. () Briefly explain the meaning of the dynamic stability of a system represented by a differential equation. (ii) Solve the equation dy/dt + 4y = 12, with the initial condition y(0) (Assume t represent time variable). (iii) Discuss the dynamic stability of the solution derived at above (ii). What is %3! 5. the long run equilibrium level of y?
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- Please answer 18,19, 20. Thank you!. 18. When Sarah was asked to complete a financial analysis to determine next year’s price of Product X in view of mounting competition, she understood that she did not need to consider fixed costs. She had the correct understanding that fixed costs _____________. Group of answer choices a. Changed at a slower rate than direct production costs depending on product production b. Changed whenever next year’s sales reached the level of sales of the previous year c. Remained constant in the short term regardless of the amount of the product that the company produced d. Remained constant over the useful life of the product regardless of the amount of the product that the company produced 19. Rachel, the chief financial officer of Sunrise Fruit Snacks, needed to determine the company’s projected cost of capital for next year. To do so, she needed to know the following information except Group of answer choices a. The projected debt level…Q: Determine whether the following statemnts are true or false: a) The economic costs of a firm are payments to resource owners, sufficient to divert these resources from alternative consumption possibilities. b) Economic profit is an implicit cost. c) The larger the volume of production in the firm, the lower the total fixed costs.Revenue at a major smartphone manufacturer was $1.3 billion for the 9 months ending March 2 up 86 percent over revenues for the same period last year. Management attributes the increase in revenues to a 10o percent increase in shipments. Despite a 32 percent drop in the average blended selling price of its line of phones. Given the information, is it surprising that the company's revenue increased when it decreased the average selling price of its phones?
- Compare and contrast the difference between dynamic (intertemporal) efficiency and static efficiency with respect to non-renewable resources. a. What are the efficiency conditions for each? Explain your answer. b. What costs reflected in the inter-temporal analysis are not captured in the static analysis? Explain your answer. c. How does the discount rate factor into each analysis? d. What impact does the discount rate have on the allocation of non-renewable resources across time and long run price path of non-renewable resources? e. Discuss the ethical issues associated with economists use and choice of a discount rate when analyzing natural resource and environmental problems.Coffee RoasteryFocused on keeping its entire supply chain green, the roastery carefully selects the suppliers from whom it sourcescoffee beans. It works directly with farms and farm cooperatives, who are accredited as treating their farmers andemployees fairly and ethically. Approximately 50% of the roastery’s output is used by BB’s academy and coffee bars,ensuring a continued green chain across its businesses. In 2020, the coffee roasting unit produced 4500 tonnes andcontributed 15% of BB’s total revenue. The sustainability positioning has differentiated BB from its peers, and helpedit earn collaborations with socially responsible corporates. Best of all, there is now capacity to expand production toaround 18,000 tonnes at the roastery and start exporting roasted coffee beans to other countries.At present, the roastery is roasting 100% Arabica beans. The average wholesale price BB is able to sell the Arabicabeans for in 2021 is US$3.10, down from US$4.42 in 2014. However, projections…2 - Which of the following is not one of the factors that can cause a short or long-term cost increase within the scope of a construction project?A) Failure to complete the work within the work completion time specified in the contractB) Delay of work due to seasonal conditions other than force majeureC) Absence of technical personnel specified in the contractD) Failure to pay the insurances of the technical personnel who should be at work on timeE) Timely payment of salaries of workers
- The Return of Detroit City: Enpar manufactures engine parts for Ford using steel as an input. Enpar operates two plants, one in Detroit, MI and one in Greenville, SC. The production functions for the two Enpar plants are:Detroit: QD= 18SD – 0.25 SD2 Greenville: QG= 43SG – 0.5 SG2 where QD and QG are the outputs of engine parts (in units) from the Detroit and Greenville plants, respectively. SD and SG are the amounts of steel for the two plants. The firm has 104 units of steel available.How much steel should be sent to Detroit?Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.E4 ACME Corporation produces a variety of products for its diverse customer base, including the jet-powered pogo stick and jet-propelled tennis shoes, both of which are essential for catching roadrunners. Currently, they produce 40,000 engines per year that are used in the production of these two products. As the production manager for thisproduct line, you have determined that last year’s costs to produce the engines included: $99,600 in direct material expenses, $298,800 in direct labor expenses, $224,100 in variable overhead costs (i.e. power to operate the equipment), and $116,200 in fixed overhead costs (i.e. utilities to keep the factory operational). ACME plans to produce these engines only for the next 6 years. If they produce the engines in-house, they anticipate that direct material costs will increase at a rate of 5% each year. Further, they anticipate that labor costs will increase at a rate of 6% per year and variable overhead costs will increase at a rate of 3% per year.…Definition of economic costs Edison lives in Detroit and runs a business that sells guitars. In an average year, he receives $793,000 from selling guitars. Of this sales revenue, he must pay the manufacturer a wholesale cost of $430,000; he also pays wages and utility bills totaling $301,000. He owns his showroom; if he chooses to rent it out, he will receive $15,000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Edison does not operate this guitar business, he can work as a financial advisor, receive an annual salary of $50,000 with no additional monetary costs, and rent out his showroom at the $15,000 per year rate. No other costs are incurred in running this guitar business.
- 23.Describe how the automoble industry affect both national economics and society.Shunda is a calculator assembly company, purchase a full set of the calculator parts, assembled into a calculator to sell in the market. In recent years, the price of the calculator has remained steady at 60 yuan/units, the basic data of the input and output of shunda in 2013are listed in the table below: Hourly wage is 6 yuan per hour, price of parts is 25 yuan per set, power consumption is paid by 0.6 yuan per watt, the extract depreciation of equipment is 3 yuan per hour, and Shunda spends fixed costs 10000 yuan per month to pay all of the regular fee According to the above data, is it possible to estimate the production function and cost function (TC, TVC, AC and AVC)?1. mary williams, owner of Williams products, is evaluating whether to introduce a new product line. after thinking through the production process and the costs of raw materials and new equipment, williams estimates the variable costs of each unit produced and sold at $6 and the fixed costs per year at $60,000 a. if the selling price is set at $18 each, how many units must be produced and sold for williams to break even? use both graphic and algebraic approaches to get your answer b. williams forecasts sales of 10,000 units for the first year if the selling price is set at $14 each. what would be the total contribution to profits from this new product during the first year? c. if the selling price is set at $12.50, williams forecasts that first-year sales would increase to 15,000 units. which pricing strategy ($14 or $12.50) would result in the greater total contribution to profits? d. what other considerations would be crucial to the final decision about…