. Identify the feasible region for the following set of constraints: 0.5A + 0.25B> 30 1A + 5B > 250 0.25A + 0.5B < 50 A, B>0
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- 2. Maximize subject to p = x + 2y X +3y24 2x + y 18 x ≥ 0, y ≥ 0.Bimala is interested in buying a new house and has found a house she likes in Surry Hills. Bimala comes to you for advice about which of the following items would pass to her automatically if she buys the house: • A plastic bird bath which rest on the ground in the back garden; • A concrete swimming pool in the back garden; • A tapestry attached by small tapestry nails to the wall of the living room; and • A barbecue on wheels on the back deck. Advise Bimala. In your advice, please ensure that you refer to relevant case law. *NOTE: This is business law question. can you write more details about the question and answer.For a certain civil engineering system, it is sought to maximize the benefits, which is given by the expression: Z=3x+5y. The decision variables are x (the amount of resource type 1 to be used) and y (the amount of resource type 2 to be used). • The amount of resource type 1 should be at least 3 units. • The amount of resource type 2 should be at least 3 units. The difference between the amount of ● resource type 2 and the amount resource type 1 should not exceed 6. • The total amount of resource types 1 and 2 should not exceed 12 units. a. Identify the obiective function for this problem. b. Identify and write the constraints. c. Provide a sketch graph for the constraint set. d. Clearly show the feasible region. e. Label all extreme points (or vertices) of the feasible region and indicate their coordinates. f. Solve the optimization problem.
- Suppose the following costs for a 10-hour round-trip flight apply to the time frame and expenses of an unscheduled 5-hour charter flight from Baltimore to Las Vegas (and return the next day) on a seven-year-old Boeing 737–800 with 120 occupied seats. Some costs listed in the table have been aggregated up to the flight level from a seat-level decision where they are incurred. Others have been allocated down to the flight level from an entry/exit or maintain-ownership company-level decision. Still other costs vary with the go/no go flight-level decision itself. Your job is to analyze each cost item and figure out the “behavior of cost”—that is, with which decision each cost varies. Fuel and landing fees =$5,200 Quarterly airframe maintenance re: FAA certificate = $1,000 Unscheduled engine maintenance per 10 flight hours =$1,200 Pro rata time depreciation for seventh year of airframe = $7,200 Flight pay for pilots per round-trip flight = $4,200 Long-term hangar facility lease = $6,600…TUTORIAL DECISION ANALYSIS 1. e) 0 B) 2. Even though independent gasoline stations have been having a difficult time, Susan Solomon has been thinking about starting her own independent gasoline station. Susan's problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table: Size of First Station Small Medium Large Extra Large Stock Market Bonds CDs Good Market (5) Probability a) b) 50,000 80,000 Decision Alternative. 100,000 300,000 Fair Market (S) 20,000 30,000 30,000 25,000 For example, if Susan constructs a small station and the market is good, she will realize a profit of $50,000. what is the criterion of realism decision? Use an a value of 0.8. Develop an opportunity loss table? What is the minimax regret decision? Mickey Lawson is considering investing some money that he…3) Maximize Z= 2x, +x2 +3x 3 X+x2+2x3 <25 + X3 5 8 X2+ x3 S10 X1, X2, X3 2 0 Subject to IMe
- II. + James Scott is considering the possibility of opening a small outfit shop on Sta. Maria District, a few blocks from St. Green Ville College. She has located on a mall that attracts students. To open a small shop, medium sized shop, or no shop at all are her options. The market can be good, average, or bad. The probabilities for these three possibilities are 30% for good market, 50% for an average market, and 20% for bad market. The profit or loss for the said market conditions are given in the table below; ALTERNATIVE Small Shop Medium Sized Shop No Shop GOOD 150,000 200,000 0 AVERAGE 50,000 70,000 0 a) Calculate the Expected Value of Perfect Information (EVPI) b) What do you recommend? BAD -80,000 -120,000 0Q4) A rural country administration wants to locate several medical emergency response units so that it can respond to calls within the county within eight minutes of the call. The county is divided into seven population zones. The distance between the centers of each pair of zones is known and is given in the matrix below. The response units can be located in the center of population zones 1 through 7 at a cost (in hundreds of thousands of dollars) of 100, 80, 120 110, 90, 90, and 110 respectively. Assuming the average travel speed during an emergency to be 60 miles per hour, formulate an appropriate set covering model to determine where the units are to be located and how the population zones are to be covered.8. Palmer Jam Company is a small manufacturer of several different jam products. One product is an organic jam that has no preservatives, sold to retail outlets. Susan Palmer must decide how many cases of jam to manufacture each month. The probability that demand will be 5 cases is 0.05, for 6 cases it is 0.30, for 7 cases it is 0.50, and for 8 cases it is 0.15. The cost of every case is $45, and the price Susan gets for each case is $90. Unfortunately, any cases not sold by the end of the month are of no value as a result of spoilage. Part 2 Based on the given information, Susan's conditional profits table for jam is: Demand 5 cases 6 cases 7 cases 8 cases Produce p=0.05 p=0.30 p=0.50 p=0.15 5 cases __________ ___________ ___________ ____________ b) The number of cases that Susan should produce to achieve maximum expected value (EMV) is _____ cases. c) The EMV of stocking this number of cases is $_______.
- A circus is scheduled to appear in a city on a given date. The profits obtained are heavily dependent on the weather which can be classified as "good" or" bad". The circus owners may choose to setup operations in a large open field that is centrally located or rent a small building to stage a small version of the circus. The small building is not expected to be adversely affected by bad weather – thus will not affect the circus for it is well secure and has covered parking for the guests. The following shows the profits of the options and states of nature: States of nature Decision alternatives Set up in field Rent small building | Probability Good Bad $14,500 $5,000 -$15,000 $4,000 P(G)=0.5 P(B)=0.5 The circus owners may choose to delay the decision until the day before the event is due. At this time they can obtain the one-day weather report (free) which is usually reliable. This delay will however increase their set up cost by $1000.00 or if they choose to rent, the rental cost will…A firm is considering the replacement of a machine, whose cost price is Rs 12,200 and its scrap value is Rs 200. From experience the running (maintenance and operating) costs are found to be as follows: Year 1 2 3 4 5 6 7 8 Running Cost 200 500 800 1,200 1,800 2,500 3,200 4,000 When should the machine be replaced?There are 3 different fire alarm systems in the store. System A detects fire with a probabilityof 0.6 and costs $40, the B detects fire with a probability of 0.91 and costs $100, the Cdetects fire with a probability of 0.8 and costs $60. Which option is better: to set one systemB or two systems A and C?