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Alexus [3.1K]
3 years ago
7

ABC company wishes to minimize its cost. Its cost is given by the equation C = 3x+4y. The business constraints are as follows:

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

Answer:

(2, 0)

Step-by-step explanation:

To solve this problem, we have to plot a graph. A graph was plotted using geogebra online graphing calculator. From the attached graph we can see the points that satisfy the constraints: (0,0), (2, 0), (2, 6), (6, 4). But since x,y > 0, this leaves us with B(2, 6), C(2, 0), D(6, 4)

The cost equation is C = 3x + 4y

At point B(2, 6): C  = 3(2) + 4(6) = 30

At point C(2, 0): C  = 3(2) + 4(0) = 6

At point D(6, 4): C  = 3(6) + 4(4) = 34

Therefore the minimum cost is at C(2, 0)

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If a graph is said to be EVEN, what can you say about its symmetry?
stealth61 [152]

Answer:

A function is said to be an even function if its graph is symmetric with respect to the y-axis. For example, the function f graphed below is an even function. Verify this for yourself by dragging the point on the x-axis from right to left. Notice that the graph remains unchanged after a reflection across the y-axis!

4 0
3 years ago
Determine the x and y intercepts<br>2x-3y=48​
qaws [65]

Answer:

x-intercept is 24 , y-intercept is -16

Step-by-step explanation:

* Lets explain how to solve the problem

- The x-intercept is the x-coordinate of the point of intersection

 between the graph of the equation and the x-axis ⇒ (x , 0)

- To find the x-intercept substitute the value of y in the equation by 0

- The y-intercept is the y-coordinate of the point of intersection

 between the graph of the equation and the y-axis ⇒ (0 , y)

- To find the y-intercept substitute the value of x in the equation by 0

* Lets solve the problem

∵ 2x - 3y = 48

- To find the x-intercept substitute y by 0

∴ 2x - 3(0) = 48

∴ 2x = 48

- Divide both sides by 2

∴ x = 24

∴ The graph intersects the x-axis at point (24 , 0)

* The x-intercept is 24

∵ 2x - 3y = 48

- To find the y-intercept substitute x by 0

∴ 2(0) - 3y = 48

∴ -3y = 48

- Divide both sides by -3

∴ y = -16

∴ The graph intersects the y-axis at point (0 , -16)

* The y-intercept is -16

4 0
4 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
almond37 [142]

Answer:

angels on a triangle = 180°

so you add 75 and 50 which gives you 125 then u take away that by 180 to find x (Just the process)

and that's your answer

4 0
3 years ago
Read 2 more answers
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Ivahew [28]

Answer:

x=27

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

90 + x+23 + x+13 = 180

Combine like terms

126 +2x = 180

Subtract 126 from each side

126-126 +2x=180-126

2x =54

Divide by 2

2x/2 = 54/2

x = 27

4 0
3 years ago
-7+21y+23=16 pls help rn
love history [14]

Answer:

y = 0

Step-by-step explanation:

- 7 + 21y + 23 = 16

- 7 + 23 =( 23 - 7) = 16

16 + 21y = 16

21y = 0

y = 0 \div 21

\boxed{\green{y = 0}}

4 0
2 years ago
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