Question:
A TV manufacturer has currently two factories in the US; Iowa and Kansas; and serves to 5 markets: Northeast, Southeast, Midwest, South and West
Iowa has a capacity of 1M, and Kansas has 1.5M.
Each TV sells for $750. It’s expected that the demand will grow within the nextfew years.
Thus, the firm plans to open a new factory in ONE of the two possible locations: Texas OR Indiana, each has a capacity of 1.5M for production
Annual variable cost (i.e. production and shipping) per TV, fixed cost at each location and the demand are given in the Excel provided.
The manufacturer wants to maximize its profit. Which new factory location, Texas OR Indiana, should the firm consider? Explain why?
| Input Data | Sale price => | $750 | ||||||
| Variable Cost (Production and Shipping) ($/unit) | Annual Fixed Cost (million $) | Capacity '000s units | ||||||
| Northeast | Southeast | Midwest | South | West | ||||
| Iowa | 185 | 180 | 175 | 175 | 200 | 150 | 1000 | |
| Kansas | 170 | 190 | 180 | 200 | 220 | 200 | 1500 | |
| Texas | 180 | 180 | 185 | 185 | 215 | 200 | 1500 | |
| Indiana | 220 | 220 | 195 | 195 | 175 | 200 | 1500 | |
| Demand ('000 units) | 1050 | 600 | 600 | 450 | 900 | |||
| Decision Variables and Constraints | ||||||||
| Quantity Shipped | ||||||||
| Northeast | Southeast | Midwest | South | West | Open/Close (1/0) | Capacity Constraints | Profit | |
| Iowa | ||||||||
| Kansas | ||||||||
| Texas | ||||||||
| Indiana | ||||||||
| Demand constraints=> | ||||||||
| Answer=> | Objective Function => | |||||||
In: Operations Management
1. A 0.4 kg ball hits the ground (vertically) at a speed of 6 m/s, bouncing back in the opposite direction at 4 m/s. Calculate the magnitude of the impulse provided by the ground to the ball.
A. 2 Ns
B. 10 Ns
C. 4 Ns
D. 0.8 Ns
2.Calculate the recoil speed of a 1.4 kg rifle shooting 0.006 kg bullets with muzzle speed of 800 m/s
A. 3.43 m/s
B. 571 m/s
C. 1.22 m/s
D. 6.42 m/s
3. A 20 kg cart moving at 10 m/s bumps from behind an 80 kg cart initially moving at 2 m/s in the same direction. The two carts stick to each other after the collision. Calculate the speed of the carts after they collide.
A. 8.4 m/s
B. 3.6 m/s
C. 7.6 m/s
D. 0.4 m/s
4. A 40 kg cart moving from South toward North at 6 m/s has a totally inelastic collision with a 20 kg cart moving at 3 m/s in the opposite direction. What is the speed and the direction of motion of the two carts just after the collision?
A. 3 m/s toward North
B.5 m/s toward South
C.5 m/s toward North
D.3 m/s toward South
In: Physics
Use the following creative brief for this exercise.
Product: Porsche Objective: To change consumers view that the Porsche can be driven every day Target Audience: 30- to 55-year-old consumers, slightly more male, college educated, with annual incomes of approximately $100,000. Psychographically, the targeted market is a group known as individualists. They tend not to buy mainstream products. In automobile selection, they place greater emphasis on design elements, distinctiveness, and utility. Social status is important. Background Information: Market research found that potential customers balked at the idea of buying a car just to sit around. When asked what kept them from driving the car every day, they said, “I don’t feel comfortable driving in city traffic. It doesn’t have the technology that I need to manage my everyday life. It doesn’t have space for passengers. Message Theme: The Porsche can be driven every day for normal activities. It does not have to sit in the garage and be driven only on weekends. It has the newest technology and can comfortably carry passengers.
a) As an account executive for an advertising agency, discuss the creative brief in terms of the completeness of the information provided and whether the objective is realistic. What additional information should Porsche provide before a creative can begin working on the account?
b) The media planner for the Porsche account suggests a media plan consisting of cable television, print advertising, internet ads, and network advertising on Family Guy, CSI, Monday Night Football, Big Bang Theory, and American Idol. Evaluate this media plan in light of the creative brief’s objectives. Can these shows reach the target audience? What information does a creative and the account executive want from the media planner before starting work on actual commercials?
c) Using the information provided in the creative brief, prepare a magazine advertisement. Which magazines might match the target audience? Why?
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5) A research group has collected information about response times in humans. They want to compare the response times of people early in the workday with response times of participants late in the workday. The response times appear below. Since response time over the population is not normally distributed they use a Mann-Whitney U test. Compute U for these data and evaluate whether there is a significant difference between groups.
Early day 300 275 328 400 280 335 310
Late in the day 325 310 295 375 380 410 390
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A physician is performing a study of patients recently treated in your department. The purpose of the study is to compare local control and toxicity of early-stage prostate cancer patients treated with high dose per fraction radiation therapy versus those treated with conventional dose per fraction radiation therapy. A total of 437 patients will be included in the study (both groups). The patient population being studied is:
| A. |
All men |
|
| B. |
The 437 patients included in the study. |
|
| C. |
All early-stage prostate cancer patients |
|
| D. |
All prostate cancer patients |
In: Biology
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Dementia is the loss of the intellectual and social abilities severe enough to interfere with judgment, behavior, and daily functioning. Alzheimer’s disease is the most common type of dementia. In the article “Living with Early Onset Dementia: Exploring the Experience and Developing Evidence-Based Guidelines for Practice” (Alzheimer’s Care Quarterly, Vol. 5, Issue 2, pp. 111–122), P. Harris and J. Keady explored the experience and struggles of people diagnosed with dementia and their families. A simple random sample of 21 people with early-onset dementia gave the following data on age at diagnosis, in years. (60 58 52 58 59 58 51 61 54 59 55 53 44 46 47 42 56 57 49 41 43) At the 1% significance level, do the data provide sufficient evidence to conclude that the mean age at diagnosis of all people with early-onset dementia is less than 55 years old? Assume that the population standard deviation is 6.8 years and note that ¯x = 52.5 years.
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