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  3. Chapter 2: Differentiation of functions of one variable
  4. Applications 1
  5. Rate production process
  6. Exercise 1

Exercise 1

Consider the production function $P(t)=\sqrt{t}$. Determine the rate of production at $t=16$.
$\dfrac{1}{8}$
$4$
$\dfrac{1}{2}$
$\dfrac{1}{4}$
Consider the production function $P(t)=\sqrt{t}$. Determine the rate of production at $t=16$.
Antwoord 1 correct
Correct
Antwoord 2 optie
$4$
Antwoord 2 correct
Fout
Antwoord 3 optie
$\dfrac{1}{2}$
Antwoord 3 correct
Fout
Antwoord 4 optie
$\dfrac{1}{4}$
Antwoord 4 correct
Fout
Antwoord 1 optie
$\dfrac{1}{8}$
Antwoord 1 feedback
Correct: The rate of production is $P'(t)=\frac{1}{2\sqrt{t}}$. At $t=16$ this gives $P'(16)=\frac{1}{2\sqrt{16}}=\frac{1}{8}$.

Go on.
Antwoord 2 feedback
Wrong: The rate of production at $t=16$ is not $P(16)$.

See Rate production process
Antwoord 3 feedback
Wrong: The production rate is not equal to the elasticity.

See Rate production process and Elasticity.
Antwoord 4 feedback
Wrong: The rate of production cannot be found by taking the difference quotient with $t=0$ and $\Delta t=16$.

See Rate production process.