please help me to solve this 5 questions

Question 1 a) If the cost of direct material is 50%, direct labor is 10%, and overhead is 25% of sales, What will be the improvement in profit if cost of direct material is reduced to 55%? b) How much will sales have to increase to give the same increase in profit? (Hint: overhead cost is constant.) Question 2 On average, a company has a 10-week production lead time and an annual cost of Goods sold of $26 million. Assuming the company works 45 weeks per year: a. What is the dollar value of the WIP? b. If the lead time could be reduced to 5 weeks, and the annual cost of carrying inventory was 20% of the inventory value, what would be the annual savings? Question 3 Amalgamated Fish Sinkers makes a product group of fresh fish sinkers and wants to Develop a production plan for them. The expected opening inventory is 100 cases, and The company wants to reduce that to 80 cases by the end of the planning period. The Number of working days is the same for each period. There are no back orders. The Expected demand for the fish sinkers is as follows: Period 1 4 5 Total 130 130 130 600 Forecast (cases) a. How much should be produced each period? b. What is the ending inventory for each period? C. If the cost of carrying inventory is $5 per case per period based on ending inventory. What is the total cost of carrying inventory? d. What will be the total cost of the plan? Question 4 A company wants to develop a level production plan for a family of products. The Opening inventory is 100 units, and an increase to 130 units is expected by the end of The plan. The demand for each month is given in what follows. Calculate the total Production, daily production, and production and ending inventory for each Month Month May Jun Jul Aug Total Working days 21 19 2010 Forecast demand 115 125 140 150 Planned production Planned inventory 100 Question 5 The Amalgamated Mailbox Company manufactures a family of two mailboxes. The Production plan and the MPS are developed on a quarterly basis. The forecast for the Product group follows. The opening inventory is 270 units, and the company wants to Reduce this to 150 units at the end of the year. Develop a level production plan. Production Plan Quarter Total 1 220 2 300 3 200 4 200 Forecast sales 920 Projected available 270 Production plan Mailbox A. Lot size: 200 Quarter 3 4 Total Forecast sales 120 180 100 120 520 120 Projected available MPS scheduled Mailbox B. Lot size: 200 Quarter 2 4 1 100 2 120 3 100 4 80 Total 400 Forecast sales Projected available 150 MPS scheduled Question 1 a) If the cost of direct material is 50%, direct labor is 10%, and overhead is 25% of sales, What will be the improvement in profit if cost of direct material is reduced to 55%? b) How much will sales have to increase to give the same increase in profit? (Hint: overhead cost is constant.) Question 2 On average, a company has a 10-week production lead time and an annual cost of Goods sold of $26 million. Assuming the company works 45 weeks per year: a. What is the dollar value of the WIP? b. If the lead time could be reduced to 5 weeks, and the annual cost of carrying inventory was 20% of the inventory value, what would be the annual savings? Question 3 Amalgamated Fish Sinkers makes a product group of fresh fish sinkers and wants to Develop a production plan for them. The expected opening inventory is 100 cases, and The company wants to reduce that to 80 cases by the end of the planning period. The Number of working days is the same for each period. There are no back orders. The Expected demand for the fish sinkers is as follows: Period 1 4 5 Total 130 130 130 600 Forecast (cases) a. How much should be produced each period? b. What is the ending inventory for each period? C. If the cost of carrying inventory is $5 per case per period based on ending inventory. What is the total cost of carrying inventory? d. What will be the total cost of the plan? Question 4 A company wants to develop a level production plan for a family of products. The Opening inventory is 100 units, and an increase to 130 units is expected by the end of The plan. The demand for each month is given in what follows. Calculate the total Production, daily production, and production and ending inventory for each Month Month May Jun Jul Aug Total Working days 21 19 2010 Forecast demand 115 125 140 150 Planned production Planned inventory 100 Question 5 The Amalgamated Mailbox Company manufactures a family of two mailboxes. The Production plan and the MPS are developed on a quarterly basis. The forecast for the Product group follows. The opening inventory is 270 units, and the company wants to Reduce this to 150 units at the end of the year. Develop a level production plan. Production Plan Quarter Total 1 220 2 300 3 200 4 200 Forecast sales 920 Projected available 270 Production plan Mailbox A. Lot size: 200 Quarter 3 4 Total Forecast sales 120 180 100 120 520 120 Projected available MPS scheduled Mailbox B. Lot size: 200 Quarter 2 4 1 100 2 120 3 100 4 80 Total 400 Forecast sales Projected available 150 MPS scheduled