Understanding Inventory Management through Renee's Winter Coat Sale

How many winter coats were in stock before Renee sold 33 coats at 30% off?

• A. 110 coats
• B. 100 coats
• C. 90 coats
• D. 120 coats

Answer: (A)

To determine how many winter coats were in stock before Renee sold 33 coats at 30% off, we can approach the problem by first understanding what the sale means and how to manage the inventory accordingly. When Renee sells 33 coats at a discount, she is reducing her stock by that number. To find out the total number of coats she had prior to the sale, we need to add back the 33 coats she sold to the remaining inventory after the sale. If we consider 110 coats as the initial stock, selling 33 would leave 77 coats in stock after the sale. This aligns with the need for a larger starting quantity to ensure that the sales are meaningful, especially in a retail context where discounts are often used to move inventory. In contrast, if the initial stock were 100, 90, or 120 coats, one would expect different scenarios in terms of inventory management and sales strategies. For example, with 100 coats, selling 33 would leave only 67, which may not reflect the balance between demand and stock typically seen in successful retail sales. Thus, having 110 coats before the sale provides a reasonable quantity that allows for the sale of 33 coats while still maintaining a healthy inventory level. This supports

Have you ever wondered how businesses keep track of their inventory, especially during sales? Picture this: Renee has a rack full of cozy winter coats, and she decides to crank up the excitement by offering a 30% discount on a selection of them. Now, this might seem like a simple way to boost sales, right? But there’s a bit more to the story when it comes to managing inventory, and it’s a story worth telling.

First, let’s talk numbers. Amidst a flurry of shoppers hoping to snag a great deal, Renee sold 33 coats. But wait—what does this mean for her original stock? This is where our little puzzle starts to untangle. If we reckon that Renee had 110 coats before this sale, after selling those 33 coats, she would have 77 left. Why 110? Well, let’s break it down.

When you think about it, selling coats at a discount means you need a substantial inventory initially to keep your operations running smoothly. If she only had 100, selling 33 would reduce her stock to 67. And let’s be honest, who wants to run low on inventory during a sales frenzy? It’s like having a full plate at a feast; you want everyone to leave satisfied, not anxious about whether there’s enough to go around.

Now, let's imagine a different scenario. What if Renee had started with 120 coats? Sounds good, right? But realistically, if she sold 33 coats during the sale, that would still leave her with a hefty stock of 87 coats—quite a bit more than needed. In retail, it’s all about striking a balance. Too few coats, and customers might feel the inventory isn’t appealing; too many, and it looks like you’re overstocked and desperate for sales.

This simple scenario illustrates an everyday truth about retail: inventory management is a delicate dance. You want enough stock to meet high demand but not so much that you’re left with last season’s styles hanging around. Think about it: what if the racks were filled with styles that nobody wanted anymore? An unsightly sight indeed!

Keeping in mind the dynamics of what a sale means for stock, having 110 coats provides that sweet spot—a nice starting point for sales without straying too far into the danger zone of overstock. That’s how solid inventory management works.

So, next time you see a sign flashing “30% off,” remember the story behind it. Stores like Renee’s are not just slashing prices left and right—they’re carefully managing their stock to ensure everyone leaves happy and satisfied. It’s the fine line between strategy and survival in the retail world. Why leave anything up to chance when a well-planned inventory can lead to the success of your business? Isn't it fascinating how even a simple coat sale can serve as a rich lesson in inventory management?