I need help understanding and completing one of my economics public goods assignments for a college course. While I realize most people will likely not be able to help me with this assignment, if someone can help me understand the homework I will be willing to pay them 3K FG per problem they can help me with! I need this preferably done today, but at the latest in three days!

1) Assume that there are N individuals and all individuals have utility function of the form

u(x,yi) = ai*ln(x)+bi*yi

Derive the Samuelson Rule for the provision of public goods if the planner has the constraint:

p(summation from i=1 to N yi) + qx = K

2) There are two individuals that consume the public good x and private good yi. The individuals have an endowment of 20 and the prices of the public good and private good are both 1.
Individual 1 has a utility function u1(x,y1) = 2x + y1
Individual 2 has a utility function u2(x,y2) = 3x + y2
Individual 3 has a utility function u3(x,y3) = 4x + y3

a) What is the optimal level of public goods provided if you use the Samuelson Rule?
Will the competitive equilibrium provide the optimal level of public goods?
c) Find the Lindahl-Wicksell tax shares t1, t2, and t3.

3) There are two individuals that consume the public good x and private good yi. The individuals have an endowment of 20 and the prices of the public good and private good are both 1.
Individual 1 has a utility function u1(x,y1) = ln(x) + y1
Individual 2 has a utility function u2(x,y2) = 2*ln(x) + y2

Construct a tax scheme that will lead to truthful revelation of preferences so that the optimal level of publics goods will be provided and will not result in a budget deficit. Calculate the amount of taxes each individual will pay.