In: Economics
Suppose the demand (in thousands) for a toaster is given by 100p−2, where p is the price in dollars charged for the toaster. a. If the variable cost of producing a toaster is $10, what price maximizes profit? Consider prices from $12 to $30, at $2 increments.
P |
Q |
VC |
TR=P*Q |
Profit = TR-VC |
12 |
1198 |
11980 |
14376 |
2396 |
14 |
1398 |
13980 |
19572 |
5592 |
16 |
1598 |
15980 |
25568 |
9588 |
18 |
1798 |
17980 |
32364 |
14384 |
20 |
1998 |
19980 |
39960 |
19980 |
22 |
2198 |
21980 |
48356 |
26376 |
24 |
2398 |
23980 |
57552 |
33572 |
26 |
2598 |
25980 |
67548 |
41568 |
28 |
2798 |
27980 |
78344 |
50364 |
30 |
2998 |
29980 |
89940 |
59960 |
From the above table we can observe that the profit is maximum at P = $ 30 , So, $30 maximises the profit