Question 3 (20 points) A lawnmower operates in a perfectly competitive industry and its total costs are given by: T001) = 3g2 + 18g, where 9* denotes the number of lawns mowed. (a) (2) What is the rm's marginal cost? (b) (3) What is the rm's average costs? Does the rm have increasing, constant, or decreasing returns to scale? (c) (2) Graph the marginal and average cost curves on the same set of axes. (d) (3) What is the price beneath which this lawnmower would choose to shut down? (6) (4) If the market price of a mowed lawn is $102 (1), how many lawns will this rm mow? What is the rm's average cost at that level of output? How does it compare to the market price? (f) (6) Find an expression that denotes this rm's prots as a function of the market price (7r(p)). Your answer should depend on p and otherwise contain only numerical constants. Hint: your answer should be a piecewise function (see part (d)) and you will need to solve for supply as a general function of the market price