4. A cement factory plans to purchase a new machine. There are three options as shown in the table. If MARR is 15% per year, which should be selected using present worth analysis and Least Common Multiple approach? Option Price of the Annual benefit ($1000/year) Annual cost Life ($1000/year) machine ($1000) (year) A 3000 1800 800 5 B 3650 2200 1000 5 C 6000 2600 1200 10 interest rate (IR): 15% interest rate (IR): 15% uniform payment series n n A/F AIP FIA 1 1 1.0000 1.1500 1.0000 2 2 0.4651 0.6151 2.1500 3 3 0.2880 0.4380 3.4725 4 0.2003 0.3503 4.9934 5 0.1483 0.2983 6.7424 6 0.1142 0.2642 8.7537 7 0.0904 0.2404 11.0668 8 0.0729 0.2229 13.7268 9 0.0596 0.2096 16.7858 10 0.0493 0.1993 20.3037 456 7 8 9 10 single payment FIP PIF 1.1500 0.8696 1.3225 0.7561 1.5209 0.6575 1.7490 0.5718 2.0114 0.4972 2.3131 0.4323 2.6600 0.3759 3.0590 0.3269 3.5179 0.2843 4.0456 0.2472 PIA 0.8696 1.6257 2.2832 2.8550 3.3522 3.7845 4.1604 4.4873 4.7716 5.0188