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Table 17-1
Imagine a Small Town in Which Only Two

question 170

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Table 17-1
Imagine a small town in which only two residents, Sydney and Matthew, own wells that produce safe drinking water. Each week Sydney and Matthew work together to decide how many gallons of water to pump. They bring the water to town and sell it at whatever price the market will bear. To keep things simple, suppose that Sydney and Matthew can pump as much water as they want without cost so that the marginal cost of water equals zero. The town's weekly demand schedule and total revenue schedule for water is shown in the following table:


 Quantity  (Gallons)   Price  (Dollars per gallon)   Total Revenue and Total Profit  (Dollars)  048090443,960180407,200270369,7203603211,5204502812,6005402412,9606302012,6007201611,520810129,72090087,20099043,9601,08000\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Quantity } \\\text { (Gallons) }\end{array} & \begin{array} { c } \text { Price } \\\text { (Dollars per gallon) }\end{array} & \begin{array} { c } \text { Total Revenue and Total Profit } \\\text { (Dollars) }\end{array} \\\hline 0 & 48 & 0 \\\hline 90 & 44 & 3,960 \\\hline 180 & 40 & 7,200 \\\hline 270 & 36 & 9,720 \\\hline 360 & 32 & 11,520 \\\hline 450 & 28 & 12,600 \\\hline 540 & 24 & 12,960 \\\hline 630 & 20 & 12,600 \\\hline 720 & 16 & 11,520 \\\hline 810 & 12 & 9,720 \\\hline 900 & 8 & 7,200 \\\hline 990 & 4 & 3,960 \\\hline 1,080 & 0 & 0 \\\hline\end{array}
-Refer to Table 17-1. What is the socially efficient quantity of water?


Definitions:

Premium

An amount paid in addition to a standard rate or principal, often associated with insurance policies or bond prices over par value.

Discount

A reduction applied to the price of goods, services, or securities, either for promotional purposes or to reflect the present value of future cash flows.

Future Cash Flows

The amount of money, both incoming and outgoing, that is expected to be generated or expended in the future.

Valuing Bonds

The process of determining the present value of future cash flows from a bond, influenced by interest rates, the bond's coupon rate, and time to maturity.

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