Clara has a weekly budget of £18 £18\,£18 to allocate between takeaway gourmet coffees (Good CCC) and artisanal doughnuts (Good DDD). The price of a coffee is PC=£3P_C = £3PC=£3, and the price of a doughnut is PD=£2P_D = £2PD=£2. Clara aims to maximise her total utility.
Her marginal utilities (MUMUMU) from consuming successive units of each good are shown in the table below:
| Quantity | Marginal Utility of Coffee (MUCMU_CMUC) | Marginal Utility of Doughnut (MUDMU_DMUD) |
|---|---|---|
| 1 | 42 | 24 |
| 2 | 36 | 20 |
| 3 | 30 | 16 |
| 4 | 24 | 12 |
| 5 | 18 | 8 |
| 6 | 12 | 4 |
To maximise her total utility, which combination of coffees and doughnuts should Clara purchase?
222 coffees and 666 doughnuts
333 coffees and 222 doughnuts
444 coffees and 333 doughnuts
555 coffees and 444 doughnuts