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Question

The following table shows the total cost schedule of a competitive firm. It is given that the price of the good is Rs 10. Calculate the profit at each output level. Find the profit maximising the level of output.
Quantity Sold TC (Rs)
0 5
1 15
2 22
3 27
4 31
5 38
6 49
7 63
8 81
9 101
10 123

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Solution

Quantity Sold (units) Price (Rs ) TC (Rs ) TR = P × Q Profit = TR − TC (Rs )
0 10 5 10 × 0 = 0 0 − 5 = − 5
1 10 15 10 × 1 = 10 10 − 15 = −5
2 10 22 10 × 2 = 20 20 − 22 = −2
3 10 27 10 × 3 = 30 30 − 27 = 3
4 10 31 10 × 4 = 40 40 − 31 = 9
5 10 38 10 × 5 = 50 50 − 38 = 12 −− Profit maximising output
6 10 49 10 × 6 = 60 60 − 49 = 11
7 10 63 10 × 7 = 70 70 − 63 = 7
8 10 81 10 × 8 = 80 80 − 81 = −1
9 10 101 10 × 9 = 90 90 − 101 = −11
10 10 123 10 × 10 = 100 100 − 123 = −23

Profit maximising output is where the difference between TR and TC is the maximum. This exists at 5 units of output, where firm is earning profit of Rs 12.

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