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jarptica [38.1K]
3 years ago
8

By graphing the system of constraints, find the values of x and y that maximize the objective function.

Mathematics
1 answer:
Anastasy [175]3 years ago
6 0
The easiest method to solve problems like this is to graph the inequalities given and shade the regions that make them true. When you have properly shaded all of the regions, you will find that you have a region which is bounded on all four sides by one of the inequalities, and then you can find the x and y values which correspond to the vertices of the shaded region.

You didn't provide a function that you are trying to maximize in this example, but the idea is that you take all of the (x,y) points which correspond to the vertices and plug them into your objective function. The one which produces the largest value maximizes it (it is a similar process for minimizing it, but you'd be looking for the smallest value). Let me know if you need more help than that, or would like me to work out the example you have provided (I will need an objective function for it though).
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If 5 choc ices cost 330p how much do 9 cost?
borishaifa [10]


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8 0
3 years ago
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Use calculus to find the first order conditions. Use solver then to solve the first order conditions. Show your work for the fir
DaniilM [7]

The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.

<h3>What is the first-order condition in differential calculus?</h3>

A first-order differential equation is represented by the equation \mathbf{ \dfrac{dy}{dx} =f (x,y) }with 2 variables x & y, including its function f(x,y) specified on a xy-plane.

Given that:

\mathbf{f(x,y) =-22x^2+22xy-11y^2+110x-40y-23}

Let us first differentiate the above equation with respect to x, we have:

\mathbf{\dfrac{\partial f(x,y) }{\partial x}  = -44x +22y -0+110-0-0=0}

\mathbf{\implies  -44x +22y+110=0}        (multiply by -1)

44x - 22y = 110    ------ (equation 1)

Now, differentiating with respect to y, we have:

\mathbf{\dfrac{\partial f(x,y) }{\partial y}  =0 +22x-22y +0-40-0=0}

\mathbf{\implies 22x-22y -40=0}

22x - 22y = 40      ----- (equation 2)

Now, we have a system of equations:

44x - 22y = 110

-                      ---- ( subtracting equation 2 from 1; elimination method)

<u> 22x - 22y = 40  </u>

<u>22x    + 0  = 70    </u>

<u />

x = 70/22

Replacing the value of x into equation (1), we have:

44x - 22y = 110

44(70/22) - 22y = 110

140 - 22y = 110

140 - 110 = 22y

30 = 22y

y = 30/22

Learn more about the first-order conditions in differential calculus here;

brainly.com/question/14528981

#SPJ1

4 0
1 year ago
10+z=x what is the answer
Basile [38]

First you had subtract by ten from both sides of equation form.

10+z-10=x-10

Then simplify by equation.

z=x-10

Final answer: \boxed{z=x-10}

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

8 0
3 years ago
What are the three angle measures in the triangle shown below​
Zanzabum

Answer:

B. 31°, 106°, and 43°.

Step-by-step explanation:

the sum of the measures of the angles in a triangle add up to 180°, so:

3x+1+11x-4+5x-7=180

19x-10=180

19x=190

x=10

now that we know x is equal to 10, we can find the three angle measures:

3x+1 ->  3(10)+1 = 31°

11x-4 ->  11(10)-4 = 110-4 = 106°

5x-7 ->    5(10)-7 = 50-7 = 43°

so, the answer is B.

7 0
3 years ago
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