Exercise 1 | Wiskunde op Tilburg University

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

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.