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6) Monopoly (6 points) The following table shows output and pricing options for a monopoly. Price $10 $9 $8 $7 $6 $5 $4 $3 $2
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Answer #1

(a)

P Q TR=(P)(Q) MR= Change in TR
10 0 0 -
9 1 9 9
8 2 16 7
7 3 21 5
6 4 24 3
5 5 25 1
4 6 24 -1
3 7 21 -3
2 8 16 -5
1 9 9 -7
0 10 0 -9

(b) At 6 units of output , marginal revenue turns negative.

(c) When Q=3 units, then P=$7. Total revenue = $21

When Q=4 ,then P=$6 . Total revenue = $24

Price effect = $(7-6)(3)= $1  

Quantity effect = (4-3)($6)= $6

Because quantity effect is greater than price effect , this means total revenue would increase.

(d) MC =$2, Profit maximizing condition under monopoly is MR=MC.

We can see when ,Q=4 , MR>MC and when Q=5 ,MR<MC. So, the profit maximizing level of output = 4 units.

(e) At this output level , monopolist will charge $6 .

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