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A Company Has the Cobb-Douglas Production Function , Where

question 107

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A company has the Cobb-Douglas production function A company has the Cobb-Douglas production function   , where x is the number of units of labor, y is the number of units of capital, and z is the units of production. Suppose labor costs $200 per unit, capital costs $150 per unit, and the total cost of labor and capital is limited to $300,000. Find the number of units of labor and the number of units of capital that maximize production. ​ A) 1,500 units of labor; 2,000 units of capital B) 1,200 units of labor; 2,000 units of capital C) 1,500 units of labor; 400 units of capital D) 1,200 units of labor; 400 units of capital E) 12,000 units of labor; 4,000 units of capital , where x is the number of units of labor, y is the number of units of capital, and z is the units of production. Suppose labor costs $200 per unit, capital costs $150 per unit, and the total cost of labor and capital is limited to $300,000. Find the number of units of labor and the number of units of capital that maximize production. ​


Definitions:

Independent Contractor

An individual or entity contracted to perform work for another entity as a non-employee, under specific terms.

Unusually Hazardous

Activities or conditions that carry an exceptionally high risk of causing harm or damage.

Shielded

Protected or safeguarded from potential harm or interference.

Inferred

Something concluded or deduced based on evidence and reasoning rather than explicit statements.

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