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BlackZzzverrR [31]
3 years ago
10

Given constraints: x is greater than or equal to 0, y greater than or equal to 0, 2x + 2y is greater than or equal to 4, x + y i

s less than or equal to 8 Explain the steps for maximizing the objective function P = 3x + 4y.

Mathematics
2 answers:
Alik [6]3 years ago
6 0

Graph the inequalities given by the set of constraints. Find points where the boundary lines intersect to form a polygon. Substitute the coordinates of each point into the objective function and find the one that results in the largest value.




seropon [69]3 years ago
4 0
Hello,

We can use a graph and find the vertex of the domain (ABCD).
The maximum is a vertex that maximize the variable y (greater coefficient (4)).

C (0,8) maximize P=3x+4y=3*0+4*8=32

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Paul [167]

Answer:

x=7.5

Step-by-step explanation:

To show that the triangles are similar, we simply need to show that all sides are proportionate.

So,  we create a proportion

\frac{FE}{ZY} =\frac{ED}{XY} = \frac{FD}{XZ}

Then we plug in the values

\frac{6}{12} = \frac{7}{14}  = \frac{2x-5}{22}

\frac{6}{12} and \frac{7}{14} can be simplified to \frac{1}{2}, so that is our ratio of similarity

then we know

\frac{1}{2} = \frac{2x-5}{22}

Now solve

1. Cross multiply

2×(2x-5) = 22

2. Distribute

4x-8 = 22

4x=30

x=7.5

There is your answer, x=7.5

Hope this helped.

8 0
3 years ago
jacobs puzzle has 84 pieces. Jacobs puts together 27 pieces in the morning. he puts together 38 more pieces in the afternoon. ho
elixir [45]
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7 0
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Start with the standard formula for the area of a triangle, and rewrite it to solve for the base, b.
solong [7]

Answer:

2A/h = b

Step-by-step explanation:

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Divide each side by h

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4 0
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Aliun [14]
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7 0
3 years ago
Which binomial is a factor of 49x2 + 84 xy + 36y2?
bezimeni [28]

Answer:

(7x+6y) is a binomial factor of the given expression  49x^2+84xy+36y^2

Therefore  49x^2+84xy+36y^2=(7x+6y)(7x+6y)

Step-by-step explanation:

Given expression is 49x^2+84xy+36y^2

To find the binomial factor :

49x^2+84xy+36y^2

Rewritting the above expression as

=7^2x^2+2(7)(6)xy+6^2y^2

=(7x)^2+2(7x)(6y)+(6y)^2

=(7x+6y)^2 ( using the formula =(a+b)^2=a^2+2ab+b^2 here a=7x and y=6y )

=(7x+6y)(7x+6y) ( using the formula =(a+b)^2=(a+b)(a+b) )

Therefore  49x^2+84xy+36y^2=(7x+6y)(7x+6y)

(7x+6y) is a binomial factor of the given expression  49x^2+84xy+36y^2

7 0
3 years ago
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