Consider the following IP problem:

Maximum Z= 5x1+x2

subject to
-x1+2x2 <=4
x1-x2 <=4
4x1+ x2 <=12

and
x1 >=0, x2>=0
x1, x2 are integers

a. Solve this problem graphically.
b. Solve the LP relaxation graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding the solution for the LP relaxation in all possible ways (i.e., by rounding each noninteger value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate Z. Are any of these feasible rounded solutions optimal for the IP problem?

Answer:

2 1/4 cups of bleach

Step-by-step explanation:

4.5/10=0.45

0.45×5=2.25

9514 1404 393

Answer:

  0.180986, 2.96061, 6.46417, 9.24379

Step-by-step explanation:

The first solution to ...

  sin(x) = 0.18

is found by using the arcsine function:

  x = arcsin(0.18) ≈ 0.180986

Additional positive values can be found by subtracting this angle from π, and by adding multiples of 2π to either of the values obtained so far.

  π - 0.180986 ≈ 2.96061

Adding 2π to these gives two more values:

  0.180986 +2π ≈ 6.46417

  2.96061 +2π ≈ 9.24379

Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (3 x 3) + (1/2 x (3*4) x 5)

= 9 + 30

= 39 km²

Answer:

39Km²

Hope it's help you and Mark me as brainliest.

Answer:

the answer is 6y

Step-by-step explanation:

you just divide by 8 and get 6 and add the variable for 6y

The solution of the equation 8y = 48 by combining like terms with the use of operations addition, division, etc is y = 6.

Used the concept of an equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the expression is,

8y = 48

Now simplify the expression by combining like terms with the use of operations addition, division, etc.

The expression is,

8y = 48

Divide both sides by 8,

y = 48/8

y = 6

Therefore, the solution is y = 6.

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Answer:

Tell Sean i said thx

Step-by-step explanation:

but what's the question

Answer:

5

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

up 3 over 4

Answer:

x < 3

Step-by-step explanation:

5(3 - x) < -2x + 6

Distribute;

15 - 5x < -2x + 6

Add 2x to both sides;

15 - 3x < 6

Subtract 15 from both sides;

-3x < -9

Divide both sides by -3

x < 3

Answer:

13.75

Step-by-step explanation:

You would do 18.75 divided by 5 to get the cost of each pot.

18.75 / 5 = 13.75

Answer:

1.4/5+8/9

2.17/18-3/7

Step-by-step explanation:4/5+8/9 so you want the bottem two to be the same right so your ganna multapliy the 5 times 9 and 9 times 5 the 4 times 9 and 8 times 5 then you will have

36/45  and then40/45 then ad them and you will have about 2

2.is about 1 or about 0 i say about 1

Answer:

first one is right

Step-by-step explanation:

Answer: Hey, I can help. Which problem?

Step-by-step explanation:

Answer:

Rhombus

Step-by-step explanation:

Another quadrilateral that you might see is called a rhombus. All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. In summary, all squares are rectangles, but not all rectangles are squares.

Answer:

I hope this helps!

Answer:

the answer is D. y=2/3 x + 4

Answer:

(-11,-9)

Step-by-step explanation:

translate 10 units down: y value: 1-10=-9

reflect over y-axis: x-value becomes opposite: 11 becomes -11

Answer:

Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115

Step-by-step explanation:

Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115

Answer:

The slope is 6/5

Step-by-step explanation:

[tex]\frac{1-(-5)}{-1-(-6)} =\frac{6}{5}[/tex]

Answer:

38

Step-by-step explanation:

Answer:

83521x4 (y+1) (-2y+1) (-y+1) (2y+1)

Step-by-step explanation:

Answer:17x(1–2y)

Step-by-step explanation:

Answer:

51/3 miles in 1 hour

Step-by-step explanation:

Answer:

y=2x-6

Step-by-step explanation:

when u arrange it you get y=4x-12 which simplified is the answer above

The equation of a line is written as y = mx + b where m is the slope.

Replace M with the slope to get:

y = 1/2x + b

Now replace x and y with the given point to solve for b:

5 = 1/2(-2) + b

SImplify:

5 = -1 + b

Add 1 to both sides:

b = 6

The equation of the line is y = 1/2x + 6

Answer:its b

Step-by-step explanation:i took the test

Answer:

The cost of using 18 HCF = $40.39

Step-by-step explanation:

A linear function is one that has a constant rate of change for all the values within the distribution. For a linear function, there is a constant, and that constant is known as the slope or gradient of the linear function.

Let us first calculate this constant (slope).

Let:

X₁ = 14 HCF, Y₁ = $33.79, X₂ = 27 HCF, Y₂ = $55.24, m = slope

[tex]m = \frac{Y_2-Y_1}{X_2 - X_1} \\m = \frac{55.24 - 33.79}{27-14} \\m = \frac{21.45}{13} \\m = 1.65[/tex]

at any two points on the linear function, the rate of change of the cost to HCF = 1.65

Now, Let X₃ = 18 HCF, Y₃ = cost for using 18 HCF

[tex]m = \frac{Y_3 - Y_1}{X_3-X_1} \\where\ m= 1.65\\1.65 = \frac{Y_3-33.79}{18-14}\\1.65 = \frac{Y_3 - 33.79}{4} \\6.6 = Y_3 - 33.79\\Y_3 =6.6+33.79\\Y_3 = 40.39[/tex]

Therefore, the cost of using 18 HCF = $40.39

N:B X₂ and Y₂ can also be used with X₃ and Y₃ to find Y₃. You can try it out, you should get the same result