States of Nature Decision Alternative S1 S2 di 250 100 |25 d2 100 100 75 a. Construct a decision tree for this problem. b. Suppose that the decision maker obtains the probabilities P(s,) = .65, P(s,) = .15, and P(s3) = .20. Use the expected value approach to determine the optimal decision.
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The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature.
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- Types of Compensation People don't work for free, and how much employees are paid for their work is a complicated issue. Also, designing a fair compensation plan is an important task because pay and benefits represent a substantial portion of an organization's expenses. Wages that are too high may result in the company's products being priced too high, making them uncompetitive in the market. Wages that are too low may damage employee morale and result in costly turnover. Financial compensation falls into two categories: wages and salaries. Additionally, there are three common types of financial incentives: commission, bonuses, and profit sharing. Read the statements describing compensation attributes and the various employee examples and select the most appropriate form of compensation each describes. 1.Paid by the Hour-Employees receive these financial rewards in return for the number of hours they have worked. Wages 2. Frank's Overtime Pay-Frank works overtime at the factory right…The first step in formulating an LP problem is A graph the problem. construct the objective and the constraints. O perform a sensitivity analysis. understand the managerial problem being faced.(Devore: Section 3.2 #15) Many manufacturers have quality control programs that include inspec- tion of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected from each batch of inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair (1,2) represents the selection of boards 1 and 2 for inspection. (a) List the ten different possible outcomes. (b) Suppose that boards 1 and 2 are the only defective boards in a batch. Two boards are to be chosen at random. Define X to be the number of defective boards observed among those inspected. Find the probability distribution (pmf) of X. (c) Let F denote the cdf of X. Determine F(0), F(1) and F(2); then obtain F(x) for all other x.
- If Starbright Coffee Shop could get 1 more pound of coffee, which one should it be?What would be the effect on sales of getting 1 more pound of this coffee?• If the costs associated with increasing brewing capacity from 30 gallons to 40 gallonsper day come out to roughly $15 per day, would such a change be profitable?• If the shop spent $20 per day on advertising that would increase the relative demandfor Pomona to twice that of Coastal, should it be done?The budget for a project on voting trends includes $3000 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 16 interviews for $100. Each graduate student will conduct 21 interviews for $150. Each faculty member will conduct 25 interviews for $200. No more than 17 interviewers can be hired. How many of each type of interviewer should be hired in order to maximize the number of interviews? What is the maximum number of interviews? undergraduate students, graduate students, and faculty members should be hired to maximize the number of interviews. The maximum number of interviews is (Type a whole number.) CWall Street financiers 3,800 4,100 2,200 5,300 artists 1,300 1,700 2,300 2,100 Consider a research design in which four Wall Street financiers and four artists are measured on calorie intake. Their occupation is what sort of variable, standing in as the independent variable? (This is a very short answer).
- The Harriet Hotel in downtown Boston has 100 rooms that rent for $150 per night. It costs the hotel $30 per room in variable costs (cleaning, bathroom items, etc.) each night a room is occupied. For each reservation accepted, there is a 5% chance that the guest will not arrive. If the hotel overbooks, it costs $200 to compensate guests whose reservations cannot be honored. How many reservations should the hotel accept if it wants to maximize the average daily profit?Beagle Clothiers uses a weighted score for the evaluation and selection of its suppliers of trendy fashion garments. Each supplier is rated on a 10-point scale (10 = highest) for four different criteria: price, quality, delivery, and flexibility (to accommodate changes in quantity and timing). Because of the volatility of the business in which Beagle operates, flexibility is given twice the weight of each of the other three criteria, which are equally weighted (the sum of the four weights equals 1). The table shows the scores for three potential suppliers for the four performance criteria. Supplier A Supplier decimal place.) Criteria 1. Price 2. Quality 3. Delivery 4. Flexibility Based on the highest weighted score, which supplier should be selected? should be selected, with a total weighted score of 6 7 5 co C Rating Supplier B Supplier C 8 9 8 6 8 7 5 8 6 (Enter your response rounded to oneThe budget for a project on voting trends includes $4200 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 18 interviews for $100. Each graduate student will conduct 24 interviews for $150. Each faculty member will conduct 29 interviews for $200. No more than 22 interviewers can be hired. How many of each type of interviewer should be hired in order to maximize the number of interviews? What is the maximum number of interviews? undergraduate students, graduate students, and faculty members should be hired to maximize the number of interviews.
- 2. A liberal arts college has an endowment that pays engineering students a scholarship if they earn over a certain GPA in their junior year. There are three types of junior engineering students in the college: 40% are in chemical engineering, 25% are in electrical engineering and 35% are in mechanical engineering. It is known that both junior electrical and mechanical engineering students are twice as likely to earn the scholarship as junior chemical engineering students. If a chemical engineering student earns the scholarship they receive $2000 and if an electrical or mechanical engineering student earns the scholarship they receive $1000. Given that a junior engineering student earns a scholarship, find the expected amount that is paid to the student. Give answer to the fourth decimal.Refer to the production possibilities curves for Chairland and Tableland. Chairland can produce 36 chairs per day and no tables, or 18 tables table per day and no chairs. Tableland can produce 40 chairs per day and no tables, or 40 tables per day and no chairs. If the two countries split the difference between the buyer's willingness to pay for tables and the seller's willingness to accept, in terms of the number of chairs for 1 table, the terms of trade will be . (Enter your response rounded to one decimal place.) Country Quantity per day Opportunity cost of chairs Opportuity cost of tables Tableland 40 chairs, 40 tables 1 table 1 chair Chairland 36 chairs, 18 tables 1/2 table 2 chairs