Q3. A consulting company buys special shirts with its logo to give to employees and clients....

Transcribed Image Text:

Q3. A consulting company buys special shirts with its logo to give to employees and clients. The company buys around 1200 shirts per year. The annual holding cost percentage for each shirt is 32%. The cost of placing an order is $35. Given the price schedule of the shirts listed below, what order quantity should the company use? (25 marks) Order quantity Less than 100 100-149 150-199 Unit price S 15 14.5 200 or more 14 13.75 Q4. Demand at Ramallah company for strawberries has been recorded as foloows: Demand (Kilo gram Kg) D 10000 14000 19000 pub Probability 0.15 0.45 0.3 0.1 21000 The company orders the strawberries on Saturday morning from a large supplier at $1. per Kg. Any Kg not sold at the retail price of $1.8 is sold for $0.7 to a local family that makes strawberry jam. How many Kg of strawberry should the company buy to maximize profits? (20 marks). Q5. Consider the following project's information: Activi ty Immediate Predecesso Optimist Most Pessimist ic Probab ic rs le A 119 12 12.5 B A 10 12.5 16 C 11 12.5 14 D C.A 11.5 12.5 12.5 E B.C.D 10.5 11.5 15 F E 11 12 15 G B.D 10 13.5 17 H G 13.5 14 15.5 I F.H 11.5 14 17.5 a- b- C- Show the PERT/CPM network for this project Calculate ES,LS,EF,LF, and Slack for each activity. What is the probability to complete the project in the expected completion time plus 6 days later. d- If you want a 0.96 probability of completing the project on time, how far ahead of the scheduled completion date should you begin working on the project (25 marks). D Q3. A consulting company buys special shirts with its logo to give to employees and clients. The company buys around 1200 shirts per year. The annual holding cost percentage for each shirt is 32%. The cost of placing an order is $35. Given the price schedule of the shirts listed below, what order quantity should the company use? (25 marks) Order quantity Less than 100 100-149 150-199 Unit price S 15 14.5 200 or more 14 13.75 Q4. Demand at Ramallah company for strawberries has been recorded as foloows: Demand (Kilo gram Kg) D 10000 14000 19000 pub Probability 0.15 0.45 0.3 0.1 21000 The company orders the strawberries on Saturday morning from a large supplier at $1. per Kg. Any Kg not sold at the retail price of $1.8 is sold for $0.7 to a local family that makes strawberry jam. How many Kg of strawberry should the company buy to maximize profits? (20 marks). Q5. Consider the following project's information: Activi ty Immediate Predecesso Optimist Most Pessimist ic Probab ic rs le A 119 12 12.5 B A 10 12.5 16 C 11 12.5 14 D C.A 11.5 12.5 12.5 E B.C.D 10.5 11.5 15 F E 11 12 15 G B.D 10 13.5 17 H G 13.5 14 15.5 I F.H 11.5 14 17.5 a- b- C- Show the PERT/CPM network for this project Calculate ES,LS,EF,LF, and Slack for each activity. What is the probability to complete the project in the expected completion time plus 6 days later. d- If you want a 0.96 probability of completing the project on time, how far ahead of the scheduled completion date should you begin working on the project (25 marks). D