Discuss the profit maximizing output decision by perfectly competitive firms in the long run when all inputs and costs are variable.

In the long run, when all inputs and costs are variable, perfectly competitive firms aim to maximize their profits by adjusting their output levels based on market conditions and their cost structures. The profit-maximizing output decision in this scenario is determined by the intersection of the market price and the firm's long-run supply curve, which represents the minimum point of the firm's long-run average cost curve.

To understand the profit-maximizing output decision, let's consider the following key concepts:

1. Perfectly Competitive Market:
   In a perfectly competitive market, firms are price takers, meaning they cannot influence the market price. They must accept the prevailing market price, which is determined by the interaction of market demand and market supply.

2. Long-Run Average Cost Curve (LRAC):
   The long-run average cost curve represents the minimum cost per _______ ______ ____ __________ ____ _________ _______ _________ __________ _____ __________.
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