The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): State of Nature Low Demand Medium Demand High Demand Decision Alternative s1 s2 s3 Manufacture, d1 -20 40 100 Purchase, d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30.

The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): State of Nature Low Demand Medium Demand High Demand Decision Alternative s1 s2 s3 Manufacture, d1 -20 40 100 Purchase, d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

	State of Nature
	Low Demand	Medium Demand	High Demand
Decision Alternative	s₁	s₂	s₃
Manufacture, d₁	-20	40	100
Purchase, d₂	10	45	70

Similar questions

The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 12 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. 5 6 7 Day Store 1 Store 2 1 Difference (Store 1 - Store 2) Send data to calculator ✓ 2 3 786 878 827 645 708 500 699 140 Yes No 4 646 802 712 579 527 367 76 115 66 181 133 8 (a) State the null hypothesis H and the alternative hypothesis H₁. H:D H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ 970 9 10 11 12 618 679 762 635 271 572 324 215 698 530 Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis…
Over the span of a month, a school tracks student choices at lunch. They find that 56% of all students buy milk with lunch and 32% buy a piece of fruit. If 22% of all students buy both milk and fruit, which of the following represents the percent of students who buy neither? (1) 28% (3) 42% (2) 34% (4) 46%
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 one
You are a hotel manager and you are considering four projects that yield different payoffs, depending upon whether there is an economic boom or a recession. The potential payoffs and corresponding payoffs are summarized in the accompanying table. \table[[Project, Boom (50%), Recession (50%) A $20 - $10 be - $10, $20 C $30 $30 D $50 - $50 Options A900 B225 Czero D1600
Pricilla Phranklin opened her clothing store, Pricilla Phashions, in Downtown Dover a little over three years ago. Pants, skirts, blouses, and shirts have fairly consistent sales, while things like shorts, sweater and outerwear are highly seasonal. On the other hand, dresses are a little harder to predict. Pricilla is hiring you to arrive at the best forecasting method for dresses. The following table contains three years of dress sales data Year 3 Year 1 Year 2 Mont Dema Dema h nd nd nd Jan 186 217 212 Feb 222 220 245 Mar 220 239 252 Apr 356 362 376 720 May 727 757 [1] Jun 367 376 404 Jul 340 341 354 Aug 293 290 324 Sep 305 296 338 Oct 600 600 618 325 318 679 708 4613 4694 Nov Dec Total 1. 2. 3. Dema 4. 5. 356 713 Using the dress data above, calculate the following 4949 Forecast year 3 using a simple 3 period moving average Forecast year 3 Calculate a forecast using the exponential smoothing method. Assume a = 0.20 (a) Using the information you have for years 1 & 2, calculate a…
College admissions For high school students graduatingin 2007, college admissions to the nation’s most selectiveschools were the most competitive in memory. (The NewYork Times, “A Great Year for Ivy League Schools, butNot So Good for Applicants to Them,” April 4, 2007).Harvard accepted about 9% of its applicants, Stanford10%, and Penn 16%. Jorge has applied to all three.Assuming that he’s a typical applicant, he figures that hischances of getting into both Harvard and Stanford mustbe about 0.9%.a) How has he arrived at this conclusion?b) What additional assumption is he making?c) Do you agree with his conclusion?
snip
Psychologists Erik Erikson suggested that individuals go through eight developmental stages of life. Erikson believed that at stage 8 (age 65 to death), an adult's fear of death can be predicted by the satisfaction they feel when reflecting back on their lives. To investigate, a psychiatrist interviewed a random sample of adults age 65 and older, and scored them on their satisfaction with their lives and their fear of death. The psychiatrist wants to confirm Erikson's theory. What can be concluded with a = 0.01? fear of death satisfied 4 3 4 2 2 10 3 2 4 7 3 4 8. 4 a) Select and compute the appropriate statistic. ---Select--- b) Input the appropriate value(s) to make a decision about Ho. p-value X ; Decision: Fail to reject H0 v c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below.. Effect Size = 0.266 ; Magnitude: na d) Make an interpretation based on the results. More life satisfaction…
You are considering purchasing a carpet cleaning business that will cost $40,000 for startup. Being a detail-oriented entrepreneur, you have looked into the performance of other franchises for this company and have found the following. 35% of the franchises close after one year with a net loss of $48,000. 30% of the franchises continue to operate but have a net profit of only $24,000. 35% of the franchises are doing quite well with a net profit of $100,000 in their first year. If you are only concerned with the first year’s outcomes, what Is the expected value of the franchise?