Mat 540 week 11, final exam

ingredients are contained in the feed, shown in the table below. The table also shows the minimum daily requirements of each ingredient.

18). In a capital budgeting problem, if either project 1 or project 2 is selected, then project 5 cannot be selected. Which of the alternatives listed below correctly models this situation?

19). If we are solving a 0-1 integer programming problem, the constraint x1 = x2 is a __________ constraint.

20). The assignment problem constraint x31+x32+x33+x34 ≤ 2 means 21). Consider the following network representation of shipment routes between plants, a distribution center, and retail outlets. The numbers next to the arcs represent shipping costs. For example, the cost of shipping from plant 1 to distribution center 3 is equal to 2.

22). Assume that it takes a college student an average of 5 minutes to find a parking spot in the main parking lot. Assume also that this time is normally distributed with a standard deviation of 2 minutes. What percentage of the students will take between 2 and 6 minutes to find a parking spot in the main parking lot?

23). Professor Truman would like to assign grades such that 10% of students receive As. If the exam average is 62 with a standard deviation of 13, what grade should be the cutoff for an A? (Round your answer.)

24).For the following frequency distribution of demand, the random number 0.8177 would be interpreted as a demand of: 25). A bakery is considering hiring another clerk to better serve customers. To help with this decision, records were kept to determine how many customers arrived in 10-minute intervals.

Based on 100 ten-minute intervals, the following probability distribution and random number assignments developed. Suppose the next three random numbers were .18, .89 and .67. How many customers would have arrived during this 30-minute period?

Number of Arrivals Probability Random numbers 6 .1 .01 - .10 7 .3 .11 - .40 8 .3 .41 - .70 9 .2 .

71 - .90 10 .1 .91 - .00 26). Consider the following graph of sales. Which of the following characteristics is exhibited by the data?

27). In the Monte Carlo process, values for a random variable are generated by __________ a probability distribution.

28). Joseph is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 30% for University X and 60% for University Y. What is the probability that Jim will not be accepted at either university? (Note: write your answer as a probability, with two decimal places. If necessary, round to two decimal places. For instance, a probability of 0.252 should be written as 0.25).

28). Suppose that a production process requires a fixed cost of $50,000. The variable cost per unit is $10 and the revenue per unit is projected to be $50. Find the break-even point.

29). Students are organizing a "Battle of the Bands" contest. They know that at least 100 people will attend. The rental fee for the hall is $200 and the winning band will receive $500. In order to guarantee that they break even, how much should they charge for each ticket? (Note: Write your answer with two significant places after the decimal and do not include the dollar “$� sign. For instance, for five dollars, write your answer as 5.00).