Solve the newsperson problem. Probability 0.15 0.16 0.18 0.18 0.14 0.19 Value 1 2 m 4 5 6 Purchase cost c Selling price p Salvage value v 222 20 28 15 What is the optimal order quantity?
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- 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…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?Dorothy 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?
- The lead time demand for bathing suits is governed bythe discrete random variable shown in Table 11. Thecompany sells an average of 10,400 suits per year. The costof placing an order for bathing suits is $30, and the cost ofholding one bathing suit in inventory for a year is $3. Thestockout cost is $3 per bathing suit. Use marginal analysisto determine the optimal order quantity and the reorderpoint.Lead TimeDemand Probability180 .30190 .30200 .15210 .10220 .15Cindy and Mindy were in the same student group while studying for their MBA atUTD. They graduated together but started working as inventory managers in different but competingretailers selling air conditioners in Dallas. While in school, they learned only the economic orderquantity model for finding the optimal order sizes. Now they are both purchasing air conditionersfrom Trane to sell at their stores. Cindy knows that the order setup cost with Trane is $200 and theannual inventory holding cost is $400. Cindy expects that Mindy has the same cost figures. Cindyhas accidentally learned that Mindy is ordering 10 air conditions every time she orders. Show howCindy can use this information to deduce the demand Mindy faces. Explain why would competitorsway want to know each other’s demandA retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of September, they produce apple and grape pies. The apple pies are sold for $10.00 to the grocer, and the grape pies are sold for $8.00. The couple is able to sell all of the pies they produce owing to their high quality. They use fresh ingredients. Flour and sugar are purchased once each month. For the month of September, they have 1,500 cups of sugar and 2,400 cups of flour. Each apple pie requires 1½ cups of sugar and 3 cups of flour, and each grape pie requires 2 cups of sugar and 3 cups of flour. a. Determine the number of grape and the number of apple pies that will maximize revenues if the couple working together can make an apple pie in 6 minutes and a grape pie in 3 minutes. They plan to work no more than 60 hours. (Round your answers to nearest whole number.) b. Determine the amounts of sugar, flour, and time that will be unused. (Leave no cells blank -…
- 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.)A hospital orders its thermometers from a hospitalsupply firm. The cost per thermometer depends on the ordersize q, as shown in Table 6. The annual holding cost is 25%of the purchasing cost. Let EOQ80 be the EOQ if the costper thermometer is 80¢, and let EOQ79 be the EOQ if thecost per thermometer is 79¢.a Explain why EOQ79 will be larger than EOQ80. b Explain why the optimal order quantity must be ei-ther EOQ79, EOQ80, or 100. c If EOQ80 100, show that the optimal order quan-tity must be EOQ79. d If EOQ80 100 and EOQ79 100, show that theoptimal order quantity must be either EOQ80 or 100.e If EOQ80 100 and EOQ79 100, show that the optimal order quantity must be EOQ79.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 please
- 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 $Consider a consumer that lives only for two periods. He works in period 1 (and gets income Y1) and moves up the corporate ladder in period 2 (and gets income Y1 < Y2). This consumer has the usual preferences over time: u(C1) + βu(C2) Assume once again that a consumer cannot borrow, but can borrow and immediately sell some MacGuffins, and in the next period, the consumer must buy back the MacGuffins to return to the lender. Assume that MacGuffin t r a d e s a t P1 > 0 in the first period and is expected to trade at P ̃2 in the second period. Write down the new budget constraint. Would a consumer borrow a MacGuffin? What is the condition on the P ̃2? Is P ̃2 a fair price of a MacGuffin? Could the consumer be better off with a MacGuffin?The shadow price is calculated to be P4.00 for a less than or equal to constraint in a maximization LP problem with the optimal objective function value of z = 25, this means that a.if the coefficient of the objective function is increase by 1 then the RHS for that constraint must be increased by 4. b. if the RHS for that constraint is increased by 4 units then the optimal objective function value will become 26 c.if the coefficient of the objective function is increase by 4 then the RHS for that constraint must be increased by 1. d.if the RHS for that constraint is increased by one unit then the optimal objective function value will become 29