00:01
Hello students, there is an equipment which is an engineering company is considering the replacement of lathe machine.
00:10
So the total cost first cost let's call this c1 is equal to 20 ,000.
00:15
So annual maintenance cost increase annual maintenance cost increase is equal to 2000.
00:21
So interest rates i1 is equal to 4 % which is equal to 0 .04 and i2 is equal to 15 % that is equal to 0 .15.
00:34
So to calculate the equivalent annual cost and replacement time so eac and equivalent annual cost will be equal to c1 plus a times a by p, jn plus a times a by f, jn.
01:04
So a by p, jn is the present worth factor of annual series of payment and af, jn is the future worth factor for annual series payments.
01:14
So let's calculate the optimum replacement time for each interest rate.
01:18
So when it is 4 % that is the first thing we can use the we can optimize the we need to determine the replacement time that minimizes the eac.
01:30
So eac1 will be equal to 20k plus 2k times a by p of 0 .04 ,1 plus 2k times a by f of 0 .04 ,1.
01:54
So you can go further you can find out eac1, eac2 just substitute the value of this n is equal to 2...