How do the production function model and the supply and demand model differ? The production function shows market relationships over time; supply and demand illustrate the relationship between inputs and outputs. The production function shows the relationship between inputs and outputs; supply and demand illustrate market relationships over time. The production function shows the flow of outputs between economic actors; supply and demand illustrate the various efficiency points in both the short and long run. The production function shows the various efficiency points in both the short and long run; supply and demand illustrate the flow of outputs between economic actors. The production function shows a market in the short run; supply and demand illustrate a market in the long run. do the production function model and the supply and demand model differ