Ashwin likes to spend her spare time in summer in one of two ways: (i) watching cricket (x) at Sydney Cricket Ground or (ii) watching movies (y) at Ritz cinema. In choosing how to entertain herself, she considers both constraints---money and time. Part I (3 marks) Ashwin has 48 hours of spare time in a month. A cricket game runs for 8 hours, while each visit to the movies takes up 4 hours. Each month, Ashwin also has $324 to spend on entertainment. A ticket for a cricket game costs $45. A visit to the movie costs $36.