Many firms have site location models to predict future sales (Y) at locations yet to be developed. Some explanatory variables that could be used are: population density within a specific radius (X1), traffic flow (X2), the number of competitors (X3), and the ease of entry into and out of the proposed site (X4). An abbreviated computer printout of a linear analysis yields: DEPENDENT VARIABLE: Y
N: 12
R: .986
R SQUARED: .972
STANDARD ERROR: 3800
VARIABLE COEFFICIENT
CONSTANT 124,000
X1 5
X2 350
X3 -1,700
X4 4,000
According to the computer printout, if traffic flow increased by one more unit, sales would:.
A. Increase by 5.
B. Decrease by 1,700.
C. Increase by 4,000.
D. Increase by 350.

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

Amanda rice has just arranged to purchase a $640,000 vacation home in the bahamas with a 20 percent down payment. the mortgage has a 7 percent apr compounded monthly and calls for equal monthly payments over the next 30 years. her first payment will be due one month from now. however, the mortgage has an eight-year balloon payment, meaning that the balance of the loan must be paid off at the end of year 8. there were no other transaction costs or finance charges. how much will amanda’s balloon payment be in eight years

Conor is 21 years old and just started working after college. he has opened a retirement account that pays 2.5% interest compounded monthly. he plans on making monthly deposits of $200. how much will he have in the account when he reaches 591 years of age?