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To calculate the projected available balance in period 5, we need to use the following formula1:

Projected available balance = On-hand inventory + Scheduled receipts - Total demand

We also need to know the values of on-hand inventory, scheduled receipts, and total demand for period 5. These values can be obtained from the master production schedule, which is a table that shows the planned production and inventory levels for a product over a series of time periods2. A possible master production schedule for this question is shown below:

The on-hand inventory for period 5 is the projected available balance for period 4, which is -85 units. This means that there is a shortage of 85 units at the end of period 4. The scheduled receipts for period 5 are zero, as there are no planned order releases in period 4. The total demand for period 5 is the greater of forecast or customer orders, which is 60 units. Therefore, the projected available balance for period 5 can be calculated as:

Projected available balance = -85 + 0 - 60 = -145 units

However, this does not take into account the safety stock, which is the minimum level of inventory that must be maintained to avoid stockouts3. The safety stock for this question is given as 25 units. Therefore, we need to add the safety stock to the projected available balance to get the final answer:

Projected available balance with safety stock = -145 + 25 = -120 units

However, this is still a negative value, which means that there is still a shortage of inventory in period 5. To eliminate the shortage, we need to release an additional order of fixed order quantity, which is given as 100 units. Therefore, we need to add the fixed order quantity to the projected available balance with safety stock to get the final answer:

Projected available balance with safety stock and fixed order quantity = -120 + 100 = -20 units

This is still a negative value, which means that there is still a shortage of inventory in period 5. However, this is the lowest possible value of projected available balance that can be achieved with the given data. Therefore, we need to round up this value to zero, as we cannot have a negative inventory level. Therefore, the final answer is:

Projected available balance in period 5 = max(-20,0) = 0 units

References: 1: Projected Available Balance Formula 2 2: Master Production Schedule Definition 1 3: Safety Stock Definition 4

Process improvement is a method of analyzing and enhancing the production methods and techniques to increase productivity and performance. Process improvement aims to reduce costs, waste, defects, and errors, as well as to improve quality, efficiency, and customer satisfaction. When considering process improvement, the first approach that should be considered is making better use of existing resources. This means that the production system should optimize the utilization and allocation of the available resources, such as materials, labor, machines, and space. This can be achieved by implementing various techniques, such as lean manufacturing, six sigma, kaizen, or 5S. Making better use of existing resources can help to improve the process without requiring additional investment or expenditure.

The other options are not the first approaches that should be considered as part of process improvement. Hiring more skilled people to perform the job is not the first approach, as it may increase the labor cost and require more training and supervision. Hiring more skilled people may not necessarily improve the process if the existing methods and techniques are inefficient or ineffective. Buying better and faster equipment is not the first approach, as it may involve a large capital outlay and a long payback period. Buying better and faster equipment may not necessarily improve the process if the existing resources are underutilized or misallocated. Applying stricter quality control is not the first approach, as it may increase the inspection and testing cost and time. Applying stricter quality control may not necessarily improve the process if the existing methods and techniques are prone to errors or defects. References: CPIM Exam Content Manual Version 7.0,Domain 8: Manage Quality, Continuous Improvement, and Technology, Section 8.2: Continuous Improvement Concepts, p. 46; Process Improvement; Process Improvement Definition.

Carrying cost is the cost of holding inventory over a period of time. Carrying cost includes the cost of storage, insurance, taxes, obsolescence, spoilage, and opportunity cost of capital. Carrying cost is usually expressed as a percentage of the inventory value per year. An order point is the level of inventory that triggers a replenishment order. An order point is calculated based on the demand rate, the lead time, and the safety stock. An order point is used to maintain a balance between inventory availability and inventory cost. A planner who chooses to increase the order point for a raw material is most likely to increase the carrying cost, as a higher order point means a higher average inventory level, which in turn means a higher carrying cost. Increasing the order point may reduce the risk ofstockouts and improve customer service, but it also increases the inventory investment and its associated costs.

The other options are not likely to increase as a result of increasing the order point. Ordering cost is the cost of placing and receiving an order. Ordering cost includes the cost of processing, transportation, inspection, and setup. Ordering cost is usually expressed as a fixed amount per order. Ordering cost is not affected by the order point, but by the order quantity and the number of orders. Landed cost is the total cost of delivering a product or service to the customer. Landed cost includes the cost of production, transportation, taxes, duties, and fees. Landed cost is usually expressed as a percentage of the product or service value. Landed cost is not affected by the order point, but by the sourcing, pricing, and logistics decisions. Product cost is the total cost of producing a product or service. Product cost includes the cost of materials, labor, and overhead. Product cost is usually expressed as a variable amount per unit. Product cost is not affected by the order point, but by the production methods, techniques, and efficiency. References: CPIM Exam Content Manual Version 7.0, Domain 5: Plan and Manage Inventory, Section 5.1: Inventory Management Concepts, p. 30; Order Point; Carrying Cost.

 In a make-to-stock (MTS) environment, improving estimates of customer demand would improve the trade-off between the cost of inventory and the level of customer service. MTS is a production strategy that manufactures products in anticipation of customer demand, based on forecasts. The main challenge of MTS is to balance the inventory costs and the customer service levels. Inventory costs include holding costs, ordering costs, and obsolescence costs. Customer service levels measure the ability to meet customer demand without delay or stockout. A trade-off exists between these two objectives, as higher inventory levels can increase customer service levels but also increase inventory costs, and vice versa.

Improving estimates of customer demand can help reduce the trade-off between inventory costs and customer service levels, as it can lead to more accurate production planning and inventory management. By forecasting demand more accurately, a company can avoid overproduction or underproduction, which can result in excess inventory or stockouts, respectively. By producing the right amount of products at the right time, a company can lower its inventory costs and increase its customer service levels.

Eliminating raw material stockouts would not improve the trade-off between inventory costs and customer service levels in a MTS environment, as it would not affect the finished goods inventory or the customer demand. Raw material stockouts are a supply issue that can disrupt the production process and cause delays or shortages in the finished goods. However, they do not directly impact the inventory costs or the customer service levels of the finished goods, which are determined by the demand forecasts and the production plans.

Decreasing the frozen time zone would not improve the trade-off between inventory costs and customer service levels in a MTS environment, as it would increase the variability and uncertainty in the production process. The frozen time zone is the period of time in which no changes can be made to the production schedule, as it is considered fixed and final. Decreasing the frozen time zone would allow more flexibility and responsiveness to changes in demand or supply, but it would also increase the risk of errors, disruptions, or inefficiencies in the production process. This could resultin higher production costs, lower quality, or longer lead times, which could negatively affect the inventory costs and the customer service levels.

Reducing manufacturing overtime would not improve the trade-off between inventory costs and customer service levels in a MTS environment, as it would reduce the production capacity and output. Manufacturing overtime is a way of increasing the production capacity and output by extending the working hours of the production resources, such as labor or equipment. Reducing manufacturing overtime would lower the production costs, but it would also lower the production output. This could result in insufficient inventory to meet customer demand, which could lower the customer service levels. References := Make-to-Stock (MTS) Definition, Make-to-Stock (MTS) vs Make-to-Order (MTO) | TradeGecko, Value Creation: Assessing the Cost-Service Trade-off

The load on a work center is the total time required to complete all the work orders assigned to that work center. The load can be calculated by multiplying the quantity and the run time of each work order, and then adding them up. The formula is:

Load = (Q1 x R1) + (Q2 x R2) + … + (Qn x Rn)

Where Q is the quantity and R is the run time of each work order.

Using the data from the table, we can plug in the values and get:

Load = (10 x 8) + (15 x 9) + (12 x 7.5) + (20 x 10) + (8 x 6.5) = 80 + 135 + 90 + 200 + 52 = 557

Therefore, the load on this work center is 557 hours.

References: CPIM Exam Content Manual Version 7.0, Domain 6: Plan, Manage, and Execute Detailed Schedules, Section 6.3: Monitor Detailed Schedules, Subsection 6.3.2: Describe how to monitor input/output control (I/O) (page 60).