The 2022 Australia Federal election is just around the corner. The competition between the two candidates, Scoot Morris and Antone Alba, is fierce.

  

As a consumer (and Australian voter), you only care about public transportation and child care. Let public transportation be good X and child care be good Y. Each trip in the public transportation costs $10 and each day of child cars service costs $100. Your after-tax income is $500 per week. Assume that you always consume a positive amount of both X andY (also known as interior bundles). Your utility function is given by: U(x, y) = ax + 2y + 1,