Answer all three essay questions $($question#$1[40$pts$.],$ questions#$2$ & #$3[30$ pts$.]$ each$).$ Full credit will only be given for effective analysis and discussion to each question. If a fact pattern is presented in the question, your answer$($s$)$ should apply the relevant area of law studied to all material facts provided. You have $60$ minutes to complete this exam. Use the "I RA C$"$ format to each question$($s$)$ presented.

Sally and Tom decide to go into business, selling discounted merchandise through their Web site $"$e$-$Buy." They sign a partnership agreement that requires Sally to contribute $$12,000$ and Tom to contribute $$8,000$ in capital to start the firm. The agreement aiso states that only Sally will have the authority to bind the partnership in deals with third parties, but the agreement says nothing about the management of the firm or a division of profits. Without Sally's knowledge, Tom tells United Computer Products, Inc., that he represents the firm and signs a contract with United to buy hard drives for resale on e$-$Buy. In the first year, $-$ Buy makes a profit of $$50,000.$

$(1)$ What are the partners' rights with respect to the management of the firm?

$(2)$ Is the partnership bound to the contract with United? Explain why or why not.

$(3)$ Do the partners split the first year's profits? If not, why? If so$,$ how much is each entitled to$?$