Charlotte (age 40) is a surviving spouse and provides all of the support of her four minor children, who live with her. Charlotte also maintains the household in which her parents live, and she furnished 60% of their support. Besides interest on City of Miami bonds in the amount of $5,500, Charlotte's father received $2,400 from a part-time job. Charlotte earns an $80,000 salary, a short-term capital loss of $2,000, and a cash prize of $4,000 at a church raffle. Charlotte reports itemized deductions of $10,500. Using the Tax Rate Schedules, compute the 2012 tax liability for Charlotte.

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?