BM0307: Quantitative Business Analysis - Joe and Sarah Case Study - Business Assignment Help

Assignment Task:

Question 1: Impact of Compound interest
When Joe and Sarah graduate from college, each expects to work a total of 45 years. Joe begins saving for retirement immediately. He plans to deposit K600 at the end of each quarter into an account paying 8.1% interest, compounded quarterly, for 10 years. He will then leave his balance in the account, earning the same interest rate, but make no further deposits for 35 years. Sarah plans to save nothing during the first 10 years and then begin depositing K600 at the end of each quarter in an account paying 8.1% interest, compounded quarterly, for 35 years.
(a) Without doing any calculations, predict which one will have the most in his or her retirement account after 45 years. Then test your prediction by answering the following questions (calculation required to the nearest dollar).
(b)How much will Joe contribute to his retirement account?
(c) How much will be in Joe’s account after 45 years?
(d)How much will Sarah contribute to her retirement account?
(e) How much will be in Sarah’s account after 45 years?

Question 2: Linear Equations with three unknowns
Mr. John starts an electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit of zinc, and 2 units of glass. Each resistor requires 3, 2, and 1 unit of the three materials, and each computer chip requires 2, 1, and 2 units of these materials, respectively. How many of each product can be made with the following amounts of materials? He has totally 810 units of copper, 410 of zinc, and 490 of glass
i) Compute the equation
ii) Solve this linear equation by gauss Jordon method
iii) Solve this linear equation by elimination method
iv) Compare the values of unknown estimated in i) and ii) and summarize the output in 50 words.