Skip to content
Exercises · Q22
Q.

The following table gives the total product schedule of labour. Find the corresponding average product and marginal product schedules of labour.

LLTPLTP_L
00
115
235
350
440
548
Himachal HpboseTextbookSubjective· 3mImportance★★★★★
59% · 22/37 Questions
🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

This problem requires calculating the average product and marginal product of labor from a given total product schedule. We will use the definitions of average product as total product divided by labor, and marginal product as the change in total product from an additional unit of labor, to derive the complete schedules.

In economics, particularly in the theory of production, understanding how output changes with varying inputs is crucial. The total product of labor (TPLTP_L) measures the total quantity of output produced by a firm using a given amount of labor, assuming other inputs are held constant. It shows the overall productivity of the labor force.

However, to gain deeper insights into the efficiency and contribution of labor, we often look at two related concepts: Average Product of Labor (APLAP_L) and Marginal Product of Labor (MPLMP_L).

The Average Product of Labor (APLAP_L) tells us the output produced per unit of labor employed. It is calculated by dividing the total product by the number of labor units. Conceptually, APLAP_L indicates the average efficiency of each worker. If APLAP_L is rising, it suggests that, on average, each additional worker is contributing to an increase in the overall efficiency of the labor force. Conversely, a falling APLAP_L implies that the average output per worker is declining.

The Marginal Product of Labor (MPLMP_L) measures the additional output generated by employing one more unit of labor, while keeping all other inputs constant. It is calculated as the change in total product divided by the change in the number of labor units. MPLMP_L is particularly important because it reflects the contribution of the last worker hired. A positive MPLMP_L means that adding another worker increases total output, while a negative MPLMP_L indicates that adding another worker actually reduces total output, perhaps due to overcrowding or inefficiencies. The relationship between MPLMP_L and APLAP_L is also significant: when MPL>APLMP_L > AP_L, APLAP_L is rising; when MPL<APLMP_L < AP_L, APLAP_L is falling; and when MPL=APLMP_L = AP_L, APLAP_L is at its maximum.

We can now calculate the average product and marginal product schedules using the given total product schedule.

Average Product of Labor: APL=TPLLAP_L = \frac{TP_L}{L}

Marginal Product of Labor: MPL=ΔTPLΔLMP_L = \frac{\Delta TP_L}{\Delta L}

Here, ΔTPL\Delta TP_L represents the change in total product, and ΔL\Delta L represents the change in the number of labor units. Since the labor units (LL) increase by 1 in each step, ΔL=1\Delta L = 1, so MPL=TPL(L)−TPL(L−1)MP_L = TP_L(L) - TP_L(L-1).

Let's compute the values:

LLTPLTP_LAPL=TPL/LAP_L = TP_L / LMPL=ΔTPL/ΔLMP_L = \Delta TP_L / \Delta L
00--
11515/1=1515/1 = 15(15−0)/(1−0)=15(15-0)/(1-0) = 15

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.