Mathematics Quiz
1) The corner points of a feasible region based upon certain constraints are (0, 0), (25, 0), (16, 16), and (0, 24) for the objective fun
72
112
172
100
2) Find the center (h, k) and radius r of the circle with the given equation, x^2 + y^2 + 6x + 8y + 9 = 0
(h, k) = (3, 4); r = 4
(h, k) = (3,4); r = 4
(h, k) = (-3, -4); r = 4
(h, k) = (-3, 4); r = 4
1
2
3
0
4)Solve the System of linear equations x+2y-z=1 ; x+y+2z=9 ; 2x+y-z=2
2,2,3
2,1,3
-1,4,0
Infinite solution
5)The corner points of a feasible region based upon certain constraints are (0, 8), (1, 5), (2, 4), and (10, 0) for the objective fun
22
26
40
28
6)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 + 6x + 5 = 0
(h,k)=(0,3);r=4
(h,k)=(3,0); r=2
(h, k) = (-3, 0); r = 2
(h, k) = (-3, 0); r =4
1
2
3
0
8)Solve the System of linear equations 2x+y+z=4 ; x-y+3z=3 ; 4x-y-z=2
-1,1,1
)-1-,1,-1
1,1,1
Infinite solution
9)The corner points of a feasible region based upon certain constraints are (0, 0), (30, 0), (18, 12), and (0, 24) for the objective fun
144
150
162
168
10)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 + 8x + 10y - 8= 0
(h,k)=(4,-5); r=7
(h,k)=(4,5); r=7
(h, k) =(-4, -5); r = 7
(h, k) = (-4, 5); r = 7
1
2
3
0
12)Solve the System of linear equations x+y+z=3 ; x+2y+3z=4 ; x+4y+9z=6
1,2,0
2,1,0
1,0,2
Infinite solution
13)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 -2x -4y - 11 = 0
(h,k) = (-1, -2); r = 4
(h,k)=(1,2,); r = 4
(h,k) = (2, 1); r = 2
(h,k) = (-2, -1); r = 2
14)The corner points of a feasible region based upon certain constraints are (3, 2), (0,5), (3,5), and (0, 2) for the objective function Z = 11x + 7y. What is the maximum value of the objective function?
68
47
37
35
15)Solve the System of linear equations x+2y-z=1 ; x+y+2z=9 ; 2x+y-z=2
2,0,-1
1,1,1
2,1,3
Infinite solution
1
2
3
0
17)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 + 8x + 8 = 0
(h,k) = (0, 4); r=2√2
(h,k)=(4,0); r= 4√2
(h,k) = (-4,0);r=4√2
(h,k) =(-4,0); r=2√2
18)The corner points of a feasible region based upon certain constraints are (-2,4), (0,6), (7,9), and (6, 0) for the objective function Z = 12x - 5y. What is the maximum value of the objective function?
72
-44
-30
39
19)Solve the System of linear equations x+2y+3z=14 ; 3x+y+2z=11 ; 2x+3y+z=11
1,2,3
1,6,1
1,2,2
Infinite solution
1
2
3
0
21)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 -4x - 6y +13= 4
(h,k) = (2, 3); r = 2
(h,k) = (2, 3); r = 4
)(h,k) = (2, -3); r = 2
(h,k) = (-2, -3); r = 4
22)The corner points of a feasible region based upon certain constraints are (-3, 2), (0,-5), (3,5), and (2, 0) for the objective function Z = 5x + 13y. What is the maximum value of the objective function?
18
11
-55
80
23)Solve the System of linear equations x+y+z=3 ; x+2y+3z=4 ; x+4y+9z=6
1,2,0
2,1,0
1,0,2
Infinite solution
1
2
3
0
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