Jones and Ray formed a partnership on January $1,$ known as JR Construction Co$.,$ to engage in the

construction business, each partner owning a one$-$half interest. On February $10,$ while conducting partnership business, Jones negligently injured Ware, who brought an action against Jones, Ray, and JR Construction Co$.$ and obtained judgment for $$250,000$ against them on March $1.$ On April $15,$ Muir joined the partnership by contributing $$100,000$ cash, and by agreement, each partner was entitled to a one$-$third interest. In July, the partners agreed to purchase new construction equip$-$ ment for the partnership, and Muir was authorized to obtain a loan from XYZ Bank in the partnership name for $$200,000$ to finance the purchase. On July $10,$ Muir signed a $$200,000$ note on behalf of the partnership, and the equipment was purchased. In November, the part$-$ nership was in financial difficulty, its total assets amounting to $$50,000.$ The note was in default, with a balance of $$150,000$ owing to XYZ Bank. Muir has sub$-$ stantial resources, while Jones and Ray each individually have assets of $$20,000.$

What is the extent of Muir$$s personal liability and the personal liability of Jones and Ray as to $($a$)$ the judgment obtained by Ware and $($b$)$ the debt owing to XYZ Bank?