Shelly’s preferences for consumption and leisure can be expressed as u(c, l) = (c – 100) * (l – 40). this utility function implies that shelly’s marginal utility of leisure is c – 100 and her marginal utility of consumption is l – 40. there are 110 (non-sleeping) hours in the week available to split between work and leisure. shelly earns $10 per hour after taxes. she also receives $320 worth of welfare benefits each week regardless of how much she works.

(a) graph shelly's budget line.
(b) what is shelly's marginal rate of substitution when l=100 and she is one her budget line?
(c) what is shelly's reservation wage?
(d) find shelly's optimal amount of consumption and leisure.

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