This document discusses cost-output relationships in both the short run and long run. In the short run, costs are analyzed using average fixed cost, average variable cost, and average total cost. Average fixed cost decreases with more output while average variable cost first decreases and then increases. Average total cost initially decreases and then increases. In the long run, all factors of production can be varied. Total cost, average cost, and marginal cost are analyzed. The long run cost curve is derived by combining multiple short run cost curves and joining their tangency points. Long run costs are important for determining optimal scale and size through considering factors like demand forecasts and profits.