Please solve the following questions

Table A Quantity Quantity Average total Price demanded produced cost Marginal cost (dollars per unit) (units) (units) (dollars) (dollars) 26 24 18.00 8.00 22 12.00 6.00 20 10.66 8.00 18 ONOUAWNNE 10.50 10.00 16 11.20 14.00 14 12.66 20.00 12 15.14 30,00 10 23.25 80.00 3. Table A illustrate the demand and costs information of a monopolistic competitive firm. a. If the firm maximizes profit, what will be the level of output and price? Use a table to illustrate your answer. b. How much economic profit is the firm making? c. Is the firm operating in a short run or long run? Why?The following production function describes the output of a local Pittsburgh mime troupe's performances given the labor of its performers: q = 217 where q denotes the hours of performances provided and I denotes hours of labor input by performers. The troupe is a price-taker both for performances (which sell for P) and for performers (which can be hired at the wage rate of w per hour). What is the total cost function [C (q)] for the troupe? b. Solve for the profit maximizing number of performer hours [(P, w)], i.e., the troupe's demand for labor. What is the profit function [x(P, w)] for this troupe? Describe the homogeneity of the profit function with respect to P and w. C. What is the supply function [q(P, w)] for the troupe's mime performances? d Use the envelope theorem (Shephard's Lemma) and the profit function you found in part (b) to double check your derivation of the troupe's demand for labor function [1(P, w)].4. Suppose Slava's utility function is U(:1:1,3:2) = (3:1)4 (3:2) and his budget constraint is plwl + p232 = I. (a) Find the formula for an indifference curve that yields some utility c. Graph it. (b) Solve for the MRS at any bundle ($1,232) (using marginal utilities). (c) Now, calculate MRS at any bundle ($1,222) by directly evaluating the slope of an indifference curve and show that your answer is the same as in part (b). (Hint: After taking the derivative of an arbi- trary indifference curve, think about what \"c\" means and substitute appropriately). (d) Briey interpret how the MRS changes along an indifference curve