Math Problem Statement

The following graph shows the short-run average total cost curves and the long-run average total cost curve for a publishing firm. The five marked quantities indicate points of tangency between each short-run average total cost curve (SRATC ) and the long-run average total cost curve (LRATC ); for example, Q1 marks the point of tangency between SRATC1 and LRATC . The orange point on SRATC2 indicates the firm's current output level in the short run (Q1 ). COST PER UNIT OUTPUT SRATC 1 Q 1 SRATC 2 Q 2 SRATC 3 Q 3 SRATC 4 Q 4 SRATC 5 Q 5 LRATC In the long run, if the firm decides to keep output at its initial level, what will it likely do?

Shut down Shift to operate on SRATC1 Stay on SRATC2 but increase to the point touching LRATC Shift to operate on SRATC4 Over which range of output levels do you find diseconomies of scale?

0 to Q1 0 to Q3 Greater than Q3 0 to Q5 Q2 to Q4

Solution

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Math Problem Analysis

Mathematical Concepts

Cost Curves
Economies of Scale
Diseconomies of Scale

Formulas

Average Total Cost (ATC) = Total Cost / Quantity
Long-Run Average Total Cost (LRATC)
Short-Run Average Total Cost (SRATC)

Theorems

Economies of Scale
Diseconomies of Scale
Tangency Condition between LRATC and SRATC

Suitable Grade Level

College-level Economics