onsider a 2 period oil extraction setting. The inverse demand for oil is given as ?(?) = 20 − ?. The MC of extraction is MEC = Q. The discount rate is r = 0.05. a) If the initial stock of oil in the ground is S = 25, what will be the extraction and price each period? b) If S = 15, what will be the extraction and price each periods?
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- Demand for an item is constant at 40 units a week, and the economic order quantity is calculated to be 100 units. What is the reorder level if lead time is constant at 4 weeks? What is the effect of adding some margin of safety and raising the reorder level by ten units? What happens if the lead time (a) falls to 2 weeks or (b) rises to 6 weeks?The demand function for a car manufacturing firm is presented as follows:- Q=−500P+210Px+200P+20pop-1,000,000i+600A Where, Q =Demand for firm′s car; P = Price of Domestic Manufacturers; PX = Price of New Luxury Cars; I = Disposable Income per Household; Pop = Population; I = Interest Rates; A = Advertising Campaign Explain the extent to which demand changes when any of the independent variables changes.Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)
- The Nike accounting firm analyzes the price-demand relationship toconclude that x thousand shoes will sell if offered for a unit price (in dollars) of p(x) = 130−0.1x. Suppose further that the total cost of production was tracked to be $530,000 up until production of the first thousand shoes, and that this cost increased linearly to $560,000 by the time of production ofthe 2000th shoe. Find the following quantities, and interpret your results(describe what these quantities represent). a) Marginal revenue when x= 100 b) Average profit when x= 500The demand function for a certain product is determined by the fact that the product of the price and the quantity demanded equals 8000. The product currently sells for $2.20 per unit. Suppose manufacturing costs are increasing over time at a rate of 18% and the company plans to increase the price p at this rate as well. Find the rate of change of demand over time. Find the demand function represented in this problem where p is the price of the product and q is the quantity demanded for the product. (Type an equation.)Demand for Corn Flakes is: P = 10 - Q. Supply of Kellogg's Corn Flakes is: P = 2 + Q. Now a %3D generic company enters the market, selling generic Corn Flakes for $3. Assume consumers are indifferent between generic and Kellogg's Corn Flakes. When the generic corn flakes enter the market, Kellogg's will sell how many less boxes of their own cereal? Enter as an absolute value (NOT a negative number).
- C&A Fast Food has four activities in serving a customer: greet customer, take order, process order, and deliver order. Each activity is staffed by one employee (for a total of four employees). The processing time for each activity is given as follows: Greet customer Take order Process order Deliver order Activity Processing time per customer 2 seconds 30 seconds 60 seconds 5 seconds Assume demand is unlimited. If one additional employee is added to the bottleneck activity, what will be the percentage change in process capacity?I A consumer's Marshallian demand for y is given by gy(Pa, Py, I) = —— 3. The price of Py = good y is py 4 and the consumer's income is I = 15. What is ey,py, the consumer's own price elasticity of demand for y? (a) −15 (b) -5 (c) -5/12 (d) −1 (e) -15/16ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 10. Write the resulting regression equation.
- Mead Plumbing currently sells thread seal tape at a price of $42.00 per roll. Their research department has derived the price-demand equation as p = 60 -0.02x where x is the number of tapes that can be sold at $p per roll of tape. (d) If the current price changes by 10%, what will be the approximate percentage change in demand? (e) Find the price at which a percentage change in price produces the same percentage change in demand.The demand equation for a particular candy bar is px + x + 20p = 3000 where 1000x candy bars are demanded per week when p dollars is the price per bar. If the current price of the candy is 49 dollars per bar and the price per bar is increasing at the rate of 0.2 dollars each week, find the rate of change in the demand.A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150 − 0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 and the variable cost per unit = $40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 6,000 units per year.