Q1: Fred Jonasson manages a family-owned farm. To supplement several food products grown on the farm,Fred also raises pigs for market. He now wishes to determine the quantities of the available types of feed(corn, tankage, and alfalfa) that should be given to each pig. Since pigs will eat any mix of these feed types,the objective is to determine which mix will meet certain nutritional requirements at a minimum cost. Thenumber of units of each type of basic nutritional ingredient contained within a kilogram of each feed typeis given in the following table, along with the daily nutritional requirements and feed costs:NutritionalIngredientCarbohydratesProteinVitaminsCostKilogramofCorn90301084KilogramofTankage20802072Formulate a linear programming model for this problem.KilogramofAlfalfa40606060MinimumDailyRequirement200180150

The linear programming model for this problem can be formulated as follows:Let x = Kilograms of…

Answered: Q1: Fred Jonasson manages a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 56P

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Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
Q1 A fourth-year engineering student is seeking part-time jobs to get work experience and financial income. The student can set aside 300 hours for the planning period in which she wants to work. As a consequence of the interviews, the student received four employment offers. These works are composed of multiple tasks. She can choose to work for any number of tasks of one or more works. In the table below, required time the student should spend on each of these tasks, the number of tasks she may do for each of these works, and the earnings she will get if she accomplishes each task once are given. Work Type Required time per task (hrs) # of tasks Fee per Task ( Dollarx 100) A 100 20 В 2 50 10 4 30 7 3 20 3 а. The student wants to find out which work(s) to select and number tasks she will do in order to earn the most amount of money. Formulate a dynamic programming recursion that maximizes the student's total earnings from their work selection decisions (Define State, Stage, Decision,…
Q2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours, the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution Shaft
3. Joe's Supermarket is an international market that features food items from around the world. Joe is struggling to attract patrons with all of the competition nearby and is considering changing his pricing strategy to include comparisons of other supermarkets nearby. Why did Joe make this decision? Joe needs to find a balance between quality and perception and anchoring his price will help him do that. Joe needs to find a balance between quality and perception and anchoring his price will prevent him from doing that. Joe needs to find a balance between quality and sacrifice and anchoring his price will help him do that. Joe needs to find a balance between quality and sacrifice and anchoring his price will prevent him from doing that.
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Sensitivity Report in EXCEL for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Clearly state the decision variables, objective function and constraints. The objective function and constraints should be written as inequality or equality formulas. b) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit?
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Suppose the feasible region from a set of constraints in a linear programing problem is given in the shaded region of the attached graph. If the objective function is to minimize Cost = 9x + 4y, what would be the optimal solution? What is the resulting minimized cost? SOLVER is not used in this question. Explain your reasoning.
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit?
D&R A3 3 - 2 Question 3. FRA Pricing, Valuation, Payoff, and Hedging Today is June 1. Sustainable Corporation has an obligation of $25 million coming due on August 1. The company is planning to borrow this amount on August 1 to fulfill its obligation, and plans to pay back the loan on December 1. The company’s borrowing rate is LIBOR + 125 basis points. The company’s bank presents it with the following LIBOR term structure: # days LIBOR 30 0.90% 60 1.00% 90 1.05% 120 1.10% 150 1.15% 180 1.18% 210 1.20% 240 1.21% For the calculation of interest, the bank assumes 30 days in a month, and 360 days in a year. Ms. Devro, the VP Finance of Sustainable, is worried that LIBOR will increase between June and August, thus increasing the company’s borrowing cost. She advises that the company enters into a forward rate agreement (FRA) with its bank to hedge its interest rate risk. She has asked you, the treasurer of the company, to…
QS 10-19A (Algo) Computing bond price C2 Compute the selling price of 8%, 10-year bonds with a par value of $220,000 and semiannual interest payments. The annual market rate for these bonds is 10%. Use present value Table B.1 and Table B.3 in Appendix B. Note: Round all table values to 4 decimal places, and use the rounded table values in calculations. Cash Flow $220,000 par (maturity) value $8,800 interest payment Price of Bond Table Value Present Value

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