3. Ponderosa Paint and Glass makes paint at three plants. It then ships the unmarked paint cans to a central warehouse. Plant A supplies 35% of the paint, and past records indicate that the paint is incorrectly mixed 10% of the time. Plant B contributes 40%, with paint mixed incorrectly 5% of the time. Plant C supplies 25%, with paint mixed incorrectly 15% of the time. If Ponderosa guarantees its product and spent $20,000 replacing improperly mixed paint last year, how should the cost be distributed among the three plants?
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- A company that sells digital devices has its stores in several cities in Albania. The Marketing Manager plans to transmite an advertisement for the digital camera product on local television and watch sales of that product, to see the link that exists with the number of ads transmitted and product sales. After two days, the results were presented in the following table: City Trasmitted Sales(in 000 Euro) Durrës 4 15 Sarandë 2 8 Fier 5 21 Berat 6 24 Lezhë 3 17 S S = 1.58 S = 6.1 a) What is the dependent variable?b) Construct the scatterdiagram of this connection.c) Calculate the coefficient of variation and the coefficient of determination.d) Interpret the relationship between two variables.e) What is the equation that connects these two variables? Explain the values for a and b.f) What is the expected level of sales if 10 ads are trasmitted1. A wood manufacturer must decide whether to merge with a larger company to make more investments. If they merge and it is a good sales year, there will be a $910,000 profit; if they merge and it is a poor sales year, there will be a deficit of $ 330,000. If they do not merge and it is a good sales year there will be a $525,000 profit; if they do not merge and it is a poor sales year there will be a $97,000 profit. If the probability of a good sales year is 0.26 and the probability of a poor sales year is 0.76, would merging with the larger company maximize the expected profit?b. Five Sales Executives have been told by their company Heavy Machines Limited (HML) that eachsales executive, will be relocated to work at one of five branches of their company, in theCaribbean. The cost to relocate a sales executive at each of the five branches is shown in Table 8below: SalesExecutiveBranchJamaica Antigua/Barbuda Trinidad&TobagoBarbados St. LuciaZenk Murt $2,550 $2,300 $ 2,700 $2,300 $2,400Rangle Tang $2,400 $2,700 $2,800 $2,600 $2,400Atil Heglam $2,600 $2,400 $2,700 $2,500 $2,400Justop Brelim $2,400 $2,500 $3,000 $2,400 $2,500Mesk Lathim $2,400 $2,300 $2,500 $2,800 $2,700 The costs shown in Table 8, are in Eastern Caribbean (EC) dollars. (i) Determine the optimal relocation of the five Sales Executives. Compute and state the total minimum cost.
- Sharp Outfits is trying to decide whether to ship some customer orders now via UPS or wait until after the threat of another UPS strike is over. If Sharp Outfits decides to ship the requested merchandise now andthe UPS strike takes place, the company will incur $60,000 in delay and shipping costs. If Sharp Outfits decides to ship the customer orders via UPS and no strike occurs, the company will incur $4000 in ship-ping costs. If Sharp Outfits decides to postpone shipping its customer orders via UPS, the company will incur $10,000 in delay costs regardless of whether UPS goes on strike. Let p represent the probabilitythat UPS will go on strike and impact Sharp Outfits’s shipments.a. For which values of p, if any, does Sharp Outfits minimize its expected total cost by choosing to postpone shipping its customer orders via UPS? b. Suppose now that, at a cost of $1000, Sharp Outfits can purchase information regarding the likelihood of a UPS strike in the near future. Based on similar…1.Thereis an athletic organization named Jingle Jangle plans to invest P100,000 tohost soccer game. They expect to sell tickets worth P1,500,000 .However, if itrains on the day of game, they won't sell any tickets and the organization willlose all the money invested. Will youconsider this a good investment, if the weather forecast on the day of game is20 percent possibility of rain?Three businesswomen are trying to convene in Cincinnati for a business meeting. The first women (Woman 1) is arriving on a flight from Atlanta, the second (Woman 2) is arriving on a flight from Dallas, and the third (Woman 3) is arriving on a flight from Chicago. Historical data suggests that the Atlanta flight is “on time” 90% of the time, the Dallas flight is “on time” 95% of the time, and the Chicago flight is “on time” 80% of the time. Furthermore, historical data suggests that the three flights are independent with respect to on time behavior. Define the sample space for this random experiment. Compute the probability for each of the outcomes in the sample space. Let W denote the number of business women that arrive on time. Construct the probability mass function of W Construct the cumulative distribution function of W Find the expected value of W Compute the standard deviation of W
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- Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?Suppose 55 percent of the customers at Pizza Palooza order a square pizza, 72 percent order a soft drink, and 48 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Yes NoForty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6% of all Californians are Latino. In this problem, let: C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians Suppose that one Californian is randomly selected. a) Find P(L). b) Find P(C|L)