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

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