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Production Techniques: |
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Labor |
4 |
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Capital |
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5 |
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Answer the question on the basis of the following information: Suppose 15 units of product A can be produced by employing just labor and capital in the four ways shown below. Assume the prices of labor and capital are $3 and $5, respectively.
Which technique is economically most efficient in producing A?
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- Recall the production modelMax 10x s.t 5x < 40 x > 0 Suppose the firm in this example considers a second product that has a unit profit of $5 andrequires 2 hours of production time for each unit produced. Use y as the number of units ofproduct 2 produced.1. Show the mathematical model when both products are considered simultaneously.2. Identify the controllable and uncontrollable inputs for this model.3. Draw the flowchart of the input–output process for this model 4. What are the optimal solution values of x and y?5. Is the model developed in part (a) a deterministic or a stochastic model? ExplainThe amount of fish caught per week on a trawler is a function of the crew size assigned to operate the boat. Based on past data, the following production schedule was developed: Crew size 2 3 4 5 6 7 8 9 10 11 12Fish caught (100 lbs/week) 3 6 11 19 24 28 31 33 34 34 33 b) How large a crew should be used if the trawler owner is interested in maximizing the total amount of fish caught?c) How large a crew should be used if the trawler owner is interested in maximizing the average amount of fish caught per person?d) Suppose the owner can sell all the fish caught for $75 per 100 pounds and can hire as many crew members as desired by paying them $150 per week. Assuming that the owner of the trawler is interested in maximizing profits, determine the optimal crew size.Sonia is planning to start a new designer cloth shop. Her problem is to decide how large her shop should be.The annual returns will depend on both the size of her shop and a number of marketing factors related to thecurrent market conditions and demand for designer wear. After a careful analysis, Sonia came up with thefollowing tableSize of Shop Good Market (R.O.) Fair Market (R.O.) Poor market (R.O.)Small Scale 1024 9765 −500Medium Scale 1500 3000 −2000Large Scale 2000 3000 −4000Very Large Scale 3000 5000 −7000a) What will be her decision based on Pessimist criteria? b) What will be her decision based on Optimistic criteria? c) What will be her decision based Laplace criteria?
- 0. Radioco manufactures two types of radios. The only scarce resource that is needed toproduce radios is labor. At present, the company has two laborers. Laborer 1 is willing towork up to 40 hours per week and is paid $5 per hour. Laborer 2 will work up to 50 hoursper week for $6 per hour. The price as well as the resources required to build each type ofradio are given in the Table. Letting xi be the number of Type i radios produced each week,Radioco should solve the following LP:a) For what values of the price of a Type 1 radio would the current basis remain optimal?b) For what values of the price of a Type 2 radio would the current basis remain optimal?The information on three different technologies named as q, v and x is listed in the table below. Note that all of these technologies use different combinations of two types of factors of production, labor and capital, to produce 1000 units of output. Consider the first scenario where the per unit prices of the inputs, labor and capital are $50 and $25 respectively. Technology No of Labors Capital (tons) Cost value ($) A 10 50 B 30 20 C 50 10 Now imagine that a discovery has been made which has led to labor advancements leading to a reduction in per unit price of labor to $10, ceteris paribus. Which technology will a typical firm adopt under these changed circumstances and why? Using the value of costs found, what is the value of the economic rent for this firm?model of a firm that produces final goods using R&D and components as inputs, with cost data as follows:Assembly: Total cost of production = PAQA = 400Earnings of High-Skilled Labor = WHHA = 100Earnings of Low-Skilled Labor = WLLA = 200Earnings of Capital = RKA = 100R&D: Total cost of production = PRQR = 400Earnings of High-Skilled Labor = WHHR = 175Earnings of Low-Skilled Labor = WLLR = 125Earnings of Capital = RKR = 100A) In which factor(s) is assembly intensive? In which factor(s) is R&D intensive?B) Suppose that due to the opening of trade, the price of assembly falls by ∆PA/PA = −20%, the price of R&D remains unchanged, ∆PR/PR = 0%, and capital’s share earnings remains constant.C) What has happened to the relative wage of high-skilled/low-skilled labor? Does this match the predictions of the offshoring model?
- Suppose that the economy in the Jatinagor area has a Production Possible Limit with the equation X² + 4Y² = 64. Calculate what the value of X is if Y = 0 and what is the value of Y if X = 0 What is the opportunty cost of X if Y is constant in the economy or does it depend on the levels of output produced? Explain!MNLogs harvested logs (with no inputs from other companies) from their property in northern Minnesota. They sold these logs to MNLumber for $1,000 and MNLumber cut and planed the logs into lumber. MNLumber then sold the lumber for $2,500to MNFurniture. MNFurniture used the lumber to produce 100 tables that they sold to customers for $60 each.Instructions: Enter your responses as whole numbers.a. Complete the table below to calculate the value added by each firm. Company Revenues Cost of purchased inputs Value added MNLogs $ $ $ MNLumber $ $ $ MNFurniture $ $ $ b.Suppose that all of these transactions took place in 2016. By how much did GDP increase because of these transactions?$ c.Suppose that MNLogs harvested the logs in October 2016 and sold them to MNLumber in December 2016. MNLumber then sold the finished lumber to MNFurniture in April 2017 and MNFurniture sold all 100 tables during the rest of 2017. By how much did GDP increase in 2016 and 2017 because of…Use the table to answer questions 1. What is the oppourtonity cost of producing 800 tons of fruit instead of 450?