1.

Let the production function of a firm be : Q=2L^(2)K^(2). Find out the maximum possible output that the firm can produce with 5 units of L and 2 units of K. What is the maximum possible output that the firm can produce with zero unit of L and 10 units of K ?

Answer»

Solution :Maximum POSSIBLE OUTPUT with 5 units of L and 2 units of K
Given : `Q=2L^(2)K^(2)` and `L=5` units,`K=2` units
PUTTING the VALUES of L and K in the given production FUNCTION, we get :
`Q=2(5)^(2) (2)^(2) =200` units
Maximum possible output with 0 unit of L and 10 units of K
Given : `Q=2L^(2)K^(2)` and `L=0` unit, `K=10` units
Putting the values of L and K in the given production function, we get:
`Q=2(0)^(2) (10)^(2)=0` unit.


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