A firm has the production function $f(x 1 , x 2 ) = 0.50 1 x 0.10 2 .The isoquant on which output is 40 1/10 has the equationA) x 1 /x 2 = 5.B) x 2 = 40x 10 1 .C) x 2 =40x - 5 1 .D) x 2 = 40x - 0.10 1 .E) x 1 =0.10x - 0.90 2 .

Question

A firm has the production function $f(x 1 , x 2 ) = 0.50 1 x 0.10 2 .The isoquant on which output is 40 1/10  has the equationA) x 1 /x 2  = 5.B) x 2  = 40x 10 1 .C) x 2  =40x - 5 1 .D) x 2  = 40x - 0.10 1 .E) x 1  =0.10x - 0.90 2 .

shahd abu ghzaleh · Accepted Answer

Final Answer : C, Explanation :   The isoquant equation is found by setting the production function equal to the desired output level. In this case, we have:  f ( x 1 , x 2 ) = 4 0 1 / 10 f(x_1, x_2) = 40^{1/10} f ( x 1 ​ , x 2 ​ ) = 4 0 1/10 x 1 0.50 x 2 0.10 = 4 0 1 / 10 x_1^{0.50}x_2^{0.10} = 40^{1/10} x 1 0.50 ​ x 2 0.10 ​ = 4 0 1/10 x 2 = 40 x 1 − 5 x_2 = 40x_1^{-5} x 2 ​ = 40 x 1 − 5 ​

A firm has the production function $f(x₁, x₂) =^0.50₁x^0.10₂.The isoquant on which output is 40^1/10 has the equation

A) x₁/x₂ = 5.
B) x₂ = 40x¹⁰₁.
C) x₂ =40x^-⁵₁.
D) x₂ = 40x^-^0.10₁.
E) x₁ =0.10x^-^0.90₂.

Definitions

Learning Objectives

Learning Objectives

Related questions

A firm has the production function $f(x1, x2) =0.501x0.102.The isoquant on which output is 401/10 has the equationA) x1/x2 = 5.B) x2 = 40x101.C) x2 =40x-51.D) x2 = 40x-0.101.E) x1 =0.10x-0.902.

Definitions

Learning Objectives

Learning Objectives

Related questions

A firm has the production function $f(x₁, x₂) =^0.50₁x^0.10₂.The isoquant on which output is 40^1/10 has the equation

A) x₁/x₂ = 5.
B) x₂ = 40x¹⁰₁.
C) x₂ =40x^-⁵₁.
D) x₂ = 40x^-^0.10₁.
E) x₁ =0.10x^-^0.90₂.