What could cause both an increase in the price level and the increase in real output?

An increase in the price level alongside an increase in real output can occur due to demand-pull inflation, where aggregate demand rises significantly, driven by factors such as increased consumer spending, government expenditure, or investment. This heightened demand leads to both higher prices and greater production as businesses respond to the increased consumption. Additionally, supply-side improvements, like technological advancements, can enhance productivity, enabling firms to produce more goods at a lower cost, further contributing to output growth while also influencing price levels.