For a hypothetical firm, the total cost of producing 5 units of a commodity is Rs. 310 and that of producing 8 units is Rs. 850. If the firm has to spend Rs. 50 even when there is no output, what will be the marginal cost of producing the 8th unit?
For a hypothetical firm, the total cost of producing 5 units of a commodity is Rs. 310 and that of producing 8 units is Rs. 850. If the firm has to spend Rs. 50 even when there is no output, what will be the marginal cost of producing the 8th unit?
Solution
Option 1 -> Rs. 50 is the fixed cost, not the marginal cost of the 8th unit.
Option 2 -> Change in TC from 5 to 8 units = 850 - 310 = Rs. 540 for 3 units. Average MC = 540/3 = Rs. 180 per unit.
Option 3 -> Rs. 270 would be incorrect as it doesn't match the calculation from the given data.
Option 4 -> Rs. 540 is the total change in cost for 3 units (6th, 7th, 8th), not the marginal cost of just the 8th unit.
Hence, Option 2: Rs. 180 -> Marginal cost is the additional cost of producing one more unit. From the data: TC at 8 units = Rs. 850, TC at 5 units = Rs. 310. Change in total cost = 850 - 310 = Rs. 540 for producing 3 additional units (6th, 7th, and 8th). Assuming constant marginal cost over this range, MC = 540 ÷ 3 = Rs. 180. Therefore, the marginal cost of producing the 8th unit is Rs. 180. -> correct
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