Minimize the cost function c(x, y) = 8x2-xy+ 12y2 when there is a production constraint x+y=42....

 

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Minimize the cost function c(x, y) = 8x2-xy+ 12y2 when there is a production constraint x+y=42. Show that the optima are x =25, y = 17, and A* = 383. Interpret A* in the context of this cost minimization problem. Minimize the cost function c(x, y) = 8x2-xy+ 12y2 when there is a production constraint x+y=42. Show that the optima are x =25, y = 17, and A* = 383. Interpret A* in the context of this cost minimization problem.