please solve the attached questions

mountWM You have been hired by Kia as manager for its Paldstan operations. Assume following is the short-run production function at their asserolilyr plant outside Karachi: 0 = IIILz - 0.5 l.El where L is 1ttariahle input labor. Q is output of l[Jars assembled I. Find the ranges of the three stages of production. (2 Marks) h. Demonstrate the relationship between Total Production. Marginal Product and Averagel'roduct in a hypothetical graph and clearlyr label the three stages as per the 1tl'alues of Lyon observed in {a} above [2 Marks] c. At the end of the year it is expected that output will double with purchase ofrteutr equipment and machinery. The production function is estimated to he Q - 501.3%!\" where L is labor and K is capital. Suppose initial L, I 1 and [(1 I 1. When inputs are in increasedto L; I: 2 and K;- 2, do you observe increasing, decreasing or constant returns to scale? {1 Hart} Question 02 Maximum Marks - 07 Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets, Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 - P1 Sri Lanka Q2 = 8-P2 Where Q, and Q, are respective quantities sold (in thousands) andP, and P, are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5+ 2 (Q1+ Q2) a. Determine the company's total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market.(2.5 Marks) b. Now consider two cases:(2.5 Marks) (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits? c. Analyze, with graphs, the two alternative pricing strategies available to the company.Question 03 Maximum Marks - 07 AVAC is the only pharmaceutical firm producing a Vaccine. The Demand Curve for its product is Qd = 250 -50 P where P is Price and Q are packs of vaccines in '000 Total Cost Function estimated by the firm is TC = 15 + 0.5Q where Q is monthly output. a. What is the market structure of AVAC? State its characteristics. (1 Mark) b. To maximize profit, (2 Marks) (i) What will be the optimum price and how many packs of Vaccine should the firm produce and sell per month? (ii) If this number of packs is produced and sold, what will be the firm's monthly profit? c. Using available information, draw AVAC's demand, marginal revenue and marginal cost curves in a graph and clearly label thefirm's profit maximizing price, quantity and profit. Do you observe any welfare loss? If so, also indicate and label the area on the graph. (2 Marks) d. Assume all other pharmaceutical firms in the market start producing the Vaccine and the market becomes competitive. What will be the impact on price and marginal revenue?Would the market structure of the firm remain the same? Support your answer with help of the firm's graph.(2 Marks)