A customer has a young disabled child with multiple sclerosis and wishes to invest enough money to provide $5,000 a month in perpetuity to pay for ongoing medical expenses. Upon the death of the disabled individual, the principal amount will be left to a charity searching for a cure for the disease. Assuming that the principal can be invested at a 6% annual rate of return, the required principal amount is:

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?

Abus pass costs $5 per week. which of the following equations shows the total cost in dollars, t, of the bus pass for a certain number of weeks, w? t = 5w w = 5t t = 5 + w w = 5 + t

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