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A new aerated sewage lagoon is required in a small town. Earlier this year, one was built on a similar site in an adjacent city for $2.3 million. The new lagoon will be 65% larger. The power sizing exponent for this project is 1.13. What is a good estimate for the cost of the new, larger lagoon?

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Answer:

value of new lagoon will be $4.05 million

Step-by-step explanation:

We have given cost = $2.3 million

It is given that new lagoon will be 65% larger

So size of lagoon will be 1+0.65 =1.65

Sizing exponent for this project is given 1.13

So x = 1.13

New lagoon is given by
New\ lagoon=cost* size^x

So new lagoon will be equal to
=2.3* 1.65^(1.13)=2.3* 1.76=4.05 $ million

So value of new lagoon will be $4.05 million

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