A$.$ Paul tells Angela, his sales agent employee, that under no circumstances does she have the authority to make any warranties covering any of the laptops she sells for Paul. He got the laptops from a somewhat sketchy supplier and is less than confident about their durability. Angela successfully completes the sale of a laptop to Tom for $$250$ by including a $5-$year warranty with the sale. Tom knows nothing about the limitation on Angela$$s authorit

$1.$ Did Angela have implied authority to bind Paul? Explain in $1-2$ sentences.

$2.$ Did Angela have apparent authority to bind Paul? Explain in $1-2$ sentences.

B$.$ Customer Tom $($not paying attention$)$ hands Angela five $$100$ bills, which she accepts, instead of five $$50$ bills to pay for the laptop. She does not give Tom any change.

$1.$ Should Paul be liable for Angela$$s mistake if it was an accident? Explain in $2-3$ sentences.

$2.$ Should Paul be liable for Angela$$s mistake if it was intentional? Explain in $2-3$ sentences.

$3.$ Should Paul be liable for Angela$$s mistake if she pocketed the extra money instead of putting it in the drawer? Explain in $2-3$ sentences.

$4.$ Should Paul be liable for Angela$$s behavior if Angela hit Tom over the head for making rude comments about her appearance? Explain in $1-2$ sentences.