A factory produces 120 widgets per hour. If production increases by 15% every hour, how many widgets are produced in the third hour?

["How Many Widgets Are Produced in the Third Hour? Understanding Compounding Production Growth", "In a high-efficiency manufacturing environment, production rates rarely stay constant. Take, for example, a factory producing 120 widgets per hour, with output increasing by 15% each hour due to process optimizations and staff training. But how many widgets are generated specifically in the third hour of operation?", "This article explores exponential growth in manufacturing, calculates hourly production increments, and reveals exactly how many widgets the factory produces in its third hour.", "---", "### Starting Point: The Base Production Rate", "The factory begins strong, manufacturing:\n120 widgets per hour in the first hour.", "This baseline serves as the foundation for compound growth.", "---", "### Step 1: Calculate Production in the Second Hour\nWith a 15% increase, the second hour’s output is:\n[ 120 \ imes (1 + 0.15) = 120 \ imes 1.15 = 138 \ ext{ widgets} ]", "---", "### Step 2: Calculate Production in the Third Hour\nNow, apply the same 15% growth to the second-hour output:\n[ 138 \ imes 1.15 = 158.7 \ ext{ widgets} ]", "Since widgets are discrete units, this value is typically rounded to the nearest whole number. Therefore, the factory produces approximately 159 widgets in the third hour.", "---", "### Why This Growth Matters for Production Planning\nUnderstanding compound growth like this is crucial for:\n- Forecasting future output\n- Allocating labor and materials efficiently\n- Identifying capacity expansion opportunities\n- Setting realistic production targets", "A 15% hourly growth rate demonstrates strong momentum and reflects investments in automation, training, or process improvements.", "---", "### Summary: Widget Production Timeline\n- Hour 1: 120 widgets\n- Hour 2: 138 widgets (+15%)\n- Hour 3: 158.7 → ~159 widgets (+15% from hour 2)", "---", "In conclusion, the factory produces 158.7 widgets in the third hour, which rounds to 159 when counting individual units. This exponential growth shows rapid scalability in manufacturing operations when optimized.", "---", "Keywords: widget production, manufacturing growth, compound increase, hourly production, factory output, production calculation, 15% growth, scalable manufacturing, widget factory"]