# MATH 106 Finite Mathematics

MATH 106 Finite Mathematics

1.  Which of the corner points for the system of linear inequalities graphed below maximizes the objective function  P = 5x + 4y ?

2.  Find the equation of the line passing through (1, – 7) and (4, 1):   2.  _______
A.   8x + 3y  =  – 13            B.  2x + y  =  – 5            C.  2x – y  =  9           D.  8x – 3y  =  29

3.  A survey of 15 randomly selected students responded to the question “How many hours a day

do you work on MATH 106?” as follows:  3, 2, 2, 4, 6, 5, 2, 5, 1, 4, 2, 3, 2, 3, 4 .  Which histogram below accurately reflects the frequency distribution of the 15 students’ responses?

4.  Identify the single row operation that transforms the matrix as shown:

5.  The amount of money you should deposit in an account paying 8% compounded quarterly in order to receive quarterly payments of \$1000 for the next 4 years can be determined using formula for:
A. Single-payment, simple interest

B. Single-payment, compound interest

C. Sequence of payments:  present value of an ordinary annuity

D. Sequence of payments:  future value of an ordinary annuity

6. – 7.  The Black Entertainment Television Company (BET) employs copy coordinators and programming analysts.  According to company data, a copy coordinator reviews 5 scripts and 3 show schedules per day, whereas a programming analyst reviews 2 scripts and 7 show schedules per day.  The company needs enough staff on hand to review at least 12 scripts per day and at least 17 show schedules per day.  A copy coordinator makes \$230 per day and a programming analyst makes \$190 per day.  The company wants to minimize daily labor costs.  Let x represent number of copy coordinators and y represent number of programming analysts.
6.  Identify the daily production constraint for scripts:
A.  5