An engineer is working on the layout of a new research and experimentation facility. Two operators will be required. If, however, an additional $100,000 of instrumentation and remote controls were added, the plant could be run by a single operator. The total before-tax cost of each plant operator is projected at $35,000 per year. The instrumentation and controls will be depreciated by means of a modified accelerated cost recovery system (MACRS). If this corporation (22% combined corporate tax rate) invests in the additional instrumentation and controls. how long will it take for the after-tax benefits to equal the $100,000 cost? In other words, what is the after-tax payback period? Please write out every step and formula, don't use excel. The answer should be 3.08 years, thank you.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter17: Long-term Investment Analysis
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An engineer is working on the layout of a new research and experimentation facility. Two operators will be required. If, however, an additional $100,000 of instrumentation and remote controls were added, the plant could be run by a single operator. The total before-tax cost of each plant operator is projected at $35,000 per year. The instrumentation and controls will be depreciated by means of a modified accelerated cost recovery system (MACRS). If this corporation (22% combined corporate tax rate) invests in the additional instrumentation and controls. how long will it take for the after-tax benefits to equal the $100,000 cost? In other words, what is the after-tax payback period?

Please write out every step and formula, don't use excel. The answer should be 3.08 years, thank you. 

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