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?

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The Answer of 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?

Yummy Potato Chip Company Has Manufacturing Plants in N C(q1,q2)=2q12+q1q2+q22+420C \left( q _ { 1 } , q _ { 2 } \right) = 2 q _ { 1 } ^ { 2 } + q _ { 1 } q _ { 2 } + q _ { 2 } ^ { 2 } + 420C(q1​,q2​)=2q12​+q1​q2​+q22​+420

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