Hello the following 18 questions are just a quick practice assignment due in my class and could You answer the following questins correctly?

Thank you,

1. Consider the following set of constraints (Maximization problem): 10X+ 20Y>= 43, and 30X+ 10Y >= 21.5. The following is true for this problem:

a. Infeasible problem

b. Unbounded problem

c. X=0, Y=10 is the optimal solution

d. X=10, Y=16 is the optimal solution.

2. Consider the following LP problem: Min 12X+ 12Y; Subject to : 4 X + 4Y <= 31, and X + Y <= 93. Which one of the following is true:

a. Optimal objective function value is 0.

b. Optimal objective function value is 93.

c. Slack for each constraint is 0.

d. X=46.5, Y=46.5 is the optimal solution.

3. Consider the following set of constraints: 10Y >= 1040; 0.25 X + 5Y >= 520, and X + Y <= 104. Pick a suitable statement for this problem:

a. The feasible region is defined by a single point.

b. This problem has two feasible points. One is optimal for the minimization problem, the other is optimal for the maximization problem.

c. Feasible solution space is represented by a line, and multiple feasible solutions are available.

d. Solution to this problem cannot be found without the objective function.

e. It is a non-linear problem unsuitable for a graphical solution.

4. Consider the following set of constraints: -2X <= -176; -12Y <= -1056; 0.5 X + 12Y >= 1056, and 2X + 2Y <= 176. Pick a right statement for this problem:

a. Feasible region does not exist.

b. Feasible region is defined by a single point.

c. Feasible solution space is represented by a line, and multiple feasible solutions are available.

d. Solution to this problem cannot be found without the objective function.

e. All of the answers are incorrect.

5. Two delivery options are available for delivering 25 boxes. The annual holding cost is 30 % of the cost. Assume 365 days per year. 2-day delivery option costs $300 while 6-day delivery option costs $100. Determine a minimum unit cost for a box for which 2-day delivery alternative would be least costly?

a. 2433

b. 1622

c. 1217

d. 811.1

6. Customers arrive at a video rental desk at the rate of 10 per minute (Poisson).Each server can handle 6.5 customers per minute (Poisson). If there are 6 servers, determine the average time it takes to rent a video tape.

a. 0.154 minutes

b. 0 minutes.

c. 0.002 minutes.

d. 0.092 minutes

7. During the early morning hours, customers arrive at a branch post office at an average rate of 75 per hour (Poisson), while clerks can provide services at a rate of 25 per hour. If clerk cost is $38.54 per hour and customer waiting time represents a cost of $41 per hour, how many clerks can be justified on a cost basis?

a. 5

b. 4

c. 6

d.7

e.8

8. Auto parts arrive at the paint shop at the rate of 10 per minute(Poisson). Each server can paint 19.58 parts per hour(Poisson). Compute the minimum number of servers required in this system(steady state):

a. 31

b.30

c.2

d.1

e.3

9. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 9 customers per hour and an average service rate of 15 customers per hour. What is the probability that this system will contain 2 or more customers?

a. 0.36

b.0.64

c. 0.4

d. 0.784

10. A single server queuing system has an average service time of 10 minutes per customer, which is exponentially distributed. The manager is thinking of converting to a system with a constant service time of 10 minutes. The average arrival rate will remain the same. The effect will be to:

a. increase utilization

b. decrease utilization

c. increase average waiting time

d. decrease average waiting time

e. will not have any effect since the average service time is the same.

11. The fill rate is categorized as which type of supply chain performance metric?

a. quality

b. cost

c. variety

d. customer service

e. delivery

12. Which of the following is a challenge associated with delivering supplies for JIT systems? I. Increased traffic for inbound supplies II. Fixed costs of delivery increase per unit costs of supplies III. Increased uncertainty in forecasting requirements

a. I and II only

b. III only

c. I only

d. II only

e. I , II and III

13. A chart showing the number of occurrences by category would be used in:

a. cause-effect analysis

b. correlation analysis

c. monitoring processes

d. Pareto analysis

e. none of the above

14. A fishbone diagram would be used to:

a. list potential causes of a problem

b. diagram key steps or bones in a process

c. diagram skleton of a fish

d. plot effects of causes over time

e. plot key elements or bones of a problem

15. A shift in the process mean for a measured characteristic would most likely be detected by a:

a. R-chart

b. x-bar chart

c. c-chart

d. p-chart

e. none of the above

16. For which of the following would a p-chart be used?

a. monitor the fraction of defectives in a sample

b. monitor number of defects per unit

c. monitor dispersion in sample data

d. monitor average shrinkage

e. monitor range of values

17. The probability of concluding that an assignable variation exists when only random variation is present is: I. the probability of a Type I error II. known as the alpha risk III. highly unlikely IV. the sum of probabilities in the two tails of the distribution

a. I

b. I,II and IV

c. I and II

d. III

e. IV

18. The specification limits for a product are 10.16 cm and 12.34 cm. A process that produces the product has a mean of 11.18 cm and a standard deviation of 0.88 cm. What is the process capability, Cpk?

a. 0.39

b. 0.45

c. 0.54

d. 1.12

e. 1.34