Mr. Pierpont has wealth of $200,000. He wants to keep at least $80,000 in bonds at all times, and will shift $10,000 into bonds from his checking account for each percentage point that the interest rate on bonds exceeds the interest rate on his checking account. If the interest rate on checking accounts is 4% and the interest rate on bonds is 9%, how much does Mr. Pierpont keep in his checking account?

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Compare the sources of consumer credit 1. consumers use a prearranged loan using special checks 2. consumers use cards with no interest and non -revolving balances 3. consumers pay off debt and credit is automatically renewed 4. consumers take out a loan with a repayment date and have a specific purpose a. travel and entertainment credit b. revolving check credit c. closed-end credit d. revolving credit

Sam and diane are completing their federal income taxes for the year and have identified the amounts listed here. how much can they rightfully deduct? • agi: $80,000 • medical and dental expenses: $9,000 • state income taxes: $3,500 • mortgage interest: $9,500 • charitable contributions: $1,000.