Find the number of units sold for May.
| | Beginning Inventory | Purchases | Units Sold |
| :---------- | :------------------ | :-------- | :--------- |
| April | 8,900 | 1,700 | 3,600 |
| May | 7,000 | 2,500 | {[?]} |
| June | 6,700 | 1,000 | 1,800 |
Ending Inventory = Beginning Inventory + Purchases - Units Sold.
Answer (2)
Define variables: Beginning Inventory ( B M ), Purchases ( P M ), Units Sold ( S M ), Ending Inventory ( E M ).
Write the equation: E M = B M + P M − S M .
Solve for S M : S M = B M + P M − E M .
Substitute values and calculate: S M = 7000 + 2500 − 6700 = 2800 .
Explanation
Problem Analysis Let's analyze the problem. We are given the beginning inventory, purchases, and ending inventory for May. We need to find the number of units sold for May. We know that Ending Inventory = Beginning Inventory + Purchases - Units Sold.
Define variables and write the equation Let B M be the beginning inventory for May, P M be the purchases for May, S M be the units sold for May, and E M be the ending inventory for May. We are given B M = 7000 , P M = 2500 , and E M = 6700 .
We know that E M = B M + P M − S M .
Solve for Units Sold We need to solve for S M :
S M = B M + P M − E M .
Substitute the values Substitute the given values: S M = 7000 + 2500 − 6700 .
Calculate Units Sold Calculate S M :
S M = 9500 − 6700 = 2800 .
Final Answer Therefore, the number of units sold for May is 2800.
Examples
Understanding inventory management is crucial in business. For example, a store owner can use this calculation to determine how many products were sold in a month, helping them make informed decisions about restocking and ordering. By tracking beginning inventory, purchases, and ending inventory, businesses can optimize their sales strategies and manage their resources effectively. This ensures they meet customer demand without overstocking, which can lead to losses.
The number of units sold for May is calculated to be 2800 by applying the inventory equation. We find this by using the beginning inventory, purchases, and ending inventory values provided. After substituting and solving the equation, we arrive at the final answer of 2800 units sold.
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