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A cupcake store is located in a mall and is the only cupcake store in that mall.

ID: 1098422 • Letter: A

Question

A cupcake store is located in a mall and is the only cupcake store in that mall. The demand schedule for cupcakes (per dozen) is given in the table below. If the marginal cost to produce a dozen cupcakes is $4 per unit, how many units should the firm produce?

Price

Quantity Purchased

   (Dozen per day)

$12

     3

$11

     7

$10

    12

$9

    20

$8

    35

$7

    60

$6

   100

$5

   160

$4

   250

Price

Quantity Purchased

   (Dozen per day)

$12

     3

$11

     7

$10

    12

$9

    20

$8

    35

$7

    60

$6

   100

$5

   160

$4

   250

Explanation / Answer

Price

Quantity Purchased

Revenue

Variable Cost

Contribution Margin

12

3

36

12

24

11

7

77

28

49

10

12

120

48

72

9

20

180

80

100

8

35

280

140

140

7

60

420

240

180

6

100

600

400

200

5

160

800

640

160

4

250

1000

1000

0


Contribution margin is maximized at price point P=$6 per dozen

P=$6


2) Fixed Cost=$100

Total Profit=Contribution margin-Fixed Cost=200-100=$100


3) Price elasticity=(dQ/Q)*(P/dP)=(60/100)*6/1=3.6


4)

Price

Quantity Purchased

Revenue

Variable Cost

Contribution Margin

12

3

36

12

24

11

7

77

28

49

10

12

120

48

72

9

20

180

80

100

8

35

280

140

140

7

60

420

240

180

6

100

600

400

200

5

160

800

640

160

4

250

1000

1000

0