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A video game developer hires two types of workers to develop games: game coders (x₁) and game testers (x₂). The developer produces games according to the following production function: y=x₁ ¹/² x₂ ¹/²,where y stands for the number of games developed per month, and x1 and x2 stand for, respectively, the number of programmers and testers hired per month. Because both types of workers freelance using their own tools, the video game developer does not require any other inputs. The markets for both programmers and testers are competitive. Suppose the game developer wants to produce 12 games this month. Further, assume that the company has already signed a contract to hire 9 programmers and, due to contracting regulations, the number of programmers cannot be changed until next month. Let the monthly salary of a programmer be ω₁= 2,700, and let the monthly salary of a game tester be ω₂= 2,200. If minimizing costs while producing 12 games in the short run, the firm's total cost will equal $ _______