Jim, a quality control manager at an apparel manufacturing company, studies and monitors quality using r-charts. he discovers a quality problem with the construction of zippers. jim proposes that 25 samples of eight observations each be collected on a daily basis. he plans to prepare an r-chart to monitor the variation in the size of the zippers. the data collected shows that the mean length of the zippers is 15 inches and the average range is 0.5 inches. if d 3 for the r-chart is 0.136, the lower control limit (lcl r) for the r-chart will be:

R& m chatelaine is one of the largest tax-preparation firms in the united states. it wants to acquire the tax experts, a smaller rival. after the merger, chatelaine will be one of the two largest income-tax preparers in the u.s. market. what should chatelaine include in its acquisition plans? it should refocus its attention from the national to the international market. in addition to acquiring the tax experts, it should also determine the best way to drive independent "mom and pop" tax preparers out of business. chatelaine will need to explain to the federal trade commission how the acquisition will not result in an increase in prices for consumers. chatelaine should enter a price-based competition with its other major competitor to force it out of business and become a monopoly.