Consider a game in which two players, Fred and Barney, take turns removing matchsticks from a pile. They start with 21 matchsticks, and Fred goes first. On each turn, each player may remove either one, two, or three matchsticks. The player to remove the last matchstick wins the game.(a) Suppose there are only 5 matchsticks left, and it is Fred’s turn. What move should Fred make to guarantee himself victory? Explain your reasoning.(b) Suppose there are 10 matchsticks left, and it is Fred’s turn. What move should Fred make to guarantee himself victory? (Hint: Use your answer to part (a) and roll back.)(c) Now start from the beginning of the game. If both players play optimally, who will win?(d) What are the optimal strategies (complete plans of action) for each player?

On july 1, 2016, killearn company acquired 103,000 of the outstanding shares of shaun company for $21 per share. this acquisition gave killearn a 40 percent ownership of shaun and allowed killearn to significantly influence the investee's decisions. as of july 1, 2016, the investee had assets with a book value of $6 million and liabilities of $1,468,500. at the time, shaun held equipment appraised at $140,000 above book value; it was considered to have a seven-year remaining life with no salvage value. shaun also held a copyright with a five-year remaining life on its books that was undervalued by $562,500. any remaining excess cost was attributable to goodwill. depreciation and amortization are computed using the straight-line method. killearn applies the equity method for its investment in shaun. shaun's policy is to declare and pay a $1 per share cash dividend every april 1 and october 1. shaun's income, earned evenly throughout each year, was $580,000 in 2016, $606,600 in 2017, and $649,200 in 2018. in addition, killearn sold inventory costing $93,000 to shaun for $155,000 during 2017. shaun resold $97,500 of this inventory during 2017 and the remaining $57,500 during 2018.a. determine the equity income to be recognized by killearn during each of these years. 2016 2017 2018b. compute killearn’s investment in shaun company’s balance as of december 31, 2018.

For 2018, rahal's auto parts estimates bad debt expense at 1% of credit sales. the company reported accounts receivable and an allowance for uncollectible accounts of $86,500 and $2,100, respectively, at december 31, 2017. during 2018, rahal's credit sales and collections were $404,000 and $408,000, respectively, and $2,340 in accounts receivable were written off.rahal's accounts receivable at december 31, 2018, are:

Which of the following businesses is most likely to disrupt an existing industry? a. closer connex developed an earphone that receives emails and text messages and converts them to voice messages. the first models had poor reception, but they rapidly improved over time. b. mega technologies reconfigured the components used in its touchscreen tablets to create a new type of wearable device for use in restaurants and other service industries. c. particle inc. developed a teleportation technology that can transport physical materials instantaneously across great distances. d. altrea added advanced camera technology to its premium line of smartphones so that they would take the highest-quality photos of all phones on the market.