Gordon is an employee of a company that allows him to choose the number of hours that he works in a day. his preference for consumption of goods and leisure can be represented as follows: u (c, f) = c * f
where c stands for expenditure on consumption goods and fstands for leisure. a unit of the consumption good costs £1. gordon always sleeps for 8 hours each night, and so the maximum value f can take is 16. the company pays gordon a wage of £10 per hour and gordon also has income from a trust fund that pays him £40 per day. gordon spends all of his income on consumption goods
how many hours a day does gordon work and how much does he spend on consumption goods?