I explained capacity ratios in class even though they are not in the text. Suppose we built a chemical plant with a capacity of $34$ thousand pounds per day at a cost of $$3\mathrm{.}8$ million. Our client wants to another plant to do the same process. The proposed plant has a capacity of $13$ thousand pounds per day. The exponent for the type of plant we are constructing is $0\mathrm{.}62.$ Ignoring any changes for location or time factors, what is your estimate of the cost for the proposed plant? Report your answer to $4$ significant digits, do not include a dollar sign.