The Cobb-Douglas production function for a company is given by P(k,l)= 163

where P is the monthly production value when k is the number of units of capital and l is the number of units of labor.Suppose that capital costs $105 per unit,labor costs $70 per unit,and the total cost of capital and labor is limited to $152,250.Use Lagrange Multipliers to write the system of equations you would use to find the number of units of capital and labor that maximize production.

Question

The Cobb-Douglas production function for a company is given by P(k,l)= 163  
  
where P is the monthly production value when k is the number of units of capital and l is the number of units of labor.Suppose that capital costs $105 per unit,labor costs $70 per unit,and the total cost of capital and labor is limited to $152,250.Use Lagrange Multipliers to write the system of equations you would use to find the number of units of capital and labor that maximize production.

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The Answer of The Cobb-Douglas production function for a company is given by P(k,l)= 163  
  
where P is the monthly production value when k is the number of units of capital and l is the number of units of labor.Suppose that capital costs $105 per unit,labor costs $70 per unit,and the total cost of capital and labor is limited to $152,250.Use Lagrange Multipliers to write the system of equations you would use to find the number of units of capital and labor that maximize production.

The Cobb-Douglas Production Function for a Company Is Given by P(k,l)=