(a) Based on the RSA algorithm, answer the following questions:

i. Assume Alice has chosen 13 and 17 as two prime numbers (p and q), thus N=p.q=221. Define a value for e as her public key. Show your work step-by-step.

ii. For the question in part a i), using the selected value for e, define a private key d. Show your work step-by-step.

iii. Briefly explain do you recommend a small or a large value among all possible values for e and d while using RSA algorithm? Why? Explain your reasons.

iv. Assume Bob has chosen the pair (N=143, e=5) as his public key. He is trying to find a private key, but with no success. Why is he unable to find a private key? What is the problem?

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A company decided to manufacture computer accessories at their production facilities. They have well facilitated and equipped production plant in 3 areas. They want to analyze meticulously where there production cost will reach the break-even point fast. Thus, they write down detail cost structure of three different areas, are as follows: location Dhaka Chottogram Khulna Fixed cost 4,00,000 3,00,000 2,00,000 Variable cost (Unit) 300 250 250 Now, they have hired you to calculate the BEP for each location. For your clarity, they provide you hypothetical production unit of 5,000 unit and 20,000. These two value will help you to compare the cost pattern. Instructions: Which range of production volume is more suitable for each location? Which one of the three is the best location at a production of 9,000 units? A company decided to manufacture computer accessories at their production facilities. They have well facilitated and equipped production plant in 3 areas. They want to analyze meticulously where there production cost will reach the break-even point fast. Thus, they write down detail cost structure of three different areas, are as follows: location Dhaka Chottogram Khulna Fixed cost 4,00,000 3,00,000 2,00,000 Variable cost (Unit) 300 250 250 Now, they have hired you to calculate the BEP for each location. For your clarity, they provide you hypothetical production unit of 5,000 unit and 20,000. These two value will help you to compare the cost pattern. Instructions: Which range of production volume is more suitable for each location? Which one of the three is the best location at a production of 9,000 units?