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maximum output

I need help with this problem:

(a) From table 6-1 constrcut a table similar to table 6-2 showing the total product, the marginal product, and the average product of lablor, as well as the output elasticity of lablr, when capital is kept constant at 4 units rather than at 1 unit. (b) Draw a figure similar to figure 6-4 showing the total product as well as the marginal and average products of labor from the results in part (a). (c) How do the results in parts (a) and (b) differ from those in Table 6-2 and Figure 6-4 in the text?

Table 6-1:

Captial (K) 6 10 24 31 36 40 39
5 12 28 36 40 42 40
4 12 28 36 40 40 36 Output (Q)
3 10 23 33 36 36 33
2 7 18 28 30 30 28
1 3 8 12 14 14 12

1 2 3 4 5 6
Labor (L)

Table 6-2:

(1) (2) (3) (4) (5)
Labor Output Marginal Average Output
#of or Product Product Elasticity
Workers total Product of Labor of Labor of Labor
0 0 - - -
1 3 3 3 1
2 8 5 4 1.25
3 12 4 4 1
4 14 2 3.5 0.57
5 14 0 2.8 0
6 12 -2 2 -1

Solution Preview

Here is the required table:

L TP MP AP Elasticity
0 0 N/A N/A N/A
1 12 12 12 1
2 28 16 14 1.14
3 36 8 12 0.67
4 40 4 10 0.4
5 40 0 8 0
6 36 -4 ...

Solution Summary

The maximum output in the case is determined.

$2.19