b) The Scott Tractor Company ships tractor parts from Omaha to St. Louis byrailroad. However, a contract limits the number of railroad cars the company cansecure on each branch/arc during a week. Given these limiting conditions, thecompany wants to know the maximum number of railroad cars containing tractorparts that can be shipped from Omaha to St. Louis during a week.PhoenixDes Moines356.6.1.Dallas2OmahaSt. Louis7.3Denver6.ActivateWO 31°C

The objective of the maximal flow network diagram is to find the maximum output the firm can get…

Answered: b) The Scott Tractor Company ships…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter8: Evolutionary Solver: An Alternative Optimization Procedure

Section: Chapter Questions

Problem 34P

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J&J has given you $12 million to spend on advertising Huggys diapers during the next 12 months. Atthe beginning of January, Huggys has a 30% market7.9 Conclusion 401share. During any month, 10% of the people whopurchase Huggys defect to brand X, and a fraction0.2a1y2 of customers who usually buy brand X switchto Huggys, where a is the amount spent on advertisingin millions of dollars. For example, if you spend $4million during a month, 40% of brand X’s customersswitch to Huggys. Your goal is to maximize J&J’saverage market share during the next 12 months,where the average is computed from each month’sending share. Determine an appropriate advertisingpolicy. (Hint: Make sure you enter a nonzero trialvalue for each month’s advertising expense or Solvermight give you an error message.)
2) A buyer for a large sporting goods store chain must place orders for professional footballs with the footballmanufacturer six months prior to the time the footballs will be sold in the stores. The buyer must decidein November how many footballs to order for sale during the upcoming late summer and fall months.Assume that each football costs the chain $45. Furthermore, assume that each can be sold for a retail priceof $90. If the footballs are still on the shelves after next Christmas, they can be discounted and sold for$35 each. The probability distribution of consumer demand for these footballs (in hundreds) during theupcoming season has been assessed by the market research specialists and is presented below. Finally,assume that the sporting goods store chain must purchase the footballs in lots of 100 units. Demand Probability 4 0.30 5 0.50 6 0.20 a) Construct a decision tree…
1. Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model? Are these assumptions or approximations acceptable to you? 2. Suppose that a manager has a choice between the following two mathematical models of a given situation: (a)a relatively simple model that is a reasonable approximation of the real situation, and (b)a thorough and complex model that is the most accurate mathematical representation of the real situation possible. Why might the model described in part (a) be preferred by the manager?
Confederate Express Service is attempting to determinehow its shipping costs for a month depend on the numberof units shipped during a month. For the last 15 months, thenumber of units shipped and total shipping cost are given inTable 24 (file Ship.xls). Units TotalMonth Shipped Shipping Cost1 300 $1,0602 400 $1,3803 500 $1,6404 200 $7405 300 $1,0606 350 $1,1907 460 $1,5208 480 $1,5809 120 $54010 760 $2,42011 580 $2,20012 340 $1,47013 120 $79014 100 $72015 500 $1,960
The secondary market is the market wherein:\\nQuestion 2 options:\\n\\nthe government is either the buyer or the seller of the security.\\n\\ninvestors buy from and sell to other investors.\\n\\nthe security issuer is the buyer and the seller is a member of the general public.\\n\\none issuer exchanges securities directly with another issuer.\\n\\nthe security issuer is the seller and the buyer is a member of the general public.
At the beginning of month t, farmer Smith has xtbushels of wheat in his warehouse. He has the opportunityto sell wheat at a price st dollars per bushel and can buywheat at pt dollars per bushel. Farmer Smith’s warehousecan hold at most C units at the end of each month.a Formulate a recursion that can be used to maximizethe total profit earned during the next T months.b Let ft(xt) be the maximum profit that can be earnedduring months t, t 1, . . . , T, given that xt bushels of wheat are in the warehouse at the beginning of month t. By working backward, show that for appropriately cho-sen constants at and bt, ft(xt) at btxt c During any given month, show that the profit-maximizing policy has the following properties: (1) The amount sold during month t will equal either xt or zero.(2) The amount purchased during a given month will beeither zero or sufficient to bring the month’s endingstock to C bushels.
I need help with everything, please. Formulate the problem and submit formulation - no need to solve. 1. An investment advisor at Shore Financial Services wants to develop a model that can be used to allocate investment funds among four alternatives: stocks, bonds, mutual funds, and cash. For the coming investment period, the company developed estimates of the annual rate of return and the associated risk for each alternative. Risk is measured using an index between 0 and 1, with higher risk values denoting more volatility and thus more uncertainty. Because cash is held in a money market fund, the annual return is lower, but it carries essentially no risk. The objective is to determine the portion of funds allocated to each investment alternative in order to maximize the total annual return for the portfolio subject to the risk level the client is willing to tolerate. Total risk is the sum of the risk for all investment alternatives. For instance, if 40% of a client’s funds are…
(1) When chef Paolo prices his speciality ‘pizza-n-all’ meal at £25, he sells 20 meals a day. When he prices his pizza meal at £22, he sells 21 meals a day. Suppose Paolo reduces his price from £25 to £22. Explain the impact of the price reduction on the revenue he receives from the first 20 meals he sells. Total Revenue – Price X Quantity. Revenue @ £25 = £25 X 20 = £500. Revenue @ £22 = £25 X 20 = £440 The impact of the price reduction is a reduction in total revenue of £60 (-12%) over the first 20 meals that he sells. Calculate the additional revenue generated from the additional meals he sells when he lowers his price to £22. Total Revenue = Price X Quantity. Total Revenue @ £22 = £22 X 21 = £462. Additional Revenue = Revenue @ £25 – revenue @ £22 = £500 - £462 = -£38. Calculate the marginal revenue Paolo receives from the 21st meal. How does that amount relate to the amounts you calculated in (a) and (b)? (3%) Suppose Paolo reduces his price from £25 to £22. Explain…
Please answer # 3 & 4 only. The profits of the four major networks (CBS, NBC, ABC and Fox) depend significantly on the ratings of its prime time shows. The higher the ratings, the higher the price the network can charge for advertising and the higher the profits of the network. To keep things simple, we will focus on two networks, CBS and NBC, and two of the prime time spots, 8-9PM and 9-10PM. Each network needs to decide which time slot to place its hit show, 8-9PM or 9-10PM. The other time slot will be filled by a run of the mill show. The following payoff matrix shows the total number of viewers (in millions) if each network places its hit show in each of the time slots: CBS 8-9PM time slot 9-10PM time slot NBC 8-9PM time slot 100, 110 85, 120 9-10PM time slot 120, 40 70, 90 If you are the program manager for CBS, what time slot would you place your hit TV show (assuming that your goal is to maximize the number of viewers)? Please…
Suppose we are borrowing $1,000 at 12% annual interestwith 60 monthly payments. Assume equal payments aremade at the end of month 1, month 2, . . . month 60. Weknow that entering into Excel the functionPMT(.01, 60, 1,000)would yield the monthly payment ($22.24).It is instructive to use LP to determine the montly payment. Let p be the (unknown) monthly payment. Each monthwe owe .01 (our current unpaid balance) in interest. Theremainder of our monthly payment is used to reduce the unpaid balance. For example, suppose we paid $30 each month.At the beginning of month 1, our unpaid balance is $1,000.Of our month 1 payment, $10 goes to interest and $20 topaying off the unpaid balance. Then we would begin month2 with an unpaid balance of $980. The trick is to use LP todetermine the monthly payment that will pay off the loan atthe end of month 60.
Problem 3: Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express each of the following statements.1. Everybody loves Jerry.2. Everybody loves somebody.3. There is somebody whom everybody loves.4. Nobody loves everybody.5. There is somebody whom Lydia does not love.6. There is somebody whom no one loves.7. There is exactly one person whom everybody loves.8. There are exactly two people whom Lynn loves.9. Everybody loves himself or herself.10. There is someone who loves no one besides himself or herself.
#17FAVORABLE UNFAVORABLEMARKET MARKETEQUIPMENT ( $) ($)Sub 100 300,000 –200,000Oiler J 250,000 –100,000Texan 75,000 –18,000For example, if Ken purchases a Sub 100 and ifthere is a favorable market, he will realize a profitof $300,000. On the other hand, if the market is unfavorable, Ken will suffer a loss of $200,000. ButKen has always been a very optimistic decisionmaker.(a) What type of decision is Ken facing?(b) What decision criterion should he use?(c) What alternative is best? #18Although Ken Brown (discussed in Problem 3-17) is the principal owner of Brown Oil, his brother Bob iscredited with making the company a financial success. Bob is vice president of finance. Bob attributeshis success to his pessimistic attitude about business and the oil industry. Given the information fromProblem 3-17, it is likely that Bob will arrive at a different decision. What decision criterion should Bobuse, and what alternative…

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