Maria manages a bakery, that specializes in ciabatta bread, and has the following information on demand and costs:
Ciabatta Bread Sold Per Hour (Q) |
Price (P) |
Total Cost (TC) |
0 |
$6.00 |
$2.502.50 |
1 |
5.50 |
6.006.00 |
2 |
5.00 |
8.508.50 |
3 |
4.50 |
10.5010.50 |
4 |
4.00 |
12.0012.00 |
5 |
3.50 |
13.0013.00 |
6 |
3.00 |
13.5013.50 |
7 |
2.50 |
14.5014.50 |
8 |
2.00 |
16.5016.50 |
a. To maximize profits, Maria should sell
loaves of ciabatta bread per hour. (Enter your response as an integer.)
Solution: 6 loaves of ciabatta bread per hour
Working:
Bread Sold |
Price |
TR (P *Q) |
MR |
TC |
MC |
0 |
6.0 |
0.0 |
2.5 |
||
1 |
5.5 |
5.5 |
5.5 |
6.0 |
3.5 |
2 |
5.0 |
10.0 |
4.5 |
8.5 |
2.5 |
3 |
4.5 |
13.5 |
3.5 |
10.5 |
2.0 |
4 |
4.0 |
16.0 |
2.5 |
12.0 |
1.5 |
5 |
3.5 |
17.5 |
1.5 |
13.0 |
1.0 |
6 |
3.0 |
18.0 |
0.5 |
13.5 |
0.5 |
7 |
2.5 |
17.5 |
-0.5 |
14.5 |
1.0 |
8 |
2.0 |
16.0 |
-1.5 |
16.5 |
2.0 |
The condition for the profit-maximization is where MR = MC. Thus Maria will sell 6 loaves of ciabatta bread
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