A factory produces 500 units of a product on the first day and increases production by 10% each subsequent day. How many units are produced on the fifth day?

Thu, 16 Apr 2026 05:23:12 +0000

A factory produces 500 units of a product on the first day and increases production by 10% each subsequent day. This kind of steady growth pattern—applying a consistent percentage increase to a base number—is quietly shaping interest across industries, particularly in manufacturing, supply chain planning, and investment circles. The idea of starting with a modest output and growing it incrementally reflects real-world demand forecasting and scalable production strategies. Consumers and businesses alike are noticing how such growth curves translate into long-term performance and market responsiveness. Understanding how daily production compounds over time reveals fascinating insights. Starting at 500 units and growing by 10% daily means production gains momentum: each day’s output builds directly on the previous one. This dynamic—where small daily changes accumulate—mirrors broader economic principles of exponential growth. For readers curious about industrial scaling or forecasting, knowing the math behind such progression helps contextualize production planning and resource allocation. Though simple in concept, applying percentage increases consistently reveals measurable results that influence operational decisions. **How exactly does the math work?**
The formula uses compound growth: daily output = initial output × (1 + rate)^days. With a 10% increase per day, the growth factor is 1.10. After four increases over four days (to reach day five), the formula becomes:
500 × (1.10)⁴
Calculating step-by-step:
500 × 1.10 = 550 (day 2)
550 × 1.10 = 605 (day 3)
605 × 1.10 = 665.5 (day 4)
665.5 × 1.10 = 732.05 (day 5)
Rounded to the nearest whole unit, day five production is approximately **732 units**—a figure that reflects the quiet but powerful compounding effect. This exact growth pattern is gaining traction in digital manufacturing forums, smart growth analytics tools, and supply chain planning platforms. Users seeking data-driven insights into operational efficiency increasingly reference real-world examples of consistent daily output increases. Whether analyzing current factory performance or assessing future scalability, this model offers a clear, reliable benchmark.