A company produces two types of products, A and B. If product A sells for $15 and product B sells for $25, and the company sold 100 products in total, earning $2,000, how many of each product were sold? - Treasure Valley Movers

Why Competitors Are Analyzing Product Mixes Like A and B—and You Should Too

In an era of heightened demand for personalized, cost-effective alternatives, curious consumers are increasingly drawn to product portfolios that combine affordability with quality. A common scenario driving this intrigue? A company balancing two distinct offerings—A at $15 and B at $25—selling exactly 100 units total while generating $2,000 in revenue. This seemingly simple setup reflects a strategic balancing act that speaks to shifting spending habits, income pressures, and evolving brand trust. As shoppers seek value without compromise, brands offering tiered pricing models are rising in relevance. Understanding how such distributions work is key to unlocking smarter purchasing decisions—and spotting growth opportunities in competitive markets.

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Why A Company Balances Products A and B: A Charting Trend in Modern Retail
In the current US marketplace, rising interest in flexible purchasing aligns with a growing segment of consumers who appraise value across price points. Product lines like A and B—modest yet distinct in price and positioning—mirror a deliberate market response to economic caution and demand for choice. While Product A starts at $15, appealing to budget-conscious buyers, Product B’s $25 tag caters to those prioritizing premium features. This dual-tier strategy enables brands to serve diverse needs within a single core audience, optimizing market reach. Observers note that such product ecosystems enhance customer retention, as users explore product lines without needing to switch brands entirely—offering seamless progression from basic to enhanced offerings.

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The Math Behind the Sale: How 100 Products Generated $2,000 Revenue
With 100 units sold and $2,000 in combined revenue, the breakdown of Product A and B reveals a precise allocation. Let A represent units of the $15 product—let that number be x—while B units, priced at $25, total 100 – x.

The total revenue equation is:
15x + 25(100 – x) = 2000

Simplifying:
15x + 2500 – 25x = 2000 → –10x + 2500 = 2000 → –10x = –500