Dan Hein Owns the Mineral and Drilling Rights to a 1,000

question 34

Multiple Choice

Dan Hein owns the mineral and drilling rights to a 1,000 acre tract of land.If he drills a well and does not strike oil his net loss will be $50,000, but if he drills a well and strikes oil his net gain will be $100,000.If he does not drill, his loss is the cost of the mineral and drilling rights, which amount to $1000.For Dan's decision problem, the variable "oil in the tract" is one of the ___________.

• A)payoffs
• B)decision alternatives
• C)states of nature
• D)revised probabilities
• E)prior probabilities

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Definitions:

Simplify

The process of reducing an expression to its simplest form, making it easier to understand or solve.

\(8^x\cdot 8^{x-1}\)

An expression that can be simplified to \(8^{2x-1}\) using the properties of exponents.

\(10,000(1.07)^{4t}\)

An exponential growth equation, where \(10,000\) is the initial quantity and \(1.07\) is the growth factor applied every period \(t\), scaled by a factor of 4.

\(10,000(1.09)^{3t}\)

An exponential function, often used in finance to calculate compounded interest or investment growth over time.