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1. A manufacturer produces its products at two locations. Let x and y be the number...

1. A manufacturer produces its products at two locations. Let x and y be the number of units produced at these two locations. The cost function is modeled by                                      .
C(x,y)=0.25x^2-25x+0.05y^2-12y+3000
Find the number of units that should be produced at each location to minimize the cost.

2. Given a surface f(x,y)=x^2+y^2-xy and a point (2,1,3) on the surface, find the slopes of the surface at the point in the x-direction and the y-direction.

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