Every week ChienHsun holds Econ100B office hours on Zoom. ChienHsun's utility function is , where is the number of office hours he holds per week. His housemate Alec loves writing research papers, but hates it when ChienHsun holds offices hours because it distracts him from his work. Alec's utility function is , where is the number of hours he spends writing research papers. In the private solution, how many more Zoom office hours per week does ChienHsun hold than what would be optimal for Alec?

Cash flows during the first year of operations for the harman-kardon consulting company were as follows: cash collected from customers, $385,000; cash paid for rent, $49,000; cash paid to employees for services rendered during the year, $129,000; cash paid for utilities, $59,000. in addition, you determine that customers owed the company $69,000 at the end of the year and no bad debts were anticipated. also, the company owed the gas and electric company $2,900 at year-end, and the rent payment was for a two-year period.

Your sister turned 35 today, and she is planning to save $60,000 per year for retirement, with the first deposit to be made one year from today. she will invest in a mutual fund that's expected to provide a return of 7.5% per year. she plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. under these assumptions, how much can she spend each year after she retires? her first withdrawal will be made at the end of her first retirement year.

Grant wants to transfer the ownership of his warehouse to holly by deed. to do so requires