A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is

tracking its average cost to make x units using fx) - -

200+3.10x

3. Which statement is true?

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units

produced increases.

The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced

increases.

The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units

produced increases.

The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced

increases.

Question

Mathematics

Antonio

18 August, 05:07

A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is

tracking its average cost to make x units using fx) - -

200+3.10x

3. Which statement is true?

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units

produced increases.

The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced

increases.

The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units

produced increases.

The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced

increases.

+2

Answers (1)

Know the Answer?

Sienna Harper · Answer 1

a. The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

Step-by-step explanation:

A certain company has a fixed cost of $200 per day. Then it costs the company $3.10 per unit to make its products.

So, the total cost will be,

Then average cost f (x) will be,

As this an equation of hyperbola (rectangular hyperbola).

Its vertical asymptote is (equating denominator to zero),

i. e y axis.

Its horizontal asymptote is (leading coefficient of numerator divided by leading coefficient of denominator),

As x approaches infinity, f (x) approaches 3.10.

Therefore, option a is correct.