For the production function Q = min{4L,3K}, what bundle of inputs is on the same isoquant as (L=4,K=4)?
(a.) (L=2,K=3)
(b.) (L=4, K=1)
(c.) (L=2, K=1)
(d.) (L=6,K=2)
Q = min{4L,3K} and we have to find the bundle of inputs which is on the same isoquant with (L=4,K=4).
The input bundle which produces the same output(Q) as (L=4,K=4) will be on the same isoquant with it.
First of all we have to find out the output produced by the input bundle (L=4,K=4) which is
Q = min{4L,3K}= min{4*4, 3*4} = min{16, 12} = 12
Now we will check each option particularly whether it is producing the same output or not.
a) (L=2, K=3)
Q=min{4L,3K}= min{4*2, 3*3}= min{8,9}= 8
b) (L=4, K=1)
Q=min{4L,3K}= min{4*4, 3*1}= min{16, 3}= 3
c) (L=2, K=1)
Q= min{4L,3K}= min{4*2, 3*1}= min{8, 3}= 3
d) (L=6, K=2)
Q= min{4L,3K}= min{4*6, 3*2}= min{24, 6}= 6
As we can see none of the options are producing 12 units of output. According to this question none of the option is correct.
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