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# Marginal Willingness and Demand Curve

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Let p denote price and q denote quantity demanded of wild salmon.

a) Using the data provided in Table 1, plot the relationship between the
quantity of wild salmon and the marginal willingness to pay for John.
Calculate the slope of this relationship.

Table 1: John's marginal willingness to pay for wild salmon
q p
0 32
1 24
2 16
3 8
4 0

b) Mary's demand for wild salmon can be represented by: p = 40 -­‐‑ 4q.
Plot the demand curve on the same graph as John's demand.

c) Suppose the market price of wild salmon is 16. Label and calculate the
quantity John will consume and his consumer surplus at this price. Do
the same for Mary.

d) On a new graph, plot the aggregate demand curve for wild salmon.

https://brainmass.com/economics/demand-supply/marginal-willingness-demand-curve-575655

#### Solution Preview

Economics
Very stuck on these practice questions for my exam...
Credit Value: 4 Deadline: March 12, 2014, 5:37 pm
Let p denote price and q denote quantity demanded of wild salmon.
a) Using the data provided in Table 1, plot the relationship between the
quantity of wild salmon and the marginal willingness to pay for John.
Calculate the slope of this relationship.
Table 1: John's marginal willingness to pay for wild salmon
q p
0 32
1 24
2 16
3 8
4 0

Please see the EXCEL for details.
The slope is the change in ...

#### Solution Summary

Derive demand curves using marginal willingness to pay and price.

\$2.19

## Economics of internet

Suppose that it is possible to provide internet backbone capacity at a constant marginal capital investment of \$5 per megabit per second (mb/s). There are no marginal costs. There are two time periods during the day (for simplicity each will be 12 hours): day and night. During the peak period (daytime) of 250 business days per year, the demand for capacity during daytime for one day is given by
Peak Demand: P = a- bQ
Where P is the price for capacity during the period. During the off-peak period of those 250 days, demand is one-half that of the peak period for each possible price,
Off peak Demand: P = a- 2bQ
On other days, demand is zero. Assume that the interest rate is 10 percent and the facilities do not depreciate.

a. If a = \$16, b = 0.08 and existing capacity is 120 mb/s, what would be the socially optimal prices during the two periods? (assume no capacity expansion)

b. What is the optimal amount of capacity and what are the corresponding prices? (assume can expand capacity)

c. The above is called a firm peak case with peak demanders paying all capital costs. Now suppose that the capital cost is \$10 and there is no pre-existing capacity. If peak demanders pay all capital costs, what quantity is demanded by peak demanders? If off-peak price is zero, what is off-peak quantity? (fractions are okay). This is the shifting peak case.

d. For the demand curves in c., find the optimal amount of capacity and corresponding prices.

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