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Question

In P - system of inventory control -

The correct answer is

Time between orders is constant

Understanding the P-System in Inventory Control

The question asks about a key characteristic of the P-system of inventory control. Inventory control systems are methods used by businesses to manage their stock levels efficiently. There are broadly two main types of systems: the Continuous Review System (often called the Q-system) and the Periodic Review System (often called the P-system).

What is the P-System of Inventory Control?

The P-system, or Periodic Review System, involves checking inventory levels at fixed, regular intervals. Based on the inventory level at the time of review, an order is placed to bring the stock up to a predetermined target level. The amount ordered varies depending on how much stock was used during the review period.

Analyzing the Options for the P-System

Let's look at the given options and see which one accurately describes a feature of the P-system:

  • Option 1: Reorder point is fixed

    In the P-system, orders are placed at fixed time intervals, not necessarily when a specific inventory level (reorder point) is reached. The order quantity is calculated based on the current inventory level and the target inventory level. A fixed reorder point is characteristic of the Q-system, where inventory is continuously monitored, and an order is triggered when stock drops to or below the reorder point.

  • Option 2: Time between orders is constant

    This is a defining feature of the P-system. Inventory is reviewed and orders are placed at predetermined, regular intervals (e.g., every week, every two weeks, every month). This time interval is fixed.

  • Option 3: Production rate remains constant

    Inventory control systems, like the P-system, primarily deal with managing the flow of goods (ordering and holding stock), not directly with the rate at which goods are produced. Production rate is a separate operational aspect and is not a defining characteristic of the P-system itself.

  • Option 4: Order quantity remains constant

    In the P-system, the time between orders is constant, but the quantity ordered typically varies. The order quantity is calculated as the difference between the target inventory level and the current inventory level at the time of review. Since usage between review periods can fluctuate, the amount needed to reach the target level will also fluctuate, meaning the order quantity is usually variable.

Based on this analysis, the characteristic that defines the P-system among the given options is that the time between orders is constant.

Comparison of Q-System and P-System
Feature Q-System (Continuous Review) P-System (Periodic Review)
When to Order When inventory reaches reorder point (constant quantity) At fixed time intervals (variable quantity)
Review Period Continuous Fixed intervals
Order Quantity Constant (often EOQ) Variable (depends on current stock and target level)
Safety Stock Covers lead time uncertainty Covers review period and lead time uncertainty
Monitoring Cost Higher (continuous) Lower (periodic)

Why Option 2 is Correct

The fundamental principle of the P-system is that inventory levels are checked and replenished at regular, predetermined points in time. This means the interval between placing orders is fixed and does not change. For example, a store might check its milk inventory and place an order every Monday morning, regardless of how much milk is left (as long as it's above zero). The quantity ordered will depend on how much milk was sold since the previous Monday and the target stock level.

Revision Table: Key Inventory Control Terms

Term Definition Relevance (P/Q System)
Inventory Control Managing the flow of goods into, through, and out of an organization. Core concept for both systems.
P-System (Periodic Review) System where inventory is reviewed at fixed time intervals. Time between orders is constant.
Q-System (Continuous Review) System where inventory is monitored constantly, and an order is placed when stock hits a reorder point. Order quantity is often constant (EOQ); reorder point is fixed.
Reorder Point (ROP) The inventory level at which a new order should be placed. Key in Q-system; less direct in P-system (ordering is time-based).
Economic Order Quantity (EOQ) The optimal order quantity that minimizes total inventory costs (holding and ordering). Typically used to determine order quantity in Q-system.
Lead Time The time between placing an order and receiving it. Important for determining safety stock in both systems and target level in P-system.
Safety Stock Extra inventory held to buffer against uncertainties in demand and lead time. Higher in P-system than Q-system because it covers the review period plus lead time.
Target Inventory Level The desired maximum inventory level aimed for when placing an order in the P-system. Used in P-system to calculate order quantity.

Additional Information on Inventory Systems

Choosing between a P-system and a Q-system depends on several factors:

  • Value of Items: High-value or critical items are often managed using a Q-system for tighter control. Lower-value items might be suitable for a P-system due to lower monitoring costs.
  • Accessibility: If inventory is difficult or costly to monitor continuously (like in a remote warehouse), a P-system might be more practical.
  • Multiple Items from Same Supplier: The P-system is useful when ordering multiple items from the same supplier, as orders for different items can be consolidated and placed at the same fixed review time.
  • Demand Variability: Items with high and unpredictable demand variability require more safety stock in a P-system compared to a Q-system.

Both systems aim to balance the costs of holding inventory with the costs of placing orders and the risk of stockouts. Understanding the core mechanism of each system, especially the constant time between orders in the P-system and the constant quantity/fixed reorder point in the Q-system, is crucial for inventory management decisions.

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Important Questions from Inventory Control

  1. If the cost of 157 litre of oil is Rs. 29763.65, then what is the cost per litre (rounded off to two decimal places)?
  2. In inventory control theory, the Economic Order Quantity is

  3. In ABC analysis, the C items are those which represents -

  4. Bin cards are used in keeping record of -

  5. The demand rate for a particular item is 12000 units/year. The ordering cost is Rs.100 per order and the holding cost is Rs.0.80 per item per month. If no shortages are allowed and the replacement is instantaneous, then the economic order quantity is

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