$1.)$ Answer both parts for full credit

$1$A$.)$ Jack has been Will's personal assistant for $10$ years. Jack's duties have always included arranging for one room in Will's house to be re$-$decorated every year while Will is on his annual vacation in Greece. For the last five years, Jack has hired Grace as the interior designer in charge of the re$-$decoration project. This year, two weeks before Will left for Greece, he and Jack had a major disagreement about how to decorate the spare bedroom. Will wanted to go with a French$-$toille inspired theme. Jack insisted on a Hello Kitty theme. The snit escalated into an all$-$out fight and Will abruptly fired Jack. Without Will's knowledge, Jack went ahead and hired Grace to decorate the spare bedroom in a Hello Kitty theme. He paid Grace's usual $50\%$ up$-$front fee with Will's credit card, which Will forgot to take away from Jack. When Will returns from Greece he is livid. He refuses to pay Grace for the balance of the bill, because he claims that Jack acted without authority. Is Will liable to Grace for the balance of the bill?

a$.$Yes, because Jack was impliedly authorized to enter the contract in Will's absence$.$

b$.$No$,$ because there was both actual and constructive notice of the termination.

c$.$Yes, because, even though the agency was terminated, Jack retained apparent authority to bind Will to contracts with Grace until Will actually notified Grace of the termination.

d$.$ No$,$ because Will revoked the agency, thereby terminating Jack's authority to make contracts on his behalf.

e$.$ No$,$ because Will was no longer a disclosed principal after the termination.

$1$b$.)$Jack has been Will's personal assistant for $10$ years. Jack's duties have always included arranging for one room in Will's house to be re$-$decorated every year while Will is on his annual vacation in Greece. For the last five years, Jack has hired Grace as the interior designer in charge of the re$-$decoration project. This year, two weeks before Will left for Greece, he and Jack had a major disagreement about how to decorate the spare bedroom. Will wanted to go with a French$-$toille inspired theme. Jack insisted on a Hello Kitty theme. The snit escalated into an all$-$out fight and Will abruptly fired Jack. Without Will's knowledge, Jack went ahead and hired Grace to decorate the spare bedroom in a Hello Kitty theme. He paid Grace's usual $50\%$ up$-$front fee with Will's credit card, which Will forgot to take away from Jack. When Will returns from Greece he is livid. He refuses to pay Grace for the balance of the bill, because he claims that Jack acted without authority. Is Will liable to Grace for the balance of the bill?

a$.$Yes, because Jack was impliedly authorized to enter the contract in Will's absence$.$

b$.$No$,$ because there was both actual and constructive notice of the termination.

c$.$Yes, because, even though the agency was terminated, Jack retained apparent authority to bind Will to contracts with Grace until Will actually notified Grace of the termination.

d$.$No$,$ because Will revoked the agency, thereby terminating Jack's authority to make contracts on his behalf.

e$.$ No$,$ because Will was no longer a disclosed principal after the termination.