Use Lagrange Multipliers to Find the Minimum Value of the Function

Short Answer

Use Lagrange multipliers to find the minimum value of the function subject to the given constraints. $f ( x , y , z , t ) = 5 x + 5 y + 5 z + 5 t , \quad 5 \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + t ^ { 2 } \right) = 4$