Lets check 1. Which of the following ordered pairs satisfy the 7x+8y<3 and 6x-y>0? a. (1,-5) b. (5,-1) c. (0,0) d. (1,1)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Lets check
1. Which of the following ordered pairs satisfy the 7x+8y<3 and 6x-y>0?
a.
(1,-5)
b.
(5,-1)
c.
(0,0)
d.
(1,1)
 
2. Describe the graph of the following systems of linear equations:

9x + 2y = -1

9x + 2y = 1

a.
intersecting
b.
parallel
c.
coinciding
d.
dependent
 
3. Which of the following ordered pairs satisfy the inequality 3x+2y>5?
a.
(5,1)
b.
(0,2.5)
c.
(0,0)
d.
(-5,0)

4. The XYZ Company in one of its minor manufacturing plants produces speakers and headsets. The company earns P16,500 for each speaker produced and P1,800 per headset. Each of these products has to go through machines A and B. Each speaker requires 5 hours in Machine A and 2 hours in Machine B while each headset requires 1 hour in Machine A and 1 hour in Machine B. Per production cycle, Machine A can only operate for 20 hours nonstop while Machine B can operate nonstop for only 26 hours. How many speakers and headsets should be produced per production cycle to maximize the company’s profit? NOTE: Let x be number of speakers produced and y be the number of headset produced.

Which of the following serves as the structural constrains for Machine B?
a.
2x+y≥26
b.
2x+y≤26
c.
x+2y≥26
d.
x+2y≤26
 
5. Which of the following ordered pairs does NOT satisfy the graph of 5x-2y=10?
a.
(2,0)
b.
(1,1)
c.
(3,2.5)
d.
(0,-5)
 
6. The following are properties of the linear programming problem EXCEPT:
a.
All variables must be nonzero.
b.
The actions of the decision-maker must be constrained.
c.
The objective of the decision make is to either maximize or minimize.
d.
The relationship of variables could be expressed in terms of equations or inequalities.
 
7.  At what point does the graph of 3x+y=0 and x-y=4 intersect?
a.
(-1, 3)
b.
(1, -3)
c.
(0, 0)
d.
(4, 0)
 
8.  The graphical method of linear programming is restricted to problems having no less than three variables.
a.
maybe
b.
false
c.
true
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