we are looking at a company that offers its goods in a market with well-functioning competition. The company's cost function C (x) can be written: C (x) = 0.5cx ^ 2 + F Where x is production, F is fixed costs and c is a given positive number. a) calculate the marginal cost (marginal cost) for this cost function, and explain the concept of marginal cost. b) Does the cost function express a constant, decreasing or increasing scale return? The company's profit can be expressed by the profit function Pi (x) Pi (x) = Px-C (x) = Px-0.5 ^ 2-F Where P is the product price Assume your business maximizes profits. C) find your company's customization. d) Find an expression for the company's profit as a function of the product price P, parameter c and fixed costs F. Show the effects on optimal production and on the company's profits from that e) Product price P increases f) The product price P and the parameter c both increase by the same percentage. g) Fixed costs F increase.