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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 $170,000 each and the military arms unit signs a contract to purchase 3,000 of them now and another 7,500 one year from now, what is the equivalent annual cost of the contract over a 4-year period at 8% per year interest?

Answer :

Answer:

Equivalent annual cost ($) 294,177,861.7

Explanation:

[tex]Present \ Worth\ (PW) ($) = 3,000 \times  170,000 + 7,500 \times 170,000 \times PVIF (8%, 1)[/tex]

From PVIF table, the value of PVIF (8%, 1)  is 0.9259

[tex]= 510,000,000 + 1,275,500,000 \times  0.9259[/tex]

[tex]= 510,000,000 + 1180522500[/tex]

= 1,690,522,500

Equivalent annual cost ($) [tex]= \frac{PW}{PVIFA (8 percentage, 8)}[/tex]

from PVIF and PVIFA table, the value of PVIFA (8 %, 8) is 5.7466  

[tex]= \frac{1,690,522,500}{ 5.7466} = 294,177,861.7[/tex]

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