!help me understand
A perfectly competitive firm has a Cobb-Douglas production function f (X1, X2) = X1X2. Suppose that input prices are w1 = 1 and W2 = 1. The firm wants to find the cheapest way of producing y = 32. a. Suppose that in the short run the quantity of input factor 2 is fixed at X2 = 8. Solve the firm's short-run cost minimization problem to derive the optimal input quantity x1. b. Derive the corresponding costs Cs of producing y = 32 in the short run. c. Now consider the long run, in which both input factors are variable. Set up the Lagrangian function for this firm's long-run cost minimization problem. d. Derive the first-order conditions of the above long-run cost minimization problem. e. Solve the above first-order conditions to derive the optimal input quantities x1 and X2. f. Derive the corresponding costs c* of producing y = 32 in the long run.Yusuf Bakery currently have four store locating in above places. Each store made their own baked products. Individual store separately procure their raw materials to serve the demand for fresh and final baked goods. Store location X coordinate Y coordinate Product Sold Uttara 121 150 4000 Jatrabari 245 75 3750 Savar 350 450 4500 Gulshan 305 200 2000 This separate process act increase confusion About product quality and test among the consumers. They start comparing the baked goods based on the locations. Therefore, to eliminate this brand confusion owner decided to open central commissary. Instructions: So, as a supply chain consultant, how would you suggest finding the optimal location for the Central commissary?A company decided to manufacture computer accessories at their production facilities. They | have well facilitated and equipped production plant in 3 areas. They want to analyze meticulously where there production cost will reach the breakeven point that. Thus, they write down detail cost structure ofthree different areas, are as follows: location Fixed cost Variable cost {Unit} Dhaka 4.0mm 3m Chottogram 3.0!),00'0 250 Khulna 2.0.O 250 Now, they have hired you to calculate the REF for each location. For your clarity, they provide you hypothetical production unit of 5,000 unit and ZDHUO. These two value will help you to compare the cost pattern. Instructions: -Wh.ich range of production volume is more suitable for each location? -Which one of the three is the best location at a production of 9,000 units? Suppose as a student of ABA Savar you are interested to know about the nancial situation and quality,r assurance of the canteen. For that you have to evaluate the \"Financial Statements\" by ratio analysis. Here the \"Balance sheet\" & 'Income statement\" of a year is given below: Liabilities Cash = 30,000 Account a able = 28,000 Account receivable = 73,000 Accrued wa es = 10,000 Inventories = 4,000 Accrued taxes = 5,000 Machineries = 25,000 Debt (Long): 23,000 AmounTaka} Net Sales Gross Prot (-)Total OPERATING EXPENSES Net Income Before Taxes (-)Taxes on income (15%) Net Income Aer Taxes NET INCOME Calculate \"the net operating prot after taxes [NOPATT' 3L\" the net operating working capital\" to know the nancial position of AIBA Savar Canteen's
