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9. You are operating a widget factory, and the total cost of producing y widgets, denoted TC (y), is TC (y) = 2y2 + 10 (a) Calculate your: total variable cost (TVC (y)); total fixed cost (TFC (y)); average variable cost (AVC (y)); average fixed cost (AFC (y)); average total cost (ATC (y)) and marginal cost (MC (y)). (b) Prove that the MC (y) curve intersects the ATC (y) curve at its minimum. 10. You are operating a widget factory, and the total cost of producing y widgets, denoted TC (y), is TC (y) = 5y2 + 20y + 100 (a) Calculate your: total variable cost (TVC (y)); total fixed cost (TFC (y) ); average variable cost (AVC (y)); average fixed cost (AFC (y) ); average total cost (ATC (y)) and marginal cost (MC (y)). (b) Is the MC (y) curve associated with this total cost function increasing in y, decreasing in y, or constant. Explain your reasoning