Please please help me with this
1 answer:
Answer:
38
Step-by-step explanation:
The simplest (almost trivial) solution is to add the two inequalities:
(x +3y) +(3x +2y) ≤ (13) +(25)
4x +5y ≤ 38
The maximum value of P is 38.
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Perhaps more conventionally, you can graph the equations, or solve them to find the point of intersection of their boundary lines. That point is (x, y) = (7, 2), which is the point in the doubly-shaded solution space that gives the maximum value of P (puts the objective function line farthest from the origin).
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In the attached graph, we have been a little sloppy, not applying the constraints that x, y ≥ 0. For the purpose of finding the requested solution, that is of no consequence.
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Question is not complete. Complete question is;
Mount Belinda is the highest point in the South Sandwich Islands, with a peak at about 1,370 meters above sea level. The South Sandwich Trench, which lies about 100 kilometers (62 miles) to the east of the South Sandwich Islands, is about 8,428 meters below sea level (at its lowest point).
Part A: What is the difference in elevations between Mount Belinda and the South Sandwich Trench?
Part B: Is the elevation halfway between the peak of Mount Belinda and the South Sandwich Trench above sea level or below sea level? Give your explanation without calculating the exact value.
Part C: What elevation is halfway between the peak Mount Belinda and the South Sandwich Trench?
Answer:
A) 100478.86 metres
B) Explained below.
C) 50239.43 metres
Step-by-step explanation:
I have attached an image showing the elevations as depicted in the question.
MB represents peak of Mount Belinda while SS represents lowest point of South Sandwich Islands.
A) Now, total vertical distance from peak of MB to lowest point of SS is;
8428 + 1370 = 9798 metres
Since the horizontal distance between MB and SS is 100000 metres, then we can use pythagoras theorem to find the Elevation between MB and SS.
If the Elevation is x.
Thus;
x = √(9798² + 100000²)
x = 100478.86 metres
B) The Elevation between peak of MB and lowest point of SS will be halfway below the sea level because the distance from the lowest point of SS from the sea level is 5 times bigger than the distance from peak of MB to the sea level.
C) The halfway Elevation between peak MB and lowest SS will be;
100478.86/2 = 50239.43 metres
Answer:
No savings
Step-by-step explanation:
Let the interest rate be same for all the loans and consider it to be R.
<u>First case</u>
Principal 1 = 2000
Time = 12 moths = = 1 year
Rate = R %
So, interest 1 = Principal * Time * Rate
= 2000 * 1 * R
= 2000R
Now,
Principal 2 = 1000
Time = 12 moths = = 1 year
Rate = R %
So, interest 2 = Principal * Time * Rate
= 1000 * 1 * R
= 1000R
Total interest to be paid = 2000R + 1000R
= 3000R
<u>Second case</u>
Principal = 3000
Time = 12 moths = = 1 year
Rate = R %
Interest = Principal * Time * Rate
= 3000 * 1 * R
= 3000R
We conclude that there would be no savings because the interest to be paid in both the cases are same.