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Rick is starting a new company and needs to invest capital (x) and hire workers (y). The cost function for his company is: Cost(x,y) =

Rick is starting a new company and needs to invest capital (x) and hire workers (y).

The cost function for his company is:

Cost(x,y) = 450 + 10x + 4y + 2.5x^2 + y^2 - 4xy

Find the optimal mix of x and y. What is the total cost? Be sure to check SOC.

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