A company faces the following demand during the next 3 weeks: week 1, 20 units; week 2, 10 units; week 3, 15 units. The unit production costs during each week are as follows: week 1, $13; week 2, $14; week 3, $15. A holding cost of $2 per unit is assessed for units in ending inventory each week. At the beginning of week 1, the company has 5 units on hand. Determine how to minimize the cost of meeting demand for the next 3 weeks. (The optimal cost should be $560.) After solving the problem, use the SolverTable to see what happens to the decision variables and the total cost when the initial inventory varies from 0 to 30 in increments of 5 units. How much lower would the total net cost be? and at what rate of decrease?

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