A firm has an order of 10,000 units of its product and has two plants at which to manufacture these units.Let
be the number of units to be produced at the first plant and
denote the number to be manufactured at the second plant.It is known that the cost function is given by
C = 48
+ 3
+ 25,000.Use the method of Lagrange multipliers to determine how many units should be produced at each plant to minimize this cost function.

Question

A firm has an order of 10,000 units of its product and has two plants at which to manufacture these units.Let  
be the number of units to be produced at the first plant and  
denote the number to be manufactured at the second plant.It is known that the cost function is given by
C = 48  
+ 3  
+ 25,000.Use the method of Lagrange multipliers to determine how many units should be produced at each plant to minimize this cost function.

Quizplus · Accepted Answer

The Answer of A firm has an order of 10,000 units of its product and has two plants at which to manufacture these units.Let  
be the number of units to be produced at the first plant and  
denote the number to be manufactured at the second plant.It is known that the cost function is given by
C = 48  
+ 3  
+ 25,000.Use the method of Lagrange multipliers to determine how many units should be produced at each plant to minimize this cost function.

A Firm Has an Order of 10,000 Units of Its