Q.19 The average cost of producing 10 units is Rs 30, while the average cost of producing 20 units is Rs 20. Find the average cost of producing 30 units.
{Hint : Find Fixed cost. TC of 10 units = Rs 300, TC of 20 units = Rs 400, VC = Rs 10/ unit
Fixed cost = TC = FC + VC (10* 10) = 300 = FC + 100 = FC = 200. Thus, AC of producing 30 units will be Rs 16.67}
Given :
Average cost of producing 10 units = Rs 30
Average cost of producing 20 units = Rs 20.
Average cost "= \\frac{Total\\space cost } {Quantity}"
Total cost "= Average \\space cost \u00d7 Quantity"
Total cost at 10 units"= 30 \u00d7 10 = 300"
Total cost at 20 units "= 20 \u00d7 20 = 400"
Variable cost is that cost which changes with output.
Therefore variable cost = 10 per unit
"TC = TFC + TVC"
"TC = TFC + VC (Q)"
TC (at 10 units) = "TFC + 10(10) = 300"
"TFC = 200"
TC of producing 30 units "= TFC + TVC = 200 + 10(30) = 200 + 300 = 500"
AC of producing 30 units"= \\frac{500}{30}"
"= 16.66"
Comments
Leave a comment