Monthly rates for water used per 100ft^2 in baton rouge are tabulated below. In

Question

Monthly rates for water used per 100ft^2 in baton rouge are tabulated below. In july, 250 hundred n^2 water was used; How much you should pay your water bill What is the average cost per 100 ft What is the marginal cost What is themarginal cost if in December, only 50 hundred ft^2 is used 10 years ago. when the relevant cost index was 125, a nuclear centrifuge cost $40,000. The centrifuge had a capacity of separating 1500 gallons of ionized volution per hour. Today, it is desire to build a centrifuge vs nh capacity of 4500 gallons per hour, but the cost index now is 500. Assuming a power-sizing exponent to reflect economies of scale, x, of 0.7, use the proper model to determine the approximate cost of the new reactor.

Explanation / Answer

(1)

For 3 hundred cu. ft = $2.84 * 3 = $8.52

For 197 huundred cu. ft = $1.213 * 197 = $238.961

For remaining 50 hundred cu. ft = $0.737 * 50 = $36.85

Total amount to be paid = $8.52 + $238.961 + $36.85 = $284.331

(2)

Average cost per 100 cu. ft = $284.331 / 250 = $1.137

2.

Scaling up of cost = (4500/1500)0.70 * $40,000 = $86,306.77

Updating of cost = 86,306.77 * 500/125 = $345,227.08

Approximate cost of new reactor = $345,227

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