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Question of 37
Q.

Find the missing products of the following table.

Factor 1TPMP₁AP₁
0000
110-10
224-12
3401613.33
4-10-
5-611.2
65719.5
Karnataka PUCKarnataka 2nd PUC Commerce Board 2020Subjective· 5mImportance★★★★★
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Missing values: MP₁ = 10, MP₂ = 14, TP₄ = 50, AP₄ = 12.5, TP₅ = 56.

We use two relationships: marginal product MPn=TPn−TPn−1MP_n = TP_n - TP_{n-1} and average product APn=TPn/nAP_n = TP_n / n.

  • Unit 1: MP1=TP1−TP0=10−0=10MP_1 = TP_1 - TP_0 = 10 - 0 = 10.
  • Unit 2: MP2=TP2−TP1=24−10=14MP_2 = TP_2 - TP_1 = 24 - 10 = 14.
  • Unit 4: TP4=TP3+MP4=40+10=50TP_4 = TP_3 + MP_4 = 40 + 10 = 50; AP4=TP4/4=50/4=12.5AP_4 = TP_4/4 = 50/4 = 12.5.
  • Unit 5: TP5=TP4+MP5=50+6=56TP_5 = TP_4 + MP_5 = 50 + 6 = 56 (check: AP5=56/5=11.2AP_5 = 56/5 = 11.2 ✓).
  • Unit 6 (check): MP6=57−56=1MP_6 = 57 - 56 = 1 ✓ and AP6=57/6=9.5AP_6 = 57/6 = 9.5 ✓.

The completed table:

| Factor 1 | TP | MP₁ | AP₁ | …

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