$\text { A calf that weighs } 75 \text { pounds at birth gains weight at the rate } \frac { d w } { d t } = k ( 1300 - w ) \text {, }$

question 12

Multiple Choice

$\text { A calf that weighs } 75 \text { pounds at birth gains weight at the rate } \frac { d w } { d t } = k ( 1300 - w ) \text {, }$ where $w$ is weight in pounds and $t$ is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model $w = 1300 - 1225 e ^ { - 0.8 t }$ . Round your answer to two decimal places.

• A) \(8.17\) years
• B) \(2.88\) years
• C) \(0.92\) year
• D) 1 year
• E) \(0.32\) year

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Definitions:

Legal Interest Rate

The maximum rate of interest that lenders can legally charge borrowers, often set by law or regulation.

Economic Profits

Profits that exceed the opportunity costs of all resources used by a firm, including both explicit and implicit costs.

Accounting Profits

The financial gain calculated by subtracting total explicit costs from total revenue, as recorded in the financial statements.

Explicit Costs

Costs that involve direct monetary payment by a business to purchase or maintain resources.