Question

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 4.500 of them now and another 7.000 one year from now. what is the equivalent annual cost of the contract over a 8-year period at 12% per year Interest? The equivalent cost of the contract is determined to be SD

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Answer 1

Ans: Equivalent annual cost is $292,144,778

Explanation:

Each Robot cost = $135,000

Cost of 4500 robots = $135,000 * 4500 =$607,500,000

Cost of 7000 robots = $135,000 * 7000 =$945,000,000

Number of interest period ( n )

Interest rate ( i )

Present Worth = $607,500,000 + $945,000,000( P / F , i , n )

= $607,500,000 + $945,000,000( P / F , 12% , 1 )

= $607,500,000 + $945,000,000( 0.8929 )

=  $607,500,000 + $843,790,500

=$1,451,290,500

Equivalent annual cost = $1,451,290,500 ( A /P , i ,n )

= $1,451,290,500 ( A /P , 12% , 8 )

= $1,451,290,500 ( 0.2013 )

= $292,144,778