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 SRATC3 indicates the firm's current output level in the short run (Q4 ). 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?

Shift to operate on SRATC2
Shut down
Shift to operate on SRATC4
Stay on SRATC3

but decrease to the point touching LRATC At which output level (or range of output levels) does the firm produce its current volume of output most efficiently?

Q2
0 to Q3
Q2

to Q4 Q3 Q4

Solution

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Math Problem Analysis

Mathematical Concepts

Cost Curves
Economics of Scale
Short-run and Long-run Cost Curves

Formulas

Average Total Cost (ATC) = Total Cost (TC) / Quantity (Q)
Short-run Average Total Cost (SRATC)
Long-run Average Total Cost (LRATC)

Theorems

Cost-Minimization
Tangency Points between SRATC and LRATC
Economies of Scale

Suitable Grade Level

Undergraduate Economics