Manitoba is considering preserving a veryr scenic river. The communityr has T5 people each of whom has a demand given by q = ID {lip where q is the number of miles preserved and p is the price per mile shere is willing to pay for 1;: miles of preserved river. The marginal cost of preserving the river is $45 per mile. a. Draw a fulllabelled diagram to depict the problem described above [5 marks] b. How many miles 1would be preserved in an efcient allocation?I Explain your reasoning. [1|]I marks] c. Calculate the net benefit of this preservation project? Show this in you diagram. [4 marks] d. How would an increase in the number of people in the community affect the optimal number of miles of the river to be preserved and the net benets from the project illustrate this in the diagram in part a. [4 marks]