Consider an individual with utility of the form: U(x,y) = x^0.75+5y. The price of good x is p_x and the price of good y is p_y. The individual faces a budget constraint of M. The marginal utility associated with good x is MU_x=0.75x^-0.25. The marginal utility associated with good Y is MU_y=5.

A)Find the Marshallian demand functions for the individual.

B)Characterize the individual's consumption choice overall levels of M. Hint: There is more than one case to consider.

C)Suppose the individual's budget increases to M', (therefore M'>M). Determine how the individual's choice of consumption will change over the levels of M specified in part B).

Can this utility function give corner and interior solutions? What does this tell you about the non-linear good (x) and the linear good (y)?