A Meteorologist Measures the Atmospheric Pressure P (In Kilograms Per $\text { when } h = 10 \text { using the relation } \ln P = - 0.1499 h + 10.3016 \text {. Round your answer to }$

question 111

Multiple Choice

A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers) . The data are shown below. Find the rate of change of the pressure with Respect to altitude $\text { when } h = 10 \text { using the relation } \ln P = - 0.1499 h + 10.3016 \text {. Round your answer to }$ one decimal place. $\begin{array}{|c|c|c|c|c|c|}\hline h & 0 & 5 & 10 & 15 & 20 \\\hline p & 28,085 & 15,169 & 6,458 & 3,371 & 1405 \\\hline\end{array}$

• A) \(P ^ { \prime } ( 10 ) \approx - 858.3\)
• B) \(P ^ { \prime } ( 10 ) \approx - 997.1\)
• C) \(P ^ { \prime } ( 10 ) \approx - 2,710.3\)
• D) \(P ^ { \prime } ( 10 ) \approx - 366.8\)
• E) \(P ^ { \prime } ( 10 ) \approx - 2,008.2\)

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Definitions:

Short-Run Marginal Costs

The increase in total cost that arises from producing one additional unit of output when some inputs are considered fixed in the short term.

Market Price

The current price at which a good or service can be bought or sold on the open market, determined by supply and demand forces.

Profit-Maximizing Firm

A company that operates with the objective of making the highest possible profit.

Opportunity Cost

The cost of forgoing the next best alternative when making a decision, representing the benefits one misses out on.