1. in august of 2008, a mayor of a small town arrives home and finds a
package addressed to his wife on his front porch. he carries it into
the house, not knowing it contained drugs. certain traffickers had
been sending packages to random people to get the drugs into the
country. after the mayor carries the package into the house, swat and
narcotics officers stormed the house, cuffing the man and his
mother-in-law, and shooting the man’s two dogs to death—one in the
back as it fled the sound of loud noise. the officers claimed to feel
threatened by the dogs. when asked to see the warrant authorizing the
raid, the mayor was denied—finally viewing the warrant three days
after the incident. was the police action constitutional? use whatever
amendments you think are appropriate to say why or why not.

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?