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45) Using a graphing calculator as needed, maximize P = 524x 1 + 479x 2 , subject to

265x 1 + 320x 2 ≤ 3,390

350x 1 + 345x 2 ≤ 3,795

400x 1 + 316x 2 ≤ 4,140

x 1 , x 2 ≥ 0

Give the answer to two decimal places.

46) A coin that can turn up either heads (H) or tails (T) is flipped. If a head turns up on the first toss, a spinner

that can land on any of the first 7 natural numbers is spun. If a tail turns up, the coin is flipped a second time.

What are the different possible outcomes?

47) A person purchasing a new car has several options: 6 interior color choices, 5 exterior color choices, 2 choices of

radios, and 5 choices of body styles. How many different cars are possible if one choice is made for each

option?

48) A test is composed of 4 multiple choice problems and 8 questions that can be answered true or false. Each

multiple choice problem has 4 choices. How many different response sheets are possible if only one choice is

marked for each question?

49) How many nine-digit ZIP code numbers are possible if the first digit cannot be a four and adjacent digits

cannot be the same?

50) A survey of residents in a certain town indicates 170 own a dehumidifier, 130 own a snow blower, and 80 own

a dehumidifier and a snow blower. How many own a dehumidifier or a snow blower?

51) In a group of 255 people, 165 invest in mutual funds, 135 invest in stocks, and 75 invest in mutual funds and

stocks. How many people in this group invest in neither mutual funds nor stocks?

52) From a group of 10 people, in how many ways can we choose a chairperson, vice-chairperson, treasurer, and

secretary, assuming one person cannot hold more than one position?

53) How many ways can a committee of 5 Democrats and 2 Republicans be selected from a state legislature that

contains 11 Democrats and 10 Republicans?

54) An urn contains 8 dimes and 6 quarters. Two coins are removed from the urn, one after the other without

replacement, and the total value of the two coins is recorded. Find an appropriate sample space for this

experiment and find the probability of each simple event in the sample space.

55) A committee of 6 people is to be chosen from a group of 6 men and 5 women. What is the probability that the

committee will consist of 4 men and 2 women?

56) A department store receives a shipment of 23 new portable radios. There are 5 defective radios in the

shipment. If 4 radios are selected for display, what is the probability that 2 of them are defective?

57) A box contains pieces of paper numbered 2 through 12. An appropriate sample space is S = 2, 3, 4,...12 .

A single piece of paper is to be drawn. Let event A = 2, 4, 6, 8 and let event B = 2, 3, 4, 5 .

What is the event A' Q B'?

Math Exam Final Review Worksheet With Answer Key - M118, Indiana University Southeast Page 5