1 what are the choice variables and what are the parameters in this pr

Question

[1] What are the "choice variables and what are the "parameters' in this problem?
What is the difference between them?
[2] How do we know this problem has a solution?
[3] Explain the relevant Lagrangian function.
[4] Explain the conditions that will characterize a KT-point.
[5] Use the conditions in part [4] to find the optimal consumption bundle (r*, y), and
the associated Lagrange multiplier X*.
[6] Explain why z* and y* can be interpreted as "functions".
[7] Find the partial derivative of z* with respect to each "parameter of the problem".
[8] Explain the interpretation of each partial derivate you find in part [7].
[9] Find the "indirect utility function' V = u(x, y), and explain its interpretation.
[10] Find the partial derivative of V with respect to M, and explain its interpretation.