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➷ The range is B. Greater for data set 2
The mean is B. Greater for data set 2
2) The range is C. Greater for the 14 to 19 year olds
The median is C. Greater for the 14 to 19 year olds
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↬ <u>ʜᴀɴɴᴀʜ</u> ♡
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10
So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)
Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z
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Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later.
So let's call it A. Let A = 25
Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later
Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later
Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727
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In summary, we found
A = 25
B = 21
C = 39
D = 22.2727
The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)
Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)
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Final Answer: 39
20,000,000+400,000+80,000+4000+100+60+3
Answer:
Step-by-step explanation:
If m = 4, z = 9 and r = 1/6
1. 3 + m = 3 + 4 = 7
2. z - m = 9 - 4 = 5
3. 12r = 12 × 1/6 = 2
4. 60r - 4 = 60(1/6) - 4 = 10-4 = 6
5. 4m - 2 = 4(4) - 2 = 16-2 = 14