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VARVARA [1.3K]
3 years ago
10

Please help me out.

Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

  a) y = 10x +500

  b) $500

  c) $15 for 100; $10.50 for 1000

Step-by-step explanation:

<h3>a)</h3>

We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...

  y = 10x +b

For 100 units, this is ...

  1500 = 10(100) +b

  500 = b . . . . . . . . subtract 1000

The cost function rule is ...

  y = 10x +500

__

<h3>b)</h3>

The fixed cost is the cost of producing 0 units:

  y = 10(0) +500

  y = 500 . . . . . . . the fixed cost in dollars

__

<h3>c)</h3>

The average cost (ac) of producing n units is the total cost divided by n:

  ac(n) = (10n +500)/n = 10 +500/n

The average cost for 100 units is

  ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units

The average cost for 1000 units is ...

  ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units

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