You have asked two unrelated questions in the same post. I have addressed the first one. Please post the balance question separately.
Cash flow in year 0 = C0 = Number of robots purchased now x cost per robot = 3,000 x 165,000 = $ 495,000,000
Cash flow in year 1 = C1 = Number of robots purchased 1 year later x cost per robot = 8,000 x 165,000 = $ 1,320,000,000
Interest rate, r = 11%
PV of the cash flows = C0 + C1 x (1 + r)-1 = 495,000,000 + 1,320,000,000 x (1 + 11%)-1 = 1,684,189,189
If C is the equivalent annual cost over n = 8 years then,
PV = C / r x [1 - (1 + r)-n]
Or, 1,684,189,189 = C / 11% x [1 - (1 + 11%)-8] = 5.1461C
Hence, the equivalent annual cost = C = 1,684,189,189 / 5.1461 =
$ 327,273,419
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Improvised explosive devices (IEDs) are responsible for many deaths in times of strife and war. Unmanned ground vehicles (robots) can be used to disarm the IEDs and perform other tasks as well. If the robots cost $135,000 each and the military arms unit signs a contract to purchase 3,500 of them now and another 7,500 one year from now, what is the equivalent annual cost of the contract over a 5-year period at 10% per year interest? Improvised explosive devices...
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