Acell phone company offers two pay-as-you-go plans to its customers. plan a charges $30 for the first 200 minutes and thereafter, $0.25 for every minute. plan b charges $25 for the first 200 minutes and thereafter, $0.30 for every minute. for how many minutes after the initial 200 minutes will the costs of the two plans be equal?

Bonds often pay a coupon twice a year. for the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. using the values of cash flows and number of periods, the valuation model is adjusted accordingly. assume that a $1,000,000 par value, semiannual coupon us treasury note with three years to maturity has a coupon rate of 3%. the yield to maturity (ytm) of the bond is 7.70%. using this information and ignoring the other costs involved, calculate the value of the treasury note:

Spartan credit bank is offering 7.5 percent compounded daily on its savings accounts. you deposit $5,900 today. a. how much will you have in the account in 4 years? (use 365 days a year. do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. how much will you have in the account in 12 years? (use 365 days a year. do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. how much will you have in the account in 19 years?

Assume that (i) setups need to be completed first; (ii) a setup can only start once the batch has arrived at the resource, and (iii) all flow units of a batch need to be processed at a resource before any of the units of the batch can be moved to the next resource. process step 1 molding 2 painting 3 dressing setup time 15 min. 30 min. no setup processing time 0.25 min./unit 0.15 min./unit 0.30 min./unit which batch size would minimize inventory without decreasing the process capacity?