Yummy Potato Chip Company Has Manufacturing Plants in N $C \left( q _ { 1 } , q _ { 2 } \right) = 2 q _ { 1 } ^ { 2 } + q _ { 1 } q _ { 2 } + q _ { 2 } ^ { 2 } + 420$

Essay

Yummy Potato Chip Company has manufacturing plants in N.Y.and N.J.The cost of manufacturing depends on the quantities (in thousand of bags), q₁ and q₂, produced in the N.Y.and N.J.factories respectively.Suppose the cost function is given by $C \left( q _ { 1 } , q _ { 2 } \right) = 2 q _ { 1 } ^ { 2 } + q _ { 1 } q _ { 2 } + q _ { 2 } ^ { 2 } + 420$ (a)Find $C ( 10,25 )$ (b)By comparing the terms $2 q _ { 1 } ^ { 2 }$ and $q _ { 2 } ^ { 2 }$ in the above expression, the manager concluded that it is more expensive to produce in the N.Y.factory.Will shifting all the production to the N.J.factory minimize the production cost?