Please write the equation/ solving by hand not just answers to see how you got it, please

1) An operations manager is performing a factor-rating analysis to help her choose an outsourcing provider. She is focusing on three factors: A, B, and C, with weights of .30, .20, and .50, respectively. She has scored one potential outsourcer, Ling Services, on each of the factors using a scale of 10-50. Ling Services received a score of 30 for factor A, 46 for factor B, and 22 for factor C. What is the factor-rating score for Ling Services?

A) 98.0

B) 32.7

C) 21.8

D) 29.2

E) 30.8

CHAPTER 3

2) The critical path for the network activities shown below is ________ with duration ________.

Activity	Duration	Immediate Predecessors
A	10	--
B	8	--
C	4	A
D	2	A
E	6	B,C,D

A) A-C-E; 20

B) A-D-E; 18

C) B-E; 14

D) A-B-D-E; 26

E) none of the above

3) An activity on a PERT network has these time estimates: optimistic = 1, most likely = 2, and pessimistic = 5. What is its expected activity time?

A) 2.00

B) 2.33

C) 2.67

D) 4.67

E) 14.00

CHAPTER 4

4) Given an actual demand this period of 67, a forecast for this period of 58, and an alpha of 0.3, what would the forecast for the next period be using exponential smoothing?

A) 55.3

B) 57.1

C) 58.9

D) 61.0

E) 60.7

SUPPLEMENT 7

5) The Academic Computing Center has five trainers available in its computer labs to provide training sessions to students. Assume that the design capacity of the system is 1900 students per semester and that effective capacity equals 90% of design capacity. If the number of students who actually got their orientation session is 1500, what is the utilization of the system?

A) 1350 students

B) 1710 students

C) 78.9%

D) 87.7%

E) 90%

6) Christopher's Cranks uses a machine that can produce 100 cranks per hour. The firm operates 12 hours per day, five days per week. Due to regularly scheduled preventive maintenance, the firm expects the machine to be running during approximately 95% of the available time. Based on experience with other products, the firm expects to achieve an efficiency level for the cranks of 75%. What is the expected weekly output of cranks for this company?

A) 5100

B) 5700

C) 4845

D) 8421

E) 4275

7) Consider a production line with five stations. Station 1 can produce a unit in 9 minutes. Station 2 can produce a unit in 10 minutes. Station 3 has two identical machines, each of which can process a unit in 12 minutes (each unit only needs to be processed on one of the two machines). Station 4 can produce a unit in 11 minutes. Station 5 can produce a unit in 8 minutes. Which station is the bottleneck station?

A) Station 1

B) Station 2

C) Station 3

D) Station 4

E) Station 5

8) A tortilla chip workstation produces 1,000 chips in 60 seconds. What is its bottleneck time?

A) .02 seconds per chip

B) 50 chips per second

C) .06 seconds per chip

D) 16.7 chips per second

E) 60,000 seconds