The unit labour requirements of the production of cotton are 2 and 3 and for wheat is 4 and 5 for Lincolnland and Smithland, respectively. Labour in Lincolnland and Smithland are taken to be 400 and 200 respectively. (i) If labour is the only factor of production and tastes and preferences of the consumers in both countries are alike and captured by U(C, W) W^4/5C^1/5, find the relative equilibrium price? Discuss as to whether there is complete specialisation at this relative price? (ii) Assume that the relative equilibrium price of cotton to wheat in the world economy is 4/5, what amount of wheat would each of the countries produce?
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- dien There are two factors in a production function y = x 113 x₂¹1³. The market price of each unit ofy is p=3, and the factor prices are w₁=1 and W₂=2 for x₁ and X₂ respectively. variable (a). Calculate your cost function as a function of y if X, and x₂ are both barible factors. (b). Now derive the functions of average and marginal cost and plot them against quantity (C). Solve for your optional output of y. Calculate the ratio of two factors (X₁/X₂) (d). In the short run the fixed factor is set at X₂=1. What is the new optimal output level now?Suppose that labor is the only input used by aperfectly competitive firm. The firm’s productionfunction is as follows:Days of Labor Units of Output0 days 0 units1 72 133 194 255 286 297 29a. Calculate the marginal product of each additionalworker.b. Each unit of output sells for $10. Calculate thevalue of the marginal product of each worker.c. Compute the demand schedule showing thenumber of workers hired for all wages from zeroto $100 a day.d. Graph the firm’s labor-demand curve.e. What happens to this demand curve if the price ofoutput rises from $10 to $12 per unit?Suppose we have a produ ction function for wheat Q = KL - 0.8K2 - 0.212 A. Given K = 10 Units, calculate the level of labourth at the AP reaches max andh ow Much wheatis produced at that point B. Given K = 10 at what level of labour outputreaches maximum C. How mu ch Ilevel of labor should the company hire in order to be efficient |
- b. Five Sales Executives have been told by their company Heavy Machines Limited (HML) that eachsales executive, will be relocated to work at one of five branches of their company, in theCaribbean. The cost to relocate a sales executive at each of the five branches is shown in Table 8below: SalesExecutiveBranchJamaica Antigua/Barbuda Trinidad&TobagoBarbados St. LuciaZenk Murt $2,550 $2,300 $ 2,700 $2,300 $2,400Rangle Tang $2,400 $2,700 $2,800 $2,600 $2,400Atil Heglam $2,600 $2,400 $2,700 $2,500 $2,400Justop Brelim $2,400 $2,500 $3,000 $2,400 $2,500Mesk Lathim $2,400 $2,300 $2,500 $2,800 $2,700 The costs shown in Table 8, are in Eastern Caribbean (EC) dollars. (i) Determine the optimal relocation of the five Sales Executives.The marginal product of effort, a typical worker in fast-food burger joint, is one- fourth burgers per hour; that is, MPe = .25The price of a burger is $2. The figure graphs Mac’s marginal cost of effort. If Mac increases his effort by one unit per hour, the change in the burger joint’s revenue is $ per hour. That is, what is VMPe , the value of Mac ‘s marginal product of effort ? Plot the VMPe curve in the figure. Mac efficient effort e^ is the solution to what equation? Illustrate the solution in the figure. Mac efficient…Imagine a firm that employs two types of workers – some with computer skills and others withno technology related skills. (i) Explain how a firm’s production function is related to its marginal product of labour, howa firm’s marginal product of labour is related to the value of its marginal product and how afirm’s value of marginal product is related to its demand for labour. (ii) Explain how the wage can adjust to balance the supply and demand for labour whilesimultaneously equalling the value of the marginal product of labour.
- Starbucks is hoping to make use of its excess restaranunt capacity in the evenings by experimenting with selling beer and wine . It speculates that eh only additional costs are hiring more of the same sort of workers to cover the additional hours and costs of the new line of beverages, What hisdden costs might emerge?7 Output for a simple production process is given by Q- KL, where K denotes capital and i denotes labor. The price of inbor is $10 per unit and the price of capital is $2 per unit. If at the current level of production the marginal product of labor is 8 while the marginai product of capital is 2, then in order to minimize your costs of production you should use Multipie Choice more capital and less labor the same ahount of both inputs more labor and less capital more of both inputs.In theory - firms are suppose to hir labor up the the point where the marginal revenue product equals the marinal factor cost. Explain what this means.
- Adam operates a small shop specializing in party favors. He owns the build- ing andsupplies all of his own labor and money capital. Adam incurs no explict rental or wagecost. Before starting his own bussines Adam earned $1,000 per month by renting outthe store and earned $2,500 per month as a store manger for a lrge departmentstore chain. Because Adam use his own money capital, he also sacrificed $1,000 permonth interest earned on U.S government treasury bonds. Adam’s monthly revenuesfrom operating his shop are $10,000 and his total monthly expense for labor andsupplies amounted to $6,000. Calculate Adam’s monthly accounting and economic profitsIf capital and labour are perfect complements then the marginal products of capital and labour are undefined A True Faise Question 16 A firm uses 10 units of labour and 20 units of capital to produce 10 units of output. The marginal product of labour is 0.5. If there are constant returns to scale the marginal product of labour must be 0.25 True B False Question 17 Afirm uses 10 units of labour and 30 units of capital to produce 10 units of output. The marginal product of labour is 05. If there are constant returns to scale the marginal product of labout must be 0.25 A True FalseThe use of cannibus was legalized in canada in 2017. Lets assume that the cannibus in canada sector perfectly competitive. Assume labour is the only variable input and that an additional input of labour increases total output from 5 to 12 ounces of cannibus. If cannibus sells for 10$ per ounce in perfectly competitive matket, the MRP of this additional worker is A) 120$ B) 10$ C) 7$ D) can be possitive or negative E) 70$