PLEASE SHOW CLEAR WORKING WITH FORMULAS FOR MY UNDERSTANDING.

Case Study 4: Productivity (I) AL.LSON Products produces glass bottles for use in a local beverage company. Currently, ALLSON Products produces 1600 cases of bottles per day. The 20 workers at ALLISON Products work from 7 a.m. until 4 p.m., with 30 minutes off for lunch and a 15-minute break during the morning work session and another at the afternoon work session. ALLISON Products is in the competitive packaging industry, and needs to increase productivity to stay competitive. They feel that a 20 percent increase is needed. ALLISON's management believes that the 20 percent increase will not be possible without a change in working conditions, so they change work hours. The new schedule calls on workers to work from 7:30 a.m. until 4:30 p.m., during which workers can take one hour off at any time of their choosing. Obviously, the number of paid hours is the same as before, but production increases, perhaps because workers are given a bit more control over their workday. After this change, bottle production increased to 1800 cases of bottles per day. Required: a) Calculate labor productivity for the initial situation [4marlcs] b) Calculate labor productivity for the hypothetical 20 percent increase [4 marlcs] c) What is the productivity after the change in work rules? [3 marks] d) Write a short paragraph analyzing these results. [ 4 marks] Case Study 5: Inventory Management. I) A Furniture manufacturing company uses 1200 units of an item annually and the cost price is $250 per unit. The ordering costs are $600 per order and holding costs are $4.00 per item per annum. Required: a) Calculate The economic order quantity. (3 marks) b) Determine the number of orders per annum (2 marks) c) Determine the annual stock holding cost (2 marks) d) Determine the annual ordering cost (3 marks) Case Study 3: Project Management-Critical Path Method The network below represents a project being analyzed by the critical path method. Activity durations in weeks, are given in the following table and required that a the network diagram be drawn: a Draw the network diagram. (10 marks) b Which activities form the critical path? (6 marks) c How much slack exists at activities A and F? (4 marks) d What is the duration of the critical path