Solve the newsvendor problem. Probability Value 0.16 0.09 1 2 Optimal order quantity 0.16 Purchase cost c = 16 Selling price p = 50 Salvage value v= 11 What is the optimal order quantity? 0.22 4 0.26 10 5 0.11 6
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- In Problem 12 of the previous section, suppose that the demand for cars is normally distributed with mean 100 and standard deviation 15. Use @RISK to determine the best order quantityin this case, the one with the largest mean profit. Using the statistics and/or graphs from @RISK, discuss whether this order quantity would be considered best by the car dealer. (The point is that a decision maker can use more than just mean profit in making a decision.)Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.If the number of competitors in Example 11.1 doubles, how does the optimal bid change?
- I need help with everything, please. hint: you will need to define one variable for total funds needed; one variable for each for 2 securities. and five variables for investment in savings at the beginning of each year. The 6th year will be 1.04 times the 5th-year saving variable. Formulate the problem and submit the formulation - no need to solve 1. As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the following annual payments (in thousands of dollars): Year Payment 1 190 2 215 3 240 4 285 5 315 6 460 The annual payments must be made at the beginning of each year. The judge will approve an amount that, along with earnings on its investment, will cover the annual payments. Investment of the funds will be limited to savings (at 4% annually) and government securities, at prices and rates currently quoted in The Wall Street…AutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $50,000 and a production cost of $7 for each timer manufactured. The timers sell for $15 each. (a) What is the cost function C(x)?C(x) = (b) What is the revenue function R(x)?R(x) = (c) What is the profit function P(x)?P(x) = (d) Compute the profit (loss) corresponding to production levels of 3000, 6000, and 11,000 timers, respectively. (Input a negative value to indicate a loss.) 3000 timers $ 6000 timers $ 11,000 timers $The Gilbert Air-Conditioning Company is considering the purchase of a special shipmentof portable air conditioners manufactured in Japan. Each unit will cost Gilbert $80, and itwill be sold for $125. Gilbert does not want to carry surplus air conditioners over until thefollowing year. Thus, all surplus air conditioners will be sold to a wholesaler for $50 perunit. Assume that the air conditioner demand follows a normal probability distribution withμ 5 20 and σ 5 8.a. What is the recommended order quantity?b. What is the probability that Gilbert will sell all units it orders?
- Ning Caterers quotes a price of P940.80 per person for a banquet dinner. This priceincludes the 12% VAT and 20% service charge. The VAT is computed based on thefood’s selling price plus the service charge. The service charge is computed based onthe food’s selling price only. At what amount does Ning Caterers price the food?a. P710.77 c. P613b. P700.00 d. P840 show the solution pleaseXYZ is a multinational corporation based in the US. Its manufacturing facilities arelocated in Pittsburgh and hence its labor and manufacturing costs are incurred in USdollars (USD). A large fraction of its sales, however, are made to German customers whopay for the goods in Deutschemarks (GDM). There is a six-month lead time between theplacement of a customer order and delivery of the product. XYZ's cost of production is80% of the sale price. Suppose XYZ receives a $1MM GDM order and that the currentUSD/GDM exchange rate is 0.60 (i.e. 1 GDM = 0.60 USD). The cost of production of thisorder is $480,000 (0.60 x $1MM x 0.80). The exchange rate six months from now is, ofcourse, uncertain in which case XYZ is exposed to exchange rate risk.RequiredExplain how the company can use forward contract for hedging purposesDorothy lacks cash to pay for a $840.00 dishwasher. She could buy it from the store on credit by making 12 monthly payments of $71.52. The total cost would then be $858.24. Instead, Dorothy decides to deposit $70.00 a month in the bank until she has saved enough money to pay cash for the dishwasher. One year later, she has saved $882.00—$840.00 in deposits plus interest. When she goes back to the store, she finds the dishwasher now costs $886.20. Its price has gone up 5.50 percent. Was postponing her purchase a good trade-off for Dorothy?
- Suppose it costs $10,000 to purchase a new car. Theannual operating cost and resale value of a used car areshown in Table 4. Assuming that one now has a new car,determine a replacement policy that minimizes the net costsof owning and operating a car for the next six years.A hot dog vendor at Wrigley Field sells hot dogs for$1.50 each. He buys them for $1.20 each. All the hot dogshe fails to sell at Wrigley Field during the afternoon can besold that evening at Comiskey Park for $1 each. The dailydemand for hot dogs at Wrigley Field is normally distributedwith a mean of 40 and a standard deviation of 10.a If the vendor buys hot dogs once a day, how manyshould he buy?b If he buys 52 hot dogs, what is the probability that hewill meet all of the day’s demand for hot dogs at Wrigley?4. A publisher prints copies of a popular weekly tabloid for distribution and sale. The fixed costs are $500 per print run, with each copy printed costing an additional $0.40. If C(q) is the cost function (in $) of the price of the print run as a function of copies printed, what is the formula for C(q)? Select one: a. C(q) = 500 + 0.4q b. C(q) = 500q + 0.4 c. C(q) = (500 + 0.4)q d. C(q) = 500 - 0.4q e. C(q) = 500q - 0.4 5. A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed with a standard deviation of 7 hot dogs, what is the probability the vendor will sell between 45 and 65 hot dogs? Select one: a. 74.50% b. 92.36% c. 99.78% d. 174.50% e. 2.14 f. -0.71 g. 0.71