Question

In: Economics

The table below shows three possible combinations of fixed cost and average variable cost. Choice Fixed...

The table below shows three possible combinations of fixed cost and average variable cost.

Choice Fixed Cost Average Variable Cost

1 $8,000 $1.00

2 12,000 0.75

3 24,000 0.25

a. For each of the three choices, calculate the average total cost of producing 12,000, 22,000 and 30,000 units. For each of these quantities, which choice results in the lowest average total cost?

Solutions

Expert Solution

1.

Q=12,000

Fixed cost=8000

Average variable cost=1

Total variable cost=AVC*Q

=12000*1

=12000

TC=TVC+TFC

=12000+8000

=20000

Average total cost=TC/Q

=20000/12000

=1.66

2.

Q=22000

TFC=12,000

AVC=0.75

TVC=0.75*22000

=16,500

TC=TFC+TVC

=12,000+16,500

=28,500

ATC=TC/Q

=28,500/22,000

=1.295

3.

Q=30,000

TFC=24,000

AVC=0.25

TVC=AVC*Q

=0.25*30000

=7500

TC=24000+7500

=31,500

ATC=31,500/30000

=1.05

Third choice leads to lowest average total cost.

It means quantity 30,000 leads to lowest average total cost.


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