At the end of last year, Cynthia, a 20 percent partner in the five-person CYG partnership, has an outside basis of $25,000, including her $10,500 share of CYG debt. On January 1 of the current year, Cynthia sells her partnership interest to Roger for a cash payment of $18,000 and the assumption of her share of CYG's debt. CYG has no hot assets. What is the amount and character of Cynthia's recognized gain or loss on the sale

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?