This is the initial tableau of a linear programming problem. Solve by the simplex method.
1 answer:
Answer:
Step-by-step explanation:
We start by selecting our pivot column as the most negative value on the bottom row.
This means our pivot column is . We now generate a new column by diving our pivot value by our value on the right-most column. This gives us (on a new row)
P/V
12/1 = 12
4/2 = 2
4/1 = 4
We pick our smallest positive value to be our pivot row.
This means our pivot row is our second row, and our pivot column is our first column. We now divide our entire row by our pivot point (our intersection of these two pivots)
This gives us our new second row as
1 3 0 1/2 0 0 2
now we need to eliminate our values from our other rows.
old row 1 - new row 2 gives us new row 1
row two stays the same
old row 3 - new row 2 gives us new now 3.
old row P + 2 new row 2 gives us new row P
After the first iteration of this algorithm this gives our tableau as: (see attached screenshot)
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Answer:
7,897.30 miles
Step-by-step explanation:
It is given that the North Pole is at a distance of 3,949 miles from the center of the earth.
We also know that the sea floor is below 2.4 miles from the sea level.
It is given that a submarine is located at the sea floor near North Pole. Hence, the distance of the submarine from the center of the earth would be
3949 - 2.4 = 3946.6 miles.
On the other hand, the South Pole is given to be at an elevation of 1.7 miles from the sea level.
Since we know that the sea level is at a distance of 3949 miles from the center of the earth, we can immediately calculate the distance of the South Pole from the center of the earth to be
3949 + 1.7 = 3950.7 miles.
Putting all of this together, we see that the center of the earth is at a distance of 3946.6 miles from the submarine near the North Pole, and the center of the earth in turn is 3950.7 miles from the South Pole.
Hence, the distance between the submarine and a person on the South Pole = 3946.6 + 3950.7 = 7897.3 miles.
Answer:
90 miles
Step-by-step explanation:
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Answer:
Option a) Type I error would occur if we reject null hypothesis and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.
Step-by-step explanation:
We are given the following information in the question:
where μ is the average amount of money in a savings account for a person aged 30 to 40.
Type I error:
- Type I error is also known as a “false positive” and is the error of rejecting a null hypothesis when it is actually true.
- In other words, this is the error of accepting an alternative hypothesis when the results can be attributed by null hypothesis.
- A type I error occurs during the hypothesis testing process when a null hypothesis is rejected, even though it is correct and should not be rejected.
Thus, in the above hypothesis type error will occur when we reject the null hypothesis even when it is true.
Option a) Type I error would occur if we reject null hypothesis and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.