Ken Is 6 Feet Tall and Is Walking Away from a Streetlight

question 205

Multiple Choice

Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 4.1 feet per second. Find a function, d(t) , which gives the distance Ken is from the streetlight in terms of time. Find a function, S(d) , which gives the length of Ken's shadow in terms of d. Then find $( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } )$

• A)
• \(( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 2.26 \mathrm { t }\)
• B)
• \(( S \circ \mathrm { d } ) ( \mathrm { t } ) = 6.93 \mathrm { t }\)
• C)
• \(( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 3.9 \mathrm { t }\)
• D)
• \(( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 3.08 \mathrm { t }\)

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Definitions:

Optimal Output

The level of production that maximizes a firm's profit or minimizes its cost, given its production function and market conditions.

Price to Clear

Price to Clear is the market price at which the quantity of goods supplied is equal to the quantity of goods demanded, thereby clearing the market.

Profit Per Unit

The revenue obtained per unit of a product or service sold, minus the cost per unit.

Optimal Output

The level of production that generates the highest possible profit for a firm, taking into account costs and revenue.