please solve all parts

A} Ana decides every day how many hours to work and how much beef to consume. She spends all income earned from work each day on consumption of beef. Her utility function for free time (t, 24 hours minus hours worked) and consumption (y) is: 1 Ult,y'l=2r3+y The price per unit of beef consumed is 4 and her hourly wage is l. ' Using a diagram and appropriate algebra, explain what Ana's optimal number of hours work and units of beef consumed are each day. Ana reads a book about the impact of beef consumption on climate mange and realises that there is a cost to society of her beef consumption. She takes account of this impact on society,r in her own decisions, incorporating a rlisutilitjyr of $.03}? per unit of beef consumed. She still only consumes beef and spends all income earned each day on this consumption. I Explain, using a diagram and appropriate algebra, how recognition of the impact of her consumption choice on climate change impacts on Ana's daily.F free time and beef consumption choice. Suppose that Ana knew about the impact of beef consumption on climate change but did not take it into account when making her private decision about how much free hours and beef to consume. What could a government do to get her to reduce the impact of her consumption on the environment