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The Senate consists of 100 senators

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Problem 2.
The retread tire company recaps tires. The fixed annual cost of the recapping operation is $60,000. The variable cost of recapping a tire is $ 9.00 . The company charges $ 25 to recap a tire.

a. for an annual volume of 12,000 tire, determine the total cost , total revenue, and profit.

b. determine annual break-even volume for the retread tire company operation

Problem 4
The Evergreen Fertilizer Company produces fertilizer. The company's fixed monthly cost is $25,000, and its variable cost per pound of fertilizer is $0.15. Evergreen sells the fertilizer for $0.40 per pound.Determine the monthly break-even volume for the company. graphically illustrate the break-even volume for the evergreen fertilizer company.

Problem 10
A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determined that patients who are smokers have an 18% chance of contracting a serious illness such as heart disease, cancer, of emphysema, whereas there is only a .06 probability that a nonsmoker will contract a serious illness. From hospital records, the researchers know that 23% of all hospital patients are smokers, while 77% are nonsmokers. For planning purposes, the hospital physician staff would like to know the probability that a gives patient is a smoker if the patient has a serious illness.

Problem 12
The Senate consists of 100 senators, of whom 34 are Republicans and 66 are Democrats. A bill to increase defense appropriations is before the Senate. Thirty-five percent of the Democrats and 70% of the Republicans favor the bill. The bill needs a simple majority to pass. Using a probability tree, determine the probability that the bill will pass.

Problem 14
A metropolitan school system consists of three districts -north, south, and central. The north district contains 25% of all students, the south district contains 40%, and the central district contains 35%. A minimum-competency test was given to all students; 10% of the north district students failed, 15% of the south district students failed, and 5% of the central district students failed.

a. Develop a probability tree showing all marginal, conditional, and joint probabilities.
b. Develop a joint probability table.
c. What is the probability that a student selected at random failed the test?

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