TMI, a manufacturer of blank DVDs, has a monthly fixed cost of $14,200 and a variable cost of 70 cents/disc.

Find a function C that gives the total cost incurred by TMI in the manufacture of x discs/month, in dollars; C (x).

Question

Mathematics

Kaitlyn

15 February, 16:15

TMI, a manufacturer of blank DVDs, has a monthly fixed cost of $14,200 and a variable cost of 70 cents/disc.

Find a function C that gives the total cost incurred by TMI in the manufacture of x discs/month, in dollars; C (x).

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Answers (1)

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Kaylyn Calhoun · Answer 1

Answer: Therefore, the total cost incurred per month is;

C (x) = 14,200 + 0.7x dollars

Step-by-step explanation:

Given;

Fixed cost Cf = $14,200 per month

variable cost = 70cent/disc

Number of disc manufactured per month = x disc/month.

The total variable cost in a month can be given as;

Cv = 70cent/disc * x disc/month

Cv = 70x cent/month * 1/100cent/dollar

Cv = 0.7x dollar/month

Total cost C = Fixed cost + variable cost

C = Cf + Cv

Substituting the values, we have;

C (x) = 14,200 + 0.7x dollars/month

TMI, a manufacturer of blank DVDs, has a monthly fixed cost of $14,200 and a variable cost of 70 cents/disc.Find a function C that gives the total cost incurred by TMI in the manufacture of x discs/month, in dollars; C (x).

TMI, a manufacturer of blank DVDs, has a monthly fixed cost of $14,200 and a variable cost of 70 cents/disc.

Find a function C that gives the total cost incurred by TMI in the manufacture of x discs/month, in dollars; C (x).