An assembly operation requires $110,000 per year in labor costs. A robot can be purchased an installed to automate this operation. The total robot cost will be $200,000 and have no market value at the end of the 10 year period. Maintenance and operational costs for the robot are estimated to be $74,000 per year. Invested capital must earn at least 12%. Use the PW method to determine if this is a good investment. What is the PW.
Year | Savings | AMC | Net Annual | PVF @12% | Prsent value of savings | |
In labour | Savings | |||||
1 | 110000 | 74000 | 36000 | 0.892857 | 32142.86 | |
2 | 110000 | 74000 | 36000 | 0.797194 | 28698.98 | |
3 | 110000 | 74000 | 36000 | 0.71178 | 25624.09 | |
4 | 110000 | 74000 | 36000 | 0.635518 | 22878.65 | |
5 | 110000 | 74000 | 36000 | 0.567427 | 20427.37 | |
6 | 110000 | 74000 | 36000 | 0.506631 | 18238.72 | |
7 | 110000 | 74000 | 36000 | 0.452349 | 16284.57 | |
8 | 110000 | 74000 | 36000 | 0.403883 | 14539.8 | |
9 | 110000 | 74000 | 36000 | 0.36061 | 12981.96 | |
10 | 110000 | 74000 | 36000 | 0.321973 | 11591.04 | |
Presetn value of cash savings | 203408 | |||||
Less: Initial Investment | 200000 | |||||
Present worth | 3408 | |||||
Hence, Robot must be installed |
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