11Which of the following is NOT a core function of operations management?

A. Product/service development B. Marketing and sales C. Production and supply chain management D. Quality control and assurance

12 Which of the following factors is NOT considered when selecting a production process?

A. Volume of output B. Variety of output C. Demand variability D. Product complexity

23 Which of the following is NOT a type of inventory control system?

A. Periodic review system B. Continuous review system C. Just-in-time (JIT) system D. Material requirements planning (MRP) system

33 Which of the following is NOT a tool used for quality control?

A. Statistical process control (SPC) B. Six Sigma C. Total quality management (TQM) D. Root cause analysis (RCA)

26 Which of the following is NOT a type of supply chain strategy?

A. Make-to-stock B. Make-to-order C. Configure-to-order D. Assemble-to-order

Sure, here are 20 advanced math questions:

Algebra

Prove that every quadratic equation with real coefficients has at least one real root.

Find the general solution to the following differential equation: dy/dx = x^2 + y^2

Factor the following polynomial: x^4 + 2x^3 + 5x^2 + 4x + 4

Find the determinant of the following matrix:

| 1 2 3 | | 4 5 6 | | 7 8 9 |

1. Find the eigenvalues of the following matrix:

| 1 2 | | 3 4 |

Calculus

Find the derivative of the following function: f(x) = sin(x)cos(x)

Find the integral of the following function: f(x) = e^x + x^2

Find the slope of the tangent line to the graph of the function f(x) = x^3 - 2x^2 + x at the point (1, 0).

Find the area of the region bounded by the curves y = x^2 and y = 2x.

Find the volume of the solid obtained by rotating the region bounded by the curves y = x^2 and y = 2x about the x-axis.

Linear Algebra

1. Find the null space of the following matrix:

| 1 2 3 | | 4 5 6 | | 7 8 9 |

1. Find the rank of the following matrix:

| 1 2 3 | | 4 5 6 | | 7 8 9 |

Determine whether the following vectors are linearly independent: (1, 2, 3), (2, 4, 6), and (3, 6, 9).

Find the orthogonal projection of the vector (1, 2, 3) onto the vector (2, 4, 6).

Find the eigenvalues and eigenvectors of the following matrix:

| 1 2 | | 3 4 |

Probability and Statistics

Calculate the probability of rolling two dice and getting a sum of 7.

Find the mean and standard deviation of the following sample: {2, 4, 6, 8, 10}

Construct a 95% confidence interval for the mean of the following population: {1, 2, 3, 4, 5}

Perform a hypothesis test to determine whether the following sample means are significantly different:

Sample 1: {2, 4, 6, 8} Sample 2: {3, 5, 7, 9}

Find the correlation coefficient between the following two variables: {2, 4, 6, 8} and {3, 5, 7, 9} SOLVE ALL QUESTIONS