## Numerical analysis homework help

Perform an analysis of the problem facing Allied Insurance and prepare a report that summarizes your findings and recommendations. Be sure to address the following issues:

The payoff table of Russo Manufacturing, ignoring all the probabilities.
(5 marks)
Recommendations regarding which decision the management should take if they ignore
the probabilities and decide to apply the following decision criteria:

Optimistic Approach
Conservative Approach
Minimax Regret Approach
(5 marks)

(5 marks)

(5 marks)

Computation of the posterior probabilities of weak demand, medium demand and strong demand given the market research is conducted. Briefly explain the meaning of
these probabilities.
(5 marks)
A decision tree illustrating the decisions and events that Russo is facing. All the payoffs,
probabilities and decision at each step need to be labelled carefully on the tree.
(25 marks)
A recommendation whether the market research should be undertaken. Explain clearly the reasons for your recommendation.
(10 marks)
A decision strategy that Russo should follow if they take the recommended action in 5. (10 marks)
A sensitivity analysis to illustrate how different decisions change if the prior probability
of [xiii.] change by 0.1 at a time.

(20 marks)

Presentation (10 marks)

The report must be written in a clear manner and including the required items. There is no need to restate the questions in your report. Your report must have the following structure:

Executive summary
Give an overview of the problem, the solutions and the recommendation
Introduction
Introduce the case study and the objectives of the report
Main body
This section addresses all the questions associated with the case study.
Conclusion
Conclude the case study and present your recommendations to the board of directors based on the analysis.

## Numerical analysis homework help

MATH 312 Final Exam Past Due Date Final Exam Will Not Be accepted
Due on Sunday, December 06, 2020 Print your name: _________________________________.
Page 1 of 3
(Show all work.)  Find the small positive integer solution of each problem: (38 pts)
(Hint: you may find any integer solution first, then add/subtract a multiple of n)
[1a] 7x ≡ 6 (mod 41), 0 ≤ 𝑥𝑥 ≤ 40

[1b] 35x ≡ 15 (mod 64), 0 ≤ 𝑥𝑥 ≤ 64
[1c] 0 ≤ 𝑥𝑥 ≤ 17 • 19 = 323
� x ≡ 5 (mod 17) x ≡ 11 (mod 19)

MATH 312 Final Exam Past Due Date Final Exam Will Not Be accepted
Due on Sunday, December 06, 2020 Print your name: _________________________________.
Page 2 of 3
 Given 𝑝𝑝 = 41 𝑎𝑎𝑎𝑎𝑎𝑎 𝑔𝑔 = 9. Solve each equation: (20 pts) [2a] Find 𝑎𝑎 satisfying 1 ≤ 𝑎𝑎 < 41 and 𝑎𝑎𝑔𝑔 ≡ 1 (𝑚𝑚𝑚𝑚𝑎𝑎 41)

[2b] Find 𝑚𝑚 satisfying 1 ≤ 𝑚𝑚 < 41 and 𝑚𝑚𝑔𝑔 ≡ 28 (𝑚𝑚𝑚𝑚𝑎𝑎 41) (Use [2a] is easier.)
 Find the set of quadratic residues and the set of nonresidues of p = 17. 12 pts

MATH 312 Final Exam Past Due Date Final Exam Will Not Be accepted
Due on Sunday, December 06, 2020 Print your name: _________________________________.
Page 3 of 3
 Use [4*] to find the smallest positive integer solutions (if any) of each quadratic congruence equation: (30 pts)
[4*] 12 ≡ 1 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 22 ≡ 4 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 32 ≡ 9 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 42 ≡ 5 (𝑚𝑚𝑚𝑚𝑎𝑎 11),
52 ≡ 3 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 62 ≡ 3 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 72 ≡ 5 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 82 ≡ 9 (𝑚𝑚𝑚𝑚𝑎𝑎 11),
92 ≡ 4 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 102 ≡ 1 (𝑚𝑚𝑚𝑚𝑎𝑎 11)
[4a] Solve the congruence equation: 9𝑥𝑥2 + 6𝑥𝑥 + 1 ≡ 0(𝑚𝑚𝑚𝑚𝑎𝑎 11), 0 ≤ 𝑥𝑥 ≤ 10

[4b] Solve the congruence equation: 5𝑥𝑥2 + 3𝑥𝑥 + 2 ≡ 0 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 0 ≤ 𝑥𝑥 ≤ 10

[4c] Solve the congruence equation: 3𝑥𝑥2 − 4𝑥𝑥 + 1 ≡ 0 (𝑚𝑚𝑚𝑚𝑎𝑎 11), 0 ≤ 𝑥𝑥 ≤ 10