Given the region of feasible solutions with corner points of (0,3), (4,2), (6,3), and (6,6), find the corner point that would minimize the objective function z = x +10y and state the minimum. Question 3 options: 66 3 24 36
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- Problem 7-37 (Algorithmic) The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 65% mild cheddar and 35% extra sharp, and the Zesty blend contains 75% mild cheddar and extra sharp. This year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar cheese for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.30 per container. If each container of Regular is sold for $1.80 and each container of Zesty is sold for $2.10, how many containers of Regular and Zesty should New England Cheese produce? Do not round your interim computations. If required, round your answers to the nearest whole number. Let R number of containers of…Previous Problem Problem List Next Problem (1 point) Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 9.2 hours of sleep, with a standard deviation of 2.24 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed. (a) What is the probability that a visually impaired student gets less than 6.4 hours of sleep? answer: (b) What is the probability that a visually impaired student gets between 6.2 and 8.84 hours of sleep? answer: (c) Thirty percent of students get less than how many hours of sleep on a typical day? answer: hours Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.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…
- Q4) 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.What is brown-gibson model for plant location>?>?>>??>?>find its optimal solution by inspection. Minimize w = 10y1
- Theme Park (5S-7A) The lease of Theme Park, Inc., is about to expire. Management must decide whether to Renew the lease for another 10 years or to Relocate near the site of a proposed new motel. The town planning board is currently debating the merits of granting approval to the motel. A consultant has estimated the net present value of Theme Park's two alternatives under each state of nature as shown below. Suppose that the management of Theme Park, Inc., has decided that there is a 0.20 probability that the motel's application will be approved. Options Renew Relocate Alternative Renew Relocate Motel Approved a-1. If management uses maximum expected monetary value as the decision criterion, calculate expected monetary value for the alternatives "Renew" and "Relocate"! $ 400,000 2,000,000 O Renew O Relocate Motel Rejected $4,000,000 100,000 Expected Value a-2. Which alternative should it choose? b. If management has been offered the option of a temporary lease while the town planning…Solve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?The Bayside Art Gallery is considering installing a video camera security system to reduce its insurance premiums. A diagram of the eight display rooms that Bayside uses for exhibitions is shown in the figure below; the openings between the rooms are numbered 1 through 13. Entrance Room 1 Room 2 1 4 8 12 Room 3 Room 4 7 Room 5 10 Room 6 2 5 13 Room 7 11 Room 8 A security firm proposed that two-way cameras be installed at some room openings. Each camera has the ability to monitor the two rooms between which the camera is located. For example, if a camera were located at opening number 4, rooms 1 and 4 would be covered; if a camera were located at opening 11, rooms 7 and 8 would be covered; and so on. Management decided not to locate a camera system at the entrance to the display rooms. The objective is to provide security coverage for all eight rooms using the minimum number of two-way cameras.
- Explain or define each of these terms:a. Laplace criterionb. Minimax regretc. Expected valued. Expected value of perfect informationtrue or false 7. The expected utility implies that the decision maker regards this option as being equivalent to a lottery offering a same chance of the best/best outcome (and a complementary probability of the worst/worst outcome)A manufacturer wants to design an open box with a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume? Picture (suggested, not required) Primary equation: Constraint (secondary) equation: Maximization formula Interval of optimization (domain) Use the conclusion of the extreme value theorem to answer question posed