The production function for a company is , where P is the amount produced given x units of labor and y units of equipment. Each unit of labor costs $800 and each unit of equipment costs $400. Assuming the goal of the company is to minimize cost given a fixed production goal of 9000 units produced, what is the meaning of the Lagrange multiplier ?
A)The additional units that can be produced if the budget is increased by $1
B)The amount it would cost the company to produce one more unit
C)The additional units of labor allowed if the budget is increased by $1
D)The amount it would cost the company to obtain one additional unit of equipment

Question

The production function for a company is  , where P is the amount produced given x units of labor and y units of equipment. Each unit of labor costs $800 and each unit of equipment costs $400. Assuming the goal of the company is to minimize cost given a fixed production goal of 9000 units produced, what is the meaning of the Lagrange multiplier  ?
A)The additional units that can be produced if the budget is increased by $1 
B)The amount it would cost the company to produce one more unit 
C)The additional units of labor allowed if the budget is increased by $1 
D)The amount it would cost the company to obtain one additional unit of equipment

Quizplus · Accepted Answer

The Answer of The production function for a company is  , where P is the amount produced given x units of labor and y units of equipment. Each unit of labor costs $800 and each unit of equipment costs $400. Assuming the goal of the company is to minimize cost given a fixed production goal of 9000 units produced, what is the meaning of the Lagrange multiplier  ?
A)The additional units that can be produced if the budget is increased by $1 
B)The amount it would cost the company to produce one more unit 
C)The additional units of labor allowed if the budget is increased by $1 
D)The amount it would cost the company to obtain one additional unit of equipment

The Production Function for a Company Is , Where