The employee credit union at state university is planning the allocation of funds for the coming year. the credit union makes four types of loans to its members. in addition, the credit union invests in risk-free securities to stabilize income. the various revenue-producing investments together with annual rates of return are as follows: type of loan/investment annual rate of return (%)automobile loans 8furniture loans 10other secured loans 11signature loans 12risk-free securities 9the credit union will have $2 million available for investment during the coming year. state laws and credit union policies impose the following restrictions on the composition of the loans and investments.

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?