这是某题的一部分,计算结果正确,但是计算过程却让人不知所解,不知是印刷错误还是怎么回事。大家看看。~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
寿命期大修成本计算:~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
1、公路使用寿命100年,折现率为5%,两种路面大修方案比较。~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
A方案:沥青砼路面,面积710850平方,每15年大修一次,旧路面挖除4.5元/平方,新修路面120元/平方,大修年收费减少收费收入100万元,增加燃油消耗、时间损失等社会成本200万元。试计算寿命周期的大修成本。~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
A方案:(120×71850+4.5×710850+1000000+2000000)×(1+5%)15×(1-(1+5%)90)÷(1-(1+5%)-15)=91500825×0.9154=83759855 (元)~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
B方案:水泥砼路面,面积710850平方,每10年大修一次,旧路面挖除8元/平方,新修路面85元/平方,大修年收费减少收费收入100万元,增加燃油消耗、时间损失等社会成本200万元。试计算寿命周期的大修成本。~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
答案:~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
A方案:(85×71850+8×710850+1000000+2000000)×(1+5%)10×(1-(1+5%)90)÷(1-(1+5%)10)=69109050×1.5704=108528852 (元)~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
(1+5%)15×(1-(1+5%)90)÷(1-(1+5%)-15)=153.626 不知何意?~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
(1+5%)10×(1-(1+5%)90)÷(1-(1+5%)10)=206.5089~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
正确计算过程应为:~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
A方案:(120×710850+4.5×710850+1000000+2000000)×[(P/F,5%,15)+(P/F,5%,30) +(P/F,5%,45) +(P/F,5%,60) +(P/F,5%,75) +(P/F,5%,90)]=91500825×0.9154=83759855 (元)~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
B方案:(85×710850+8×710850+1000000+2000000)×[(P/F,5%,10)+(P/F,5%,20) +(P/F,5%,30) +(P/F,5%,40) +(P/F,5%,50) +(P/F,5%,60) +(P/F,5%,60) +(P/F,5%,70) +(P/F,5%,80) +(P/F,5%,90)]=69109050×1.5704=108528852 (元)~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´
~ëÆî_¶Fðbbs.3c3t.comëaº©*rÝæ ´