Ben and Jerry's is a popular brand of ice cream based in South Burlington, VT. They are known for their delicous and cleverly named flavors and their committment to social responsibility. Suppose the marketing department for a firm like Ben and Jerry's estimates monthly demand for a pint of ice cream to be Q = 1000 - 150P.
a)Using the table provided and Excel functions, calculate quantity demanded for each of the prices given.
b) Using the prices provided and quantity demanded you calculated in part a, calculate elasticity (in absolute terms) for each point along the demand curve.
Q =1000 - 150 P
a) b)
Price, $ Quantity Elasticity
6.00
5.75
5.50
5.25
5.00
4.75
4.50
4.25
4.00
3.75
3.50
3.25
3.00
a)
|
Price |
Quantity |
|
6.0 |
100.0 |
|
5.8 |
137.5 |
|
5.5 |
175.0 |
|
5.3 |
212.5 |
|
5.0 |
250.0 |
|
4.8 |
287.5 |
|
4.5 |
325.0 |
|
4.3 |
362.5 |
|
4.0 |
400.0 |
|
3.8 |
437.5 |
|
3.5 |
475.0 |
|
3.3 |
512.5 |
|
3.0 |
550.0 |
b.
|
Price |
Quantity |
% Change in Price=(P2-P1)/P1 |
% Change in Quantity=(Q2-Q1)/Q1 |
Elasticity=% Change in Quantity/% Change in Price |
|
6.0 |
100.0 |
|||
|
5.8 |
137.5 |
4.17% |
37.50% |
9.00 |
|
5.5 |
175.0 |
4.35% |
27.27% |
6.27 |
|
5.3 |
212.5 |
4.55% |
21.43% |
4.71 |
|
5.0 |
250.0 |
4.76% |
17.65% |
3.71 |
|
4.8 |
287.5 |
5.00% |
15.00% |
3.00 |
|
4.5 |
325.0 |
5.26% |
13.04% |
2.48 |
|
4.3 |
362.5 |
5.56% |
11.54% |
2.08 |
|
4.0 |
400.0 |
5.88% |
10.34% |
1.76 |
|
3.8 |
437.5 |
6.25% |
9.38% |
1.50 |
|
3.5 |
475.0 |
6.67% |
8.57% |
1.29 |
|
3.3 |
512.5 |
7.14% |
7.89% |
1.11 |
|
3.0 |
550.0 |
7.69% |
7.32% |
0.95 |
Ben and Jerry's is a popular brand of ice cream based in South Burlington, VT. They...
a) Using the table provided and Excel functions, calculate quantity demanded for each of the prices given. b) Using the prices provided and quantity demanded you calculated in part a, calculate elasticity (in absolute terms) for each point along the demand curve. Q =1000 - 150 P Price Quantity Elasticity 6.00 5.75 5.50 5.25 5.00 4.75 4.50 4.00 3.75 3.50 3.20 3.00 c) At which prices is demand elastic, inelastic, and unit...
Q1000 150 IP Price, $ 6.00 5.75 5.50 5.25 5.00 4.75 4.50 4.25 4.00 3.75 3.50 3.25 3.00 uantityElasticitv 100.0 137.5 175.0 212.5 250.0 287.5 325.0 362.5 400.0 437.5 475.0 512.5 550.0 -9.00 -6.27 4.71 3.71 -3.00 -2.48 -2.08 1.76 1.29 -0.95 c) At which prices is demand elastic, inelastic, and unit elastic? Enter your answers using cell references to the table above. Price From Price To Elastic Inelastic The demand is unit elastic at some price between an d)...
Price Q Elasticity $ 5.00 100 $ 4.75 140 6.50 $ 4.50 180 4.63 $ 4.25 220 3.50 $ 4.00 260 2.75 $ 3.75 300 2.21 $ 3.50 340 1.81 $ 3.25 380 1.50 $ 3.00 420 1.25 $ 2.75 460 1.05 $ 2.50 500 0.88 $ 2.25 540 0.73 $ 2.00 580 0.61 Elastic from $5.00 to $2.75 Inelastic from $2.50 to $2.00 Question? c) The demand is unit elastic at some price between ____ and _____ d) are...