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Y = 10*root(L) - 2L
MPL = {5/root(L)} - 2
for optimal production, he would equate VMPL = w (wage)
(a) P*MPL = w
{5/root(L)} - 2 = w/p
Now as w = 0,
{5/root(L)} - 2 = 0
or L = 25/4 ....this is optimal amt of labor..but as farmer has only 4 units of labor, he would employ all of them, thus equilibrium level of output:
Y = 12
(b) If govt imposes an income tax at the rate of 10%, i think there should not be any effect on output because the farmer faces no cost and all he concerns about output (price taking farmer). There is no point in reducing output.
(c) procedure same as part (a).. but here Y = 3... So at any given price level, he will not adapt this technology.
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