3. The short-run cost function of a rm is given by TC : 200 + 559', where TC is total cost and q is the total quantity of output, both measured in thousands. (a) What is the company's xed cost? (b) If the company produced 100 (in thousands), what would be its average variable cost? What is the average variable cost as a function of q? (c) What is the marginal cost of production when q : 100 (in thousands) the cost of producing 1 more unit (in thousands)? What is the marginal cost as a function of q? (d) What would be its average xed cost when q = 100 (in thousands)? What is the average xed cost as a function of (1? (e) Suppose the company borrows money and automates its factory. Its xed cost rises by $50 (thousand)J but its variable cost falls to $45 q. What is the new average cost function? How much output does the rm need to produce in order to make this automation protable (for its average cost to fall)