Name:    Applications of Linear Programming

Multiple Choice
Identify the choice that best completes the statement or answers the question.

As a receptionist for a hospital, one of Elizabeth’s tasks is to schedule appointments. She allots 60 minutes for the first visit and 30 minutes for a follow-up. The doctor cannot perform more than seven follow-ups per day. The hospital has eight hours available for appointments. The first visit costs \$120 and the follow-up costs \$70. Let x be the number of first visit and y be the number of follow-ups.

1.

Write a system of inequalities to represent the number of first visits and the number of follow-ups that can be performed.
 a. 60x + 30y 480 and y 7x 0 and y 0 c. 30x + 60y 420 and y 7x 0 and y 0 b. 60x – 30y 480 and y 7x 0 and y 0 d. 60x + 30y 420 and y 7x 0 and y 0

2.

Graph the system of inequalities showing the feasible region to represent the number of first visits and the number of follow-ups that can be performed.
 a. c. b. d.

3.

List the coordinates of the vertices of the feasible region to represent the number of first visits and the number of follow-ups that can be performed.
 a. (0, 0), (16, 0), (8, 8), (0, 8) c. (0, 0), (7, 0), (4.5, 8), (0, 8) b. (0, 0), (8, 0), (4.5, 7), (0, 7) d. (0, 0), (6, 0), (4, 7), (0, 8)

4.

Determine the number of first visits and follow-ups to be scheduled to make the maximum income.
 a. 16 first visits and 0 follow-ups c. 8 first visits and 0 follow-ups b. 4 first visits and 8 follow-ups d. 4 first visits and 7 follow-ups

5.

What is the maximum income that the doctor receives per day?
 a. 960 c. 1040 b. 970 d. 1920