Cost A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let
Find the number of units that should be produced at each location to minimize the cost.
To calculate: The number of units that should be produced at each location to minimize the
cost for cost function
Given Information:
The provided cost function is
Formula used:
Method of Lagrange multipliers,
If the function
Steps to determine the minimum or maximum of the function
1. Solve the system of equations,
2. Determine the value of the function
The largest value gives the maximum value of function
Calculation:
Consider the function,
Since 1000 units of fine paper can be produced at two locations, where
So,
Now, the new function
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