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So let's compare the profit or loss of the firm at two points:  when Q=0 (and thus AVC=0), and when Q>0 (and, as stated in the question, P<AVC, and thus MR<AVC).  The firm is losing money for every Q>0, because it is spending more on AVC than it is bringing in as price or marginal revenue.  The firm can reduce its loss by making Q=0.  In other words, the firm is better off by completely shutting down.
 
So let's compare the profit or loss of the firm at two points:  when Q=0 (and thus AVC=0), and when Q>0 (and, as stated in the question, P<AVC, and thus MR<AVC).  The firm is losing money for every Q>0, because it is spending more on AVC than it is bringing in as price or marginal revenue.  The firm can reduce its loss by making Q=0.  In other words, the firm is better off by completely shutting down.
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''Question'': What is the firm's profit or loss when Q=0 in this problem?  This is an honors homework problem.
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''Easy Question'': What is the firm's profit or loss when Q=0 in this problem?  This is an honors homework problem.
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''Hard Question'': Prove mathematically that MC>MR for all Q>0 in this problem.  This is the most challenging honors homework problem this week.
    
== Obstacles to Reducing Costs ==
 
== Obstacles to Reducing Costs ==
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