Choose the One Alternative That Best Completes the Statement or Answers

question 63

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 40 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

• A) width \(= \frac { 40 } { \pi + 4 } \approx 5.6\), length \(= 11.2\)
• B) width \(= \frac { 80 } { \pi + 8 } \approx 7.2\), length \(= 10.8\)
• C) width \(= \frac { 80 } { \pi + 4 } \approx 11.2\), length \(= 14.4\)
• D) width \(= \frac { 80 } { \pi + 4 } \approx 11.2\), length \(= 5.6\)

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Definitions:

Voluntary Exchange

An economic transaction where all parties involved agree to the trade, believing they will benefit from the exchange.

Relative Scarcity

The economic concept referring to the limited availability of resources in comparison to the unlimited wants and needs of consumers.

Equilibrium Price

The price at which the quantity of a good or service demanded by consumers equals the quantity supplied by producers, creating a market balance.

Equilibrium Quantity

The supply of goods or services equals the demand for them at the price where the market is in equilibrium.