问题1:
(3)
6101.0
(3)
①计算C 方案的功能指数:
Waa=2X0.3+3X0.4+1X0.1+3X0.2=2.5
Wbb=3X0.3+1X0.4+2X0.1+2X0.2=1.9
WC=1X0.3+2X0.4+3X0.1+1X0.2=1.6
所以CC 方案的功能指数iV=1.6+(2.5+1.9+1.6)=0.267
②CC 方案的成本指数Cc=6900+(8500+7600+6900)=0.300
③CC 方案的价值指数Fc^Fc/Q^O.267+0.3=0.890
因为A 方案的价值指数最大,所以应选择A 方案。
问題2:
设工程款按开工日折算的现值为PV,则:
PV 甲=80X(P/A,1%,4)+100X(P/A,1%,4)(P/F,1%,4)+80X(P/A,1%,4)(P/F,1%;8)
=80X3.902+100X3.902X0.961+80X3.902X0.923=975.27(万元)
PV 乙
=90X(P/A,1%,3)+(90+80)X(P/A,1%,1)(P/F,1%,3)+80X(P/A,1%,4)(P/F,1%,4)+70X(P/A,1%,4)(P/F,1%,8)=90X2.9
41+170X0.990X0.971+80X3.902X0.961+70X3.902X0.923=980.22(万元)
PVp}=100X(P/A,1%,4)+90X(P/A,.1%,3)(P/F,1%,4)+(90+60)X(P/A,1%,1)(P/F,1%,7)+60X(P/A,1%,4)(P/F,1%,8)=100X0.3902+90X2941X0.961+150X0.990X0.933+60X3.902X0.923=999.2(万元)
根据上述结果,应选择丙施工方案。
问題3:
(1)ACa=[10000+5500(P/A,15%,3)+6500(P/A,15%,3)(P/F,15%,3)—3500(P/F,15%,6)]/(P/A,15%,6).
=(10000+12556.5+9764.39-1512)/3.784=8141.88(万元)
ACb=[12000+5000(P/A,15%,3)+6000(P/A,15%,3)(P/F,15%,3)—4500CP/F,15%,6)]/(P/A,15%,6)
=(12000+11415+9013.28-1944)/3.784=8056.10(万元)
经比较得知,B 方案较优。
注:(P/A,i,n)CP/F,i,n)=Cl+i)~%(P/A,i,n){A/P,i,n)=1。
(2)PAa=10000+5500(P/A,15%,3)+6500(P/A,15%,3)(P/F,15%,3)—3500(P/F,15%,6)=30808.89(万元)
PAb=[12000+5000(P/A,15%,3)'+6000(P/A,15%,3)(P/F,15%,3)+7000(P/A,15%,3)(P/F,15%,6) —2000(P/F,15%,9)]'(P/A,15%,6)/(P/A,15%,9)=32857.05(万元)
经比较得知,A 方案较优。