The following processing times were obtained for an N-job, three-machine problem. Find the minimum makespan schedule.

Job Machine 1 Machine 2 Machine 3

1 10 1 7

2 12 3 10

3 8 5 9

4 9 2 11

5 7 4 12

6 11 6 8

Determine the optimal makespan schedule. What is the optimal makespan?

Complete the following: (With Details and example if needed)

Given set S = {-3, -2, 0, 1, 2, 4}

Relation R is a relation on S such that R = { (?, ?) | ? ∈ ?, ? ∈ ? ??? ?? ≥ 1}

1. Using roster method, what is R?

2. Show the digraph representation of R

3. Show the matrix representation of R

4. if the relation does not have the property, give an example of why:

- Is R reflexive?

- Is R symmetric?

-Is R antisymmetric?

- Is R transitive?

15. When we say that income is a flow variable, we mean that: 1. income is measured at a given point in time 2. income is very liquid 3. income is measured over a period of time 4. income is another word for money

25. Which of the following statements is true? 1. Wealth increases when C exceeds income 2. Wealth is a flow variable

3. Wealth increases when income exceeds C 4. A and B are both true

26. The initial seller of a bond is considered to be the: 1. lender 2. lender or the borrower, depending on how the funds are used 3. borrower 4. lender or the borrower, depending whether interest rates are rising or falling

29. When you borrow from a bank to buy a new car, you are participating in the process of: 1. Direct finance 2. Indirect finance 3. primary finance 4. principal finance

30. Which of the following statements is true? 1. inflation makes everyone worse off since they have to pay higher prices 2. deflation makes everyone worse off since incomes are falling 3. inflation redistributes income 4. deflation harms people who are on fixed income

A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. SUVs equipped with tires using compound 1 have a mean braking distance of 50 feet and a standard deviation of 12.1 feet. SUVs equipped with tires using compound 2 have a mean braking distance of 55 feet and a standard deviation of 9.3 feet. Suppose that a sample of 83 braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVs equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let μ1 be the true mean braking distance corresponding to compound 1 and μ2 be the true mean braking distance corresponding to compound 2. Use the 0.05 level of significance. Step 1 of 4: State the null and alternative hypotheses for the test. Step 2 of 4: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to two decimal places. Step 4 of 4: Fail or reject to fail.

C++ program please, can you show me where I did wrong. I'm trying to print the counter-clockwise spiral form using int *p, but my output turned out weird, thank you

void makeSpiral(int *p, int rows, int cols)
{
    int left = 0, value = 1, top = 0;
    while(left < cols && top < rows)
    {
         for(int i = top;i < rows;++i)
         {
             *(p+i*cols+left) = value++;
         }
         left++;
         for(int i = left;i < cols;++i)
         {
             *(p+(rows-1)*cols+i) = value++;
         }
         rows--;
         if (top < rows)
         {
             for(int i = rows-1; i >= top; --i)
             {
                 *(p + i * cols + (cols-1)) = value++;
             }
             cols--;
         }
         if (left < cols)
         {
             for(int i = cols - 1 ;i >= left; --i)
             {
                 *(p + top * cols + i) = value++;
             }
             top++;
         }
     }
}

My output:

---------------------------------------------
1
---------------------------------------------
1 4
2 3
---------------------------------------------
1 8 7
9 0 6
3 4 5
---------------------------------------------
1 12 11 10
13 16 0 14
15 0 0 8
4 5 6 7
---------------------------------------------
1 16 15 14 13
24 0 23 25 18
3 22 0 19 20
21 0 0 0 10
5 6 7 8 9
---------------------------------------------
1 18 17 16 15 14 13
28 27 26 0 25 0 20
21 22 23 24 0 0 11
4 5 6 7 8 9 10
---------------------------------------------
1 18 17 16
19 28 0 20
27 0 21 26
4 22 25 13
23 24 0 12
6 0 0 11
7 8 9 10

The output that I supposed to have:

---------------------------------
1
---------------------------------
1 3
---------------------------------
3
2
---------------------------------
1 4
2 3
---------------------------------
1 8 7
2 9 6
3 4 5
---------------------------------
1 12 11 10
2 13 16 9
3 14 15 8
4 5 6 7
---------------------------------
1 16 15 14 13
2 17 24 23 12
3 18 25 22 11
4 19 20 21 10
5 6 7 8 9

8.2 The Law of One Price implies that financial instruments with the same risk and the same cash flows at the same time should have the same price.

You are given the following table containing incomplete information on four different bonds. Assume that all these bonds have the same risk, and any coupon payments are paid annually.

e. How many units of Bond #1 and #2 would you need to replicate the future cash flows of 1000 units of Bond #4?

f. Using your answer to part e above, determine the following:

i. What’s the value of 1000 units of Bond #4?

ii. What’s the yield of Bond 4?

g. Fill in the missing information in the given table: (1 mark)

Question 1. Consider a queuing system with a single queue and two servers in series.

How many statements are true?     (A) 0   (B) 1   (C) 2   (D) 3   (E) 4

Statement 1. Johnson’s rule is a sequencing rule that generates a schedule to minimize the total processing time.

Statement 2. Johnson’s rule concept is to schedule jobs with smaller times on first server early in the schedule.

Statement 3. A Gantt chart is a time plot of a schedule.

Statement 4. Flow of the first job in a schedule is the time of completion of the project.

Part 2.  

Question 2. Consider a queuing system with a single queue and a single server.

How many statements are true?     (A) 0   (B) 1   (C) 2   (D) 3   (E) 4

Statement 1. The MPT rule minimizes the total flow of a schedule.

Statement 2. The flow time of a job in a schedule equals the queue time plus the processing time.

Statement 3. The flow time of a schedule will always be greater than the processing time of a schedule.

Statement 4. The queue time of a job in a schedule is the flow of the preceding job.

In parts a, b, and c, determine if the vectors form a basis for the given vector space. Show all algebraic steps to explain your answer.

a. < 1, 2, 3 > , < -2, 1, 4 > for R^3

b. < 1, 0, 1 > , < 0, 1, 1> , < 2, 0, 1 > for R^3

c. x + 1, x^2 + 1, x^2 + x + 1 for P2 (R).

Researchers were curious on how accurate people are at judging distances in different body orientations. Participants viewed a target shown in front of them while "standing" (upright), "supine" (lying down on their back), or "prone" (lying on their stomach). They had to judge how far away the target was from them (in centimetres), then the researchers recorded the errorsthey made.

Using the data below, conduct a repeated measure ANOVA to determine whether different body orientations make any difference in people's judgment of distance. Use α = .05. Report η², and if the ANOVA is significant conduct a post-hoc test using Tukey’s HSD. Finally, please state all the steps and the formulas you used and report your conclusion clearly in words.

When submitting, please put your answer in the field provided and upload images of your work. Up to 3 images may be uploaded. I strongly encourage you to do your work in tables to help structure your work and keep it easily visible in your images.

* unreadable or blurry images will not be graded

** If there are any discrepancies between the answer entered in the field and the answer on the images, only answer on the images will be graded

Subject          Standing          Supine          Prone

1                        -1                     -4                 -2

2                        -3                     -2                 -3

3                         2                       2                 -1

4                         0                     -2                 -3

5                         2                     -1                   0

6                        -3                     -5                 -4

7                         4                       1                  0

8                        -2                     -3                 -2

9                         0                     -1                 -3

10                      -1                     -4                 -3

∑X²                    48                     81                61

SS                     47.6                  44.9             16.9

Product A is the end item and is made from 3 units of component B and 4 units of component C.

Component B is made from 2 units of component D and 2 units of component E. Component C is made from 2 units of component F. Lead times are as follows: A = 1 weeks, B = 2 weeks, D = 1 week, and E = 1 week.

A) Draw the bill of materials for Product A. (2 points)

B) Develop the MRP schedule for Product A and components B, D, and E only, given the gross requirement of product A. Currently, there are 50 units of B and 70 units of D on hand. No safety stock requirement.