The security & trust bank employs 1 teller to serve its customers. customers asking for a deposit arrive according to a poisson process at a mean rate of 10 per hour, whereas customers asking for a withdrawal request arrive according to a poisson process at a mean rate of 15 per hour. the customers are served in first-come first-served basis. the transaction time between the teller and customer has an exponential distribution with a mean of 1.5 minutes, regardless of the type of service requested. suppose that a customer with a deposit request has just arrived at 1: 00 pm. a. (1.5 points) what is the probability that the next customer will arrive between 1: 05 and 1: 10? b. (1.5 points) what is the probability that the next customer will request a deposit service?

Why entrepreneurs start businesses. a) monopolistic competition b) perfect competition c) sole proprietorship d) profit motive

Cadbury has a chocolate factory in dunedin, new zealand. for easter, it makes two kinds of “easter eggs”: milk chocolate and dark chocolate. it cycles between producing milk and dark chocolate eggs. the table below provides data on these two products. demand (lbs per hour) milk: 500 dark: 200 switchover time (minutes) milk: 60 dark: 30 production rate per hour milk: 800 dark: 800 for example, it takes 30 minutes to switch production from milk to dark chocolate. demand for milk chocolate is higher (500lbs per hour versus 200 lbs per hour), but the line produces them at the same rate (when operating): 800 lbs per hour. a : suppose cadbury produces 2,334lbs milk chocolate and 1,652 lbs of dark chocolate in each cycle. what would be the maximum inventory (lbs) of milk chocolate? b : how many lbs of milk and dark chocolate should be produced with each cycle so as to satisfy demand while minimizing inventory?

Roberto and reagan are both 25 percent owner/managers for bright light inc. roberto runs the retail store in sacramento, ca, and reagan runs the retail store in san francisco, ca. bright light inc. generated a $125,000 profit companywide made up of a $75,000 profit from the sacramento store, a ($25,000) loss from the san francisco store, and a combined $75,000 profit from the remaining stores. if bright light inc. is an s corporation, how much income will be allocated to roberto?