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- (i) A business manager determines that t months after production begins on a new product,the number of units produced will be P thousand, where P(t) =6?2 + 5?(? + 1)2.What happens to production in the long run ?(ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at adistance x meters from the rupture. Turbulence makes it difficult to directly measure thethickness of the slick at the source (where x = 0), but for x > 0, it is found thaty =0.5(x2 + 3x)x3 + x2 + 4x . Assuming the oil slick is continuously distributed, howthick would you expect it to be at the source?Consider an item that is ordered on a monthly basis. The daily demand for the item is200 and the lead-time for supply is 7 working days. A month consists of 25 workingdays. the cost of ordering is USD 100 per order and the cost ofcarrying inventory is USD 10 per unit per year of inventory.a. What will be the cost of the existing plan of ordering inventory?b. What will be the economic order quantity (EOQ)?c. What will be the new cost of the plan if the organization chose to order as perEOQ?Constrained Optimization A firm's total cost function is: C = 6x2 - xy + 10y2 + 30, subject to the production quota x + y = 34. Construct the Lagrange function and solve for the equilibrium values. Calculate the total cost. What is the equilibrium value of x? What is the equilibrium value of y? What is the equilibrium value of λ? What is the optimized value of cost? What is the value of the determinant of the bordered Hessian matrix? Based on the value of the determinant of the bordered Hessian matrix, comment on the optimized value of Cost. (Answer in one word.)
- 18. Assuming England has 60 man-hours (mhrs) of labor resource available for production, and labor is the only resource, the per unit resource cost of wine in England is ____ mhrs/bottle. (PleScenario Milk is flowing like never before in the U.S., where dairies have expanded output enough to send wholesale prices plunging from an all-time high in September. Production in the 12 months through October reached 17.08 billion pounds a month on average, up 1.8 percent from the same period a year earlier, as farmers took advantage of high milk prices and low livestock-feed costs, government data show. Two years of record corn harvests in the U.S. sent grain prices to a five-year low. Grains are mainly used as feed for cow farmers. Imports of milk to the US has also increased during the period as countries such as New Zealand are also benefiting from good market conditions During this time however, demand for the good has not been able to keep up with the supply. Notably, the current market conditions are not expected to last with impending drought conditions that would impact the harvest of corn and result in an increase in its price. With higher prices for grains some farmers…arrow_forward Question Asked Jun 26, 2020 1 views Suppose one thousand (1000) units of product Aare produced by XYZ limited and the quantity demade for the product is two thousand (2000)units .All other things remaining constant,$18 change in price of product A results in change quantity demaded and supplied of 6 and 9 respectively.XYZ limited has a work force of 500 people who Pay income tax of $200 each .Supposed the government introduce a subsidy of $10 on each unit of A produced. Calculate the new equilibrium price and quantity
- Hanna Corporation markets a compact microwave oven. In 2010 they sold 23,000 units at $375 each. Per capita disposable income in 2010 was $6,750. Hanna economists have determined that the arc price elasticity for this microwave oven is −1.2. Which the following statement is wrong? 1. A price decrease in 2011 will help company revenue growth 2. If all other things remain equal, sales volume for 2011 are 27,312 if price is reduced to 325. 3. Assume that arc income elasticity for microwave ovens is 2.5 and price and income effects are independent and additive. Given that the price is reduced to $325, and that per capita disposable income increases to $7,000, sales volume for 2011 will be 29,032. 4. A price increase in 2011 will help company revenue growth.Demand and supply in a market are described by the equations Qs= 1800 + 240P Qd= 3550 - 266P a) Solve algebraically to find equilibrium P and Q b) Draw the demand and supply curve and show equilibriumQ1.The following is a Cobb-Douglas production function: Q = 1.75K0.6L0.5. What is correct here? * -This production function displays constant returns to scale -This production function displays increasing returns to scale -A one-percent change in L will cause Q to change by one percent -This production function displays decreasing returns to scale Q2. For studying demand relationships for a proposed new product that no one has ever used before, what would be the best method to use? * -consumer surveys, where potential customers hear about the product and are asked their opinions -double log functional form regression model -ordinary least squares regression on historical data -market experiments, where the price is set differently in two markets
- Thank you so much for your help. If you can help me I will give a thumbs up! :) [LOOK AT ECO IMAGE PT 1] b.) [CONTINUED FROM ECO IMAGE PT1] (ii) If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output? [ ] output = [ ] units per firm (iii) What economic profit or loss will the firm realize per unit of output? [ ] per unit = $ [ ] c. At a product price of $32.00 (i) Will this firm produce in the short run? [ ] (ii) If it is preferable to produce, what will be the profit-maximizing or loss-minimizing output? [ ] output = [ ] units per firm (iii) What economic profit or loss will the firm realize per unit of output? [ ] per unit = $ [ ] Instructions: Enter your answers as a whole number. If you are entering any negative numbers be sure to include a negative sign (−) in front of those numbers.…Along with many other producers, you own a small oil well. The market is very competitive. Themarginal extraction cost is $10 per barrel. The interest rate is 5%. The annual demand for oil isQ = 90,000 – 2,000P where Q is in barrels per year and P is in dollars per barrel.Use your knowledge about Hotelling’s Rule to answer the following questions: Oil is trading for $25/bbl on Jan 1st, 1999. What do you expect the path of oil pricesand extraction quantities to be from 1999-2010 (assuming no shocks to the market)?A day later, on Jan 2nd, 1999, the Wall Street Journal opens with a story that there is now amore reliable reserves estimate. Total reserves are estimated at 760,000 barrels.Along with many other producers, you own a small oil well. The market is very competitive. Themarginal extraction cost is $10 per barrel. The interest rate is 5%. The annual demand for oil isQ = 90,000 – 2,000P where Q is in barrels per year and P is in dollars per barrel.Use your knowledge about Hotelling’s Rule to answer the following questions: Oil is trading for $25/bbl on Jan 1st, 1999. What do you expect the path of oil pricesand extraction quantities to be from 1999-2010 (assuming no shocks to the market)?A day later, on Jan 2nd, 1999, the Wall Street Journal opens with a story that there is now amore reliable reserves estimate. Total reserves are estimated at 760,000 barrels. b. What is the oil price directly after this news becomes public? When will the worldrun out of oil, assuming no more oil is discovered? [Hint: use a spreadsheet.]You have a couple million dollars to spend on Dec 31st, 1999. You decide to quickly buy out allsmall oil producers. By Jan 1st, 2000, you are…