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Exercises · Q23
Q.

The following table gives the average product schedule of labour. Find the total product and marginal product schedules. It is given that the total product is zero at zero level of labour employment.

LLAPLAP_L
12
23
34
44.25
54
63.5
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Average product tells us output per worker; multiplying by the number of workers recovers total product, and the change in total product between successive labour units gives marginal product.

The average product of labour, APLAP_L, measures output per unit of labour employed. If you know how much each worker produces on average, you can work backwards to find the total output: simply multiply the average by the number of workers. Once you have the total product schedule, the marginal product—the additional output from hiring one more worker—falls out as the difference between consecutive total product values.

TPL=APL×LTP_L = AP_L \times L

MPL=TPL−TPL−1MP_L = TP_L - TP_{L-1}

Start with the first relationship. At L=1L=1, average product is 2, so total product is 2×1=22 \times 1 = 2. At L=2L=2, average product is 3, so total product is 3×2=63 \times 2 = 6. Continue this way for each labour level:

LLAPLAP_LTPL=APL×LTP_L = AP_L \times LMPL=ΔTPLMP_L = \Delta TP_L
0—0—
1222
2364
34126
44.25175
54203
63.5211

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