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In March 2018 the price index for buildings in Orange County had a value of 5903...

In March 2018 the price index for buildings in Orange County had a value of 5903 and in March 2002 the value was 2382. In March 2018 plans were initiated for a new building at a University. The final construction cost for the building was $52.5 million. Another building of the same size and quality is planned to be constructed in March 2022. Estimate the new building’s cost using the given price indices. (10 points)

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Answer #1

We have the following information

Price Index in March 2018 = 5903

Price Index in March 2020 = 2382

Cost of building in March 2018 = $52.5 million

Taking March 2018 as the base 100. The Price index for March 2020 is given by the following formula

Price Index for March 2020 with March 2018 as base = (2382/5903) × 100 = 40.35

This means that to get the price of the building in March 2020 we need to multiply the cost of building in 2018 with 0.4035.

Cost of Building in 2020 = $52.5 billion × 0.4035

Cost of Building in 2020 = $21.18 billion

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