For a company that manufactures tennis​ rackets, the average cost per racket is found to be C= 360 x+4+ 1 3x for x≥1​, where x is the number of rackets produced per hour. Use the differential to approximate the change in average cost per racket if production is​ (A) increased from 20 per hour to 27 per hour and​ (B) increased from 45 per hour to 52 per hour.

On december 31, 2016, the decarreau, andrew, and bui partnership had the following fiscal year-end balance sheet: cash $10,000accounts receivable $20,000inventory $25,000plant assets - net $30,000loan to decarreau $18,000total assets $103,000accounts payable $14,000loan from bui $15,000decarreaua, capital (20%) $32,000andrew, capital (10%) $23,000bui, capital (70%) $19,000total liab./equity $103,000the percentages shown are the residual profit and loss sharing ratios. the partners dissolved the partnership on january 1, 2017, and began the liquidation process. during july the following events occurred: * receivables of $18,000 were collected.* all inventory was sold for $15,000.*all available cash was distributed on january 31, except for$8,000 that was set aside for contingent expenses.the book value of the partnership equity (i.e., total equity of the partners) on december 31, 2016 isa. $58,000b. $71,000c. $66,000d. $81,000