005 Annual Report: Fuel consumption (gal) = 423,494. Mpg =  EMBED Equation.3 = 3.99 (15 points) Life-cycle cost calculations. Repeat the analysis in FTE Table 10.6, but with fuel $/gal = 2.0812. Only the Fuel 1 and Fuel 2 columns in FTE Table 10.6 change. Both LCC(1) and LCC(2) increase, but it is still the case that LCC(1) > LCC(2). The Typhoon still has a lower Life-Cycle Cost. TornadoTyphoonfuel $/gal $2.0812 fuel $/gal $2.0812 mpg4.7mpg4.1fuel cost/mi $0.443 fuel cost/mi $0.508 bus-mi/yr46,000bus-mi/yr46,000fuel cost/yr $20,369 fuel cost/yr $23,350 Driver $/hr$19.10 Driver $/hr$19.10 bus mph12.0 bus mph12.0 Driver $/hr$73,217 Driver $/hr$73,217 Maint $/yr$9,797 Maint $/yr$7,372 discount rate4.5%discount rate4.5%"inflation"0%"inflation"0%LCC(1) $1,201,075  $19,901 LCC(2) $1,181,174 YrPurch 1Fuel 1Maint 1DriverPurch 2Fuel 2Maint 2PW $258,370  $185,738  $89,335  $667,632  $ 233,400  $212,919  $67,222 1 $19,492  $9,375  $70,064  $ 22,345  $ 7,055 2 $18,653  $8,971  $67,047  $21,382  $6,751 3 $17,849  $8,585  $64,160  $20,462  $6,460 4 $17,081  $8,215  $61,397  $19,580  $6,182 5 $16,345  $7,862  $58,753  $18,737  $5,916 6 $15,641  $7,523  $56,223  $17,930  $5,661 7 $14,968  $7,199  $53,802  $17,158  $5,417 8 $14,323  $6,889  $51,485  $16,419  $5,184 9 $13,707  $6,592  $49,268  $15,712  $4,961 10 $13,116  $6,309  $47,146  $15,036  $4,747 11 $12,551  $6,037  $45,116  $14,388  $4,543 12 $12,011  $5,777  $43,173  $13,769  $4,347      CE361 HW 10 Solutions -  PAGE 3 - Fall 2006 19@AIMNY[\eknopr{ͼ͝ͼm[Lmhad5CJOJQJ^JaJ#hQzh 0N5CJOJQJ^JaJ#hQzhC5CJOJQJ^JaJ hQzh CJOJQJ^JaJh!h!OJQJ^Jh!CJOJQJ^JaJ hQzheCJOJQJ^JaJ hQzh"(CJOJQJ^JaJ hQzh 0NCJOJQJ^JaJ hQzhrCJOJQJ^JaJ hQzhCCJOJQJ^JaJ1OPfTRM$a$Mkde$$Ifl0%xt%4 layt 0NMkd$$Ifl0%xt%4 layt 0N $$Ifa$$IfE0 > n i  a^gd8]a & F gdp. & FgdX^gd! & Fgd1i^gd4& & Fgdlg & F gdp$a$ / 0 1 3 < r øΑo]oL>hr2CJOJQJ^JaJ hQzh(0LCJOJQJ^JaJ#hQzhp6CJOJQJ^JaJ hQzhpCJOJQJ^JaJ hQzhlgCJOJQJ^JaJ hQzhr2CJOJQJ^JaJhQzh~CJaJhQzh(0LCJaJhQzhpCJaJhQzh 0NCJaJhQzhr2CJaJhQzhCCJaJhQzhC5CJ\aJhQzh 0N5CJ\aJ      " # & N O P T U X  & ' h п|kZkZk| hQzhP.xCJOJQJ^JaJ hQzhqCJOJQJ^JaJ hQzh1iCJOJQJ^JaJ hQzhr2CJOJQJ^JaJh4&h4&OJQJ^Jh!h!H*OJQJh!OJQJ!jh4&h4&EHOJQJU+jH h4&h4&OJQJUVnHtHjh4&h4&OJQJUh4&h4&OJQJh i q r    ^ e нЏ~~m~\~ hQzhP.xCJOJQJ^JaJ hQzhNCJOJQJ^JaJ hQzhn;CJOJQJ^JaJ hQzhXCJOJQJ^JaJh!h!H*OJQJ!j$h!h!EHOJQJU%j(H h!CJUVaJnHtHh4&h!OJQJjh4&h!OJQJUh!OJQJh1iCJOJQJ^JaJ! 1ʷ՞~p_N= hQzhp.CJOJQJ^JaJ hQzh1iCJOJQJ^JaJ hQzh!CJOJQJ^JaJ jh8]ah8]aOJQJh8]ah8]aH*OJQJh8]aOJQJh8]ah!H*OJQJh!OJQJ!jh!h!EHOJQJU%jH h!CJUVaJnHtHh4&h!OJQJjh4&h!OJQJUh!CJOJQJ^JaJhXCJOJQJ^JaJ18  >G`aij}~ܺܨܚ~s`O~Gܨܚs~sh8]aOJQJ!j h8]ah8]aEHOJQJU%jWH h8]aCJUVaJnHtHh8]ah8]aOJQJjh8]ah8]aOJQJUh8]ah8]aOJQJ^Jhp.CJOJQJ^JaJ#hQzhp.>*CJOJQJ^JaJ hQzh1iCJOJQJ^JaJ hQzhP.xCJOJQJ^JaJ hQzhp.CJOJQJ^JaJ#hNhp.>*CJOJQJ^JaJ  0^_sbP?s1hNCJOJQJ^JaJ h9 h9 CJOJQJ^JaJ#hQzhHa6CJOJQJ^JaJ hQzhP.xCJOJQJ^JaJh9 CJOJQJ^JaJ hQzhHaCJOJQJ^JaJ hQzhCJOJQJ^JaJ hQzhp.CJOJQJ^JaJh8]ah8]aOJQJ^Jh8]ah8]aOJQJjh8]ah8]aOJQJU!jh8]ah8]aEHOJQJU%jH h8]aCJUVaJnHtH23FGɺwoo`UB%j:H h\CJUVaJnHtHh8]ah\OJQJjh8]ah\OJQJUh\OJQJh8]ah8]aH*OJQJh8]aOJQJ!j;h8]ah\EHOJQJU%jlH h\CJUVaJnHtHh8]ah8]aOJQJjh8]ah8]aOJQJUh8]ah8]aOJQJ^Jhp.CJOJQJ^JaJhNCJOJQJ^JaJh9 CJOJQJ^JaJLoLM?@EJNX`jsz $Ifgd*wh^hgd*w & FgdP.x & F gdHagdp^gd\^gd8]aGHIMN-.ABCDHKLMj׿׬דד׿׀oד^L#hQzhHa5CJOJQJ^JaJ hQzhCCJOJQJ^JaJ!jh\h9 EHOJQJU%j/H h9 CJUVaJnHtHh9 OJQJ!jh\h9 EHOJQJU%j9H h9 CJUVaJnHtHjh\OJQJUh8]ah\H*OJQJh\OJQJjh8]ah\OJQJU!jh8]ah\EHOJQJUjrs9:=GH!0>?گگvh^T^T^T^Th*wOJQJ^JhFLOJQJ^JhP.xCJOJQJ^JaJ$hQzhP.x0JCJOJQJ^JaJ)jhQzhP.xCJOJQJU^JaJ hQzhP.xCJOJQJ^JaJ$hQzhHa0JCJOJQJ^JaJ/jhQzhHaCJOJQJU^JaJ)jhQzhHaCJOJQJU^JaJ hQzhHaCJOJQJ^JaJ z{ kdO $$IfTlִ)e A=u!```````` t06    44 layt*wT{ $Ifgd*w  kd $$IfTlִ)e A=u!```````` t06    44 layt*wT $Ifgd*w ?&7O\q}ǺjW>j1j\"hFLhFLEHOJPJQJU^JnHtH%jH hFLCJUVaJnHtH-jhFLhFLOJPJQJU^JnHtH$hFLhFLOJPJQJ^JnHtH$hFLh*wOJPJQJ^JnHtH$hFLh*wOJPJQJ^JnHtHhFLh*wOJQJ^Jh*wOJQJ^JhFLOJQJ^J#hFLhFL5CJOJQJ^JaJ#hFLh*w5CJOJQJ^JaJ kd!$$IfTlִ)e A=u!```````` t06    44 layt*wT&G# $$Ifa$gdad $Ifgdad^gd9  & Fgdadgdad hh^h`hgd9  & FgdP.x 7$8$H$^gdFL^gdFLGIh#座善zpzYFYz$hadhadOJPJQJ^JnHtH,hadhadCJOJPJQJ^JaJnHtHhP.xOJQJ^JhadOJQJ^J#hadhad5CJOJQJ^JaJ hadhadCJOJQJ^JaJ%j$h9 hLEHOJQJU^J%jH hLCJUVaJnHtHjh9 OJQJU^JhNOJQJ^Jh9 OJQJ^J hQzhP.xCJOJQJ^JaJ "%&+/59:;IKklBCOWdlmn347BՒՒՒՒլլՒ2hadhad5CJOJPJQJ\^JaJnHtH/ *hadhadCJOJPJQJ^JaJnHtH hadhadCJPJaJnHtH,hadhadCJOJPJQJ^JaJnHtH&hadCJOJPJQJ^JaJnHtH9 :11% $$Ifa$gdad $Ifgdadkd '$$IfTlֈ6 ng#''] '8'`' '`#644 la]p<ytET $%&'+/0159:;<IRSTajklmFf0Ff,Ff) $$Ifa$gdad $Ifgdadmw~Ff6FfV3 $$Ifa$gdad $Ifgdad !*+,8ABCDOWXYdFfn@Ff(= $$Ifa$gdad $IfgdadFf9dlmno}Ff@JFfFFfC $Ifgdad $$Ifa$gdad $+347FfT $$Ifa$gdadFfPFfM $$Ifa$gdad $Ifgdad7BMWbnyFfZ $IfgdadFfXW $$Ifa$gdadBWYbn&'*,[\_a/0de   骝hEjhEUhadhadOJQJ^J hadhadCJPJaJnHtH2hadhad5CJOJPJQJ\^JaJnHtH&hadCJOJPJQJ^JaJnHtH,hadhadCJOJPJQJ^JaJnHtH7&')*4=GHR[\^_ir|}FfpdFf*a $Ifgdad $$Ifa$gdadFf]}FfBnFfj $IfgdadFfg $$Ifa$gdad&/023=FPQ[dehis|FfxFft $IfgdadFfq $$Ifa$gdad   ^gd9 Ff~ $IfgdadFfZ{ $$Ifa$gdadCDEF^gd9  !$gdad,-3456BCEFhadhadOJQJ^JhEhad0JmHnHu had0Jjhad0JUhad 21h:p6/ =!"#$% 5 01h:pad/ =!"#$% c$$If!vh55x#v#vx:V lt%55x4yt 0Nc$$If!vh55x#v#vx:V lt%55x4yt 0NZDd h  s *A? 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