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musickatia [10]
3 years ago
11

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

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0
The answer is choice C
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Step-by-step explanation:

Its known that the sum of 2 sides should be greater than the third, therefore,

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18x+6y=144<br> 6x+10y=144
Sergeeva-Olga [200]

1. Copy Equations:

18x + 6y = 144

6x + 10y = 144

2. Multiply one of the equations in a way that gets either the x or the y to cancel each other out when added together:

18x + 6y= 144 --> 18x + 6y = 144

-3(6x + 10y= 144) --> -18x -30y = -432

3. Add equations together:

18x + 6y= 144

-18x -30y= -432 --> -24y = -288

4. Solve for y by dividing both sides of the equation by -24:

-24y÷-24 = -288÷-24 --> y= 12

5. Plug the y back into one of the original equations:

6x + 10(12)= 144

6. Solve for x:

6x + 10(12)= 144 --> 6x + 120= 144

6x + 120= 144

-120 -120 --> 6x = 24

6x÷6 = 24÷6 --> x= 4

7. Collect answers:

x= 4

y= 12

8. (Optional) plug answers back into one of the original equations the check answer.

7 0
3 years ago
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