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Q.

Find the missing products in the following table :

Factor (L)TP_LMP_LAP_L
0000
11515
225
32516.66
41015
568813.60
Karnataka PUCKarnataka 2nd PUC Commerce Board 2025Subjective· 5mImportance★★★★★
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Missing products: L=2 → MP_L = 10, AP_L = 12.5; L=3 → TP_L = 50; L=4 → TP_L = 60.

The relationships (production and costs, Karnataka 2nd PUC) are:

  • Marginal Product: MP_L = TP at L − TP at (L−1)
  • Average Product: AP_L = TP_L / L

Working out each blank:

  • L = 1: TP = 15, MP = 15 − 0 = 15, AP = 15/1 = 15 (given, consistent).
  • L = 2: TP = 25. MP_L = 25 − 15 = 10. AP_L = 25/2 = 12.5.
  • L = 3: MP_L = 25 (given), so TP = TP(L=2) + MP = 25 + 25 = 50. Check AP = 50/3 = 16.66 ✓.
  • L = 4: MP_L = 10 (given), so TP = 50 + 10 = 60. Check AP = 60/4 = 15 ✓.
  • L = 5: TP = 68, MP = 68 − 60 = 8 ✓, AP = 68/5 = 13.60 ✓ (given, consistent). …

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