$Numerical$ $problem$ $on$ $consumer$ $surplus$: Assume that the demand for travel over a bridge takes the form $Y=1,000,000-50,000 P,$ where $Y$ is the number of trips over the bridge and $P$ is the bridge toll (in dollars).
a. Calculate the consumer surplus if the bridge toll is S0, $\$ 1,$ and $\$ 20$
b. Assume that the cost of the bridge is $\$ 1,800,000$ Calculate the toll at which the bridge owner breaks even. What is the consumer surplus at the breakeven toll?
c. Assume that the cost of the bridge is $\$ 8$ million. Explain why the bridge should be built even though there is no toll that will cover the cost.