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4 years ago

A redundant constraint is one that: has a zero coefficient for at least one decision variable.

Mathematics

1 answer:

pishuonlain [190]4 years ago

3 0

Answer:

b. does not form a unique boundary of the feasible solution space.

Step-by-step explanation:

A constraint that does not form a unique boundary of the feasible solution space is called a redundant constraint.

A redundant constraint does not affect the feasible solution region and it commonly occurs in the real world.

By eliminating redundancy, we can simplify the given model.

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How I do this?<br> 3x+4y=11<br> X-2y=-3

Amanda [17]

Answer:

$\huge\boxed{x=1,\ y=2\to(1,\ 2)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}3x+4y=11\\x-2y=-3&\text{multiply both sides by (-3)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}3x+4y=11\\-3x+6y=9\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\ \ \ \ 10y=20\qquad\text{divide both sides by 10}\\.\qquad\qquad\boxed{y=2}\\\\\text{subtitute it to the second equation:}\\x-2(2)=-3\\x-4=-3\qquad\text{add 4 to both sides}\\\boxed{x=1}$

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3 years ago

A rectangular plot of land measures 120 feet by 96 feet. Which dimensions could not represent the plot on a scale drawing?

Tresset [83]

The answer is b. if you divide 120 and 96, you would get 20 inches.

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4 years ago

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When Malika buys a bicycle she must pay the bicycle's price plus tax.the city sales tax rate is 0.2 times the state sales tax ra

goldfiish [28.3K]

0.016 is the city tax I got this by multiplying 0.2 times 0.08
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3 years ago

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

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4 years ago

15 books each of dimension 2 cm x 4 cm x 5 cm are stacked on a she

Elena L [17]

Answer:

30cm

Step-by-step explanation:

Assuming that the thickness of the books is 2cm (This is a reasonable assumption, as books are almost always longer and wider than they are thick, and assuming that the books are stacked flat on top of one another, faces up or down, and not sideways, the question becomes 'What is the height of 15 books stacked on top of one another, if each book is 2cm thick?' The answer to this question is 15*2 or 30.

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3 years ago

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