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The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often modeled by the Cobb-Douglas production function Q= CLK°. When a + b=1, the case is called constant returns to scale. Suppose 4 ,b=-, and c= 40. Complete parts (a) and (b). Q= 1224, a= 5' a. Find the rate of change of capital with respect labor, First substitute the given values of Q, a, b, and c into the production function. (Type an equation.)

The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often modeled by the Cobb-Douglas production function Q= CLK°. When a + b=1, the case is called constant returns to scale. Suppose 4 ,b=-, and c= 40. Complete parts (a) and (b). Q= 1224, a= 5' a. Find the rate of change of capital with respect labor, First substitute the given values of Q, a, b, and c into the production function. (Type an equation.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often modeled by the Cobb-Douglas production function Q = CL K°. When a + b = 1, the case is called constant returns to scale. Suppose 1 4 Q= 1224, a = b ==, and c= 40. Complete parts (a) and (b). ..... dK First substitute the given values of Q, a, b, and c into the production function. dL a. Find the rate of change of capital with respect to labor, (Type an equation.)
Transcribed Image Text:The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often modeled by the Cobb-Douglas production function Q = CL K°. When a + b = 1, the case is called constant returns to scale. Suppose 1 4 Q= 1224, a = b ==, and c= 40. Complete parts (a) and (b). ..... dK First substitute the given values of Q, a, b, and c into the production function. dL a. Find the rate of change of capital with respect to labor, (Type an equation.)
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