If a perfectly competitive firm which produces two commodities, has the cost function C = 2Q² + 2Q? where Q1 and Q2 denote the production level of commodity 1 and commodity 2 respectively. (Note: There are 3 questions in the test regarding the information given above) Which of the following is Hessian determinant of the above problem O a. H=-16 O b. H|=14 O c. H=16 O d. H|=-14
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- If a perfectly competitive firm which produces two commodities, has the cost function C = 2Q? + 2Q? where Q1 and Q2 denote the production level of commodity 1 and commodity 2 respectively. (Note: There are 3 questions in the test regarding the information given above) Which of the following is Hessian determinant of the above problem O a. H=-16 O b. H|=14 O c. H=16 O d. H|=-14Winter Fun© has determined that the total revenue (in dollars) for its west coast factory from the sale of x Blazing Blue snowmobiles is given by 2200x R(x) In(9x + 9) Find the marginal revenue when 100 Blazing Blue snowmobiles are sold. a) R'(100) Round to two decimals as needed. b) Interpret the answer from part (a): Revenue will Select an answer v by $ for more snowmobile(s) sold when the number of snowmobiles produced and sold isGiven the input-output matrix below, find the output matrix if final demand changes to 600 for water, 180 for electric power, and 700 for agriculture. Industry Electric Power Water 120 Agriculture Final Demand 240 320 160 Water 480 270 Electric Power Agriculture Other Industry: 60 120 170 400 180 240 240 360 80 The output matrix is X=. (Round to two decimal places as needed.)
- Consider the input output table below Table (Inter) final Total (Agric) (Manuf) (Mining)demand (Inter) Agric 106 47 180 898 1231 Manuf 75 32 80 1167 1354 Mining 31 115 100 977 1223 PrimaryLabour 949 760 363 Capital 70 400 500 where: (Agric = Agriculture),( Manuf = Manufacturing),(Inter = !3! %3D Intermediate) A. Calculate the input coefficients and fill in the appropriate spaces in the table below. Use four (4) decimal places. Agric (Manuf) (Mining) Agric Manuf Mining Labour CapitalA firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.. An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.
- The manager of Don Teeta Company Limited hires labour (L) and rents capital equipment (K) ina very competitive market. Currently, the wage rate of labour is GH¢2 per hour and capital isrented at GH¢5 per hour, the unit price of the product is GH¢0.75 and total cost of production isGH¢1,000. Suppose the firm’s production function (Q) is as follows:? = 14?0.5?0.5 + 10Determine the optimal input usage and the maximum profit.мсо 34 Consider a competitive firm operating in the short run. The firm takes the market price as given and then decides how much output to produce at that given price. When the market price is £60 the firm produces nothing, but when the market price is £100 the firm produces 40 units of output. From this information we can infer that: A the average total cost of production must be less than £60 В I do not want to answer this question. C the marginal cost of production can never be less than £6o D the firm operates under conditions of constant marginal cost E the average total cost of producing 40 units of output is less than £60 the minimum of average variable cost is somewhere between £60 and £100F. None of the above 4) Please indicate whether the following production function has the characteristic of CRS, IRS and DRS. (b) F(K, L)=[aKP +(1-a)Le ]1/e, (1>a>0, 1>p) 1. CRS 2. IRS 3. DRS 4. None of the above
- 1-a Suppose you have following production function for your firm : q = Ax;“x, where x, > 0, x, > 0 and a ± 0, a0. The price of input x, is w>0 and the price of x, is r > 0. a) Compute the marginal products of xi and x2. b) Using Lagrange method, write down cost minimization problem and first order conditions. c) Determine the conditional factor demands and cost function of the firm, x1* x2* and C* as a function of w, r, q and 2.Question 5 A manager hires labour and rents capital equipment in a very competitive market. Currently the wage rate is GH¢2 per hour and capital is rented at GH¢18 per hour, the unit price of the product is GH¢0.75 and total cost is 576. Suppose the firm’s production function is as ).(+ ).,+ follows: ? = 20? ? + 15 a) what is the amount of labour and capital the firm should employ to maximize output? b) What is the maximum profit?Title is my answer for this question correct please advice me Description Making dresses in a labor intensive process. Indeed, theproduction function of a dress making firm is well described by theequation Q=L - L^2/800, where Q denotes the number of dresses perweek and L is the number of labor hours per week. The firms cost ofhiring an extra hour of labor is $20 per hour (wage plus fringebenefits.) The firm faces the fixed selling price, P = $40. a.) How much labor should the firm employ? What are itsresulting output and profit? b.) Over the next 2 years, labor costs are expected to beunchanged, but dress prices are expected to increase to $50. Whateffect will this have on the firm's optimal output? Explain.Suppose that inflation is expected to increase the firm's laborcost and output price by identical (precentage) amounts. Whateffect would this have on the firm's output. c.) Finally, suppose that MCL =$20 and P=$50 but that laborproductivity (output per labor hour) is…