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Worked Examples · Example 5

Q.A company's total cost function is C(x)=2500+45xC(x) = 2500 + 45x, where xx is the number of units produced.

(i) Identify the fixed cost and the variable cost per unit.
(ii) Find the total cost of producing 8080 units.
(iii) Find the average cost per unit at that output level.
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  1. Fixed and variable cost. C(x)=2500+45xC(x) = 2500 + 45x is linear in xx (intercept 25002500, slope 4545). The fixed cost is the cost incurred even at zero output, C(0)=2500C(0)=2500, i.e. ₹2,500. The variable cost per unit is the coefficient of xx, i.e. ₹45 per unit.
  2. Total cost of 80 units.

    C(80)=2500+45(80)=2500+3600=₹6,100C(80) = 2500 + 45(80) = 2500+3600 = ₹6{,}100

  3. Average cost per unit. C‾(80)=C(80)80=610080=₹76.25\overline{C}(80) = \frac{C(80)}{80} = \frac{6100}{80} = ₹76.25 …

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