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Rufina [12.5K]
2 years ago
5

I need help with math it’s urgent thanks

Mathematics
1 answer:
Artemon [7]2 years ago
8 0

Answer:

(1, 3)

Step-by-step explanation:

 2x + 3y =  11      ------------(i)

-4x + 2y = 2        ------------(ii)

Multiply equation (i) by 2.

(i)*2              4x + 6y = 22

(ii)               <u>-4x  + 2y = 2</u>                  {Now add and x will be eliminated}

                            8y = 24

y= 24/8

y = 3

Plugin the value of y in equation (i)

2x + 3*3 = 11

2x + 9 = 11

2x = 11-9

2x = 2

x = 2/2

x = 1

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What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2
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Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

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