An elevator rail is assumed to meet specifications if its diameter is between 0.98 and 1.01 inches. Each year a company produces 100, 000 elevator rails. For a cost of $10/σ2 per year the company can rent a machine that produces elevator rails whose diameters have a standard deviation of σ. (The idea is that the company must pay more for a smaller variance.) Each such machine will produce rails having a mean diameter of one inch. Any rail that does not meet specifications must be reworked at a cost of $12. Assume that the diameter of an elevator rail follows a normal distribution. Round your answers to three decimal places, if necessary.

a. What standard deviation (within 0.001 inch) minimizes the annual cost of producing elevator rails? You do not need to try standard deviations in excess of 0.02 inch.

b. For your answer in part a, one elevator rail in 1000 will be at least how many inches in diameter?

1. the political environment in india has proven to be critical to company performance for both pepsico and coca-cola india. what specific aspects of the political environment have played key roles? could these effects have been anticipated prior to market entry? if not, could developments in the political arena have been handled better by each company? 2. timing of entry into the indian market brought different results for pepsico and coca-cola india. what benefits or disadvantages accrued as a result of earlier or later market entry? 3. the indian market is enormous in terms of population and geography. how have the two companies responded to the sheer scale of operations in india in terms of product policies, promotional activities, pricing policies, and distribution arrangements? 4. “global localization” (glocalization) is a policy that both companies have implemented successfully. give examples for each company from the case.

Mai and chuck have been divorced since 2012. they have three boys, ages 6, 8, and 10. all of the boys live with mai and she receives child support from chuck. mai and chuck both work and the boys need child care before and after school. te boys attend the fun house day care center and mai paid them $2,000 and chuck paid them $3,000. mai's agi is $18,000 and chuck's is $29,000. mai will claim two of the boys as dependents. she signed form 8332 which allows chuck to claim one of the boys. who can take the child and dependent care credit?

Carey company is borrowing $225,000 for one year at 9.5 percent from second intrastate bank. the bank requires a 15 percent compensating balance. the principal refers to funds the firm can effectively utilize (amount borrowed − compensating balance). a. what is the effective rate of interest? (use a 360-day year. input your answer as a percent rounded to 2 decimal places.) b. what would the effective rate be if carey were required to make 12 equal monthly payments to retire the loan?