At the Stop​ 'n Go​ tune-up and brake​ shop, the manager has found that an SUV will require a​ tune-up with a probability of​ 0.6, a brake job with a probability of 0.1 and both with a probability of 0.02. What is the probability that an SUV requires either a​ tune-up or a brake​ job?

Sales of roof material, by quarter, since 2005 for Carolina Home Construction Inc. are shown below (in $ thousands).

1. Determine the typical seasonal patterns for sales using the ratio-to-moving-average method. (PLEASE DONOT USE EXCEL. PLEASE SHOW ALL MANUAL WORKINGS HOW DID YOU GET ANSWER IN THE TABLE)

2. Deseasonalize the data and determine the trend equation. PLEASE DONOT USE EXCEL. PLEASE SHOW ALL MANUAL WORKINGS HOW DID YOU GET ANSWER IN THE TABLE)

3. Project the sales for 2012, and then seasonally adjust each quarter.

Need a MATLAB code for LU factorization(both partial and complete pivoting) of 10 random matrices of order 5x5.

Please do not comment like I don't have computer or I don't know matlab. If you please answer otherwise you can skip.

For today's assignment you will choose four different electronic devices and four different consumer products (other than electronics) of your choice and answer the following for each:

1) The year it was introduced and its initial or introductory price

2) What is the price now?

3) Where is it located in the product life-cycle? (what period, your opinion)

4) Is it being replaced (discontinued or discounted) by a newer version?

5) In your opinion (if it has not happened yet) will be its death price and how long (months or years) will it have been in the market?

6) List one improvement that you would make for each item.

7) Finally, draw a product life-cycle graph and place each item on it showing where it is at currently.

Portfolio beta and weights

Brandon is an analyst at a wealth management firm. One of his clients holds a $5,000 portfolio that consists of four stocks. The investment allocation in the portfolio along with the contribution of risk from each stock is given in the following table:

Brandon calculated the portfolio’s beta as 0.930 and the portfolio’s expected return as 9.1150%.

Brandon thinks it will be a good idea to reallocate the funds in his client’s portfolio. He recommends replacing Atteric Inc.’s shares with the same amount in additional shares of Transfer Fuels Co. The risk-free rate is 4%, and the market risk premium is 5.50%.

According to Brandon’s recommendation, assuming that the market is in equilibrium, how much will the portfolio’s required return change? (Note: Do not round your intermediate calculations.)

A. 0.9625 percentage points

B. 1.1935 percentage points

C. 0.7508 percentage points

D. 1.1069 percentage points

Analysts’ estimates on expected returns from equity investments are based on several factors. These estimations also often include subjective and judgmental factors, because different analysts interpret data in different ways.

Suppose, based on the earnings consensus of stock analysts, Brandon expects a return of 9.65% from the portfolio with the new weights. Does he think that the required return as compared to expected returns is undervalued, overvalued, or fairly valued?

A. Overvalued

B. Fairly valued

C. Undervalued

Suppose instead of replacing Atteric Inc.’s stock with Transfer Fuels Co.’s stock, Brandon considers replacing Atteric Inc.’s stock with the equal dollar allocation to shares of Company X’s stock that has a higher beta than Atteric Inc. If everything else remains constant, the portfolio’s risk would ____________ . (decrease or Increase)

The Korlebu Teaching Hospital is modernising its operations with the introduction of a new ID system following its experiences from the COVID-19 pandemic. Starting 2021, all staff and patients of the hospital shall be required to carry a chip and pin card called the ‘Master Card’. This will be a smart card bearing information such as the bearer’s personal details, department, assigned unit, health insurance records, medical conditions, medications and prescriptions, and emergency contacts. The Master Card can also be used as a debit card to make payments anywhere within the hospital for services used or products purchased. Hospital administrators and staff are excited about the new ID system and the security it will provide as well as the revenue potential it will generate from patients. They have however, not carefully thought about the process of issuing approximately 100,000 cards covering all staff and patients. Granted that 120 applicants can be processed in a 5- hour day, the entire 100,000 staff and patients could be issued with the cards within the estimated time. The activities covered within the process and approximate activity times are given as follows: activity 1 must be completed before activities 2 and 3. Activities 4 and 5 are preceded by activities 2 and 3 respectively. Activity 6 follows the completion of activities 4 and 5. The predecessor activities for activity 7 and 8 are activities 6 and 7 respectively. A description of the activities and durations are presented in the table below. Activity Number Activity Description Activity Duration (minutes) 1 Pick application forms to complete 1 2 Review application for errors 0.5 3 Verify information on the application 1 4 Process and record payment 2 5 Take picture of applicant 0.5 6 Attach picture unto the soft card 0.5 7 Magnetize and generate pin 1 8 Issue master card to applicant 0.5 a. Draw the precedence diagram for the processes b. Design a process layout with minimum number of workstations that would achieve the daily production target without violating the precedence constraints c. Is it possible to issue a card per applicant every 5 minutes and why? d. How efficient is your line? . e. Determine the balance delay

1. Derive the coordinate transformation changes form the spherical to Cartesian

Problem 3. Consider the unit interval [0, 1], and let ξ be fixed real number with ξ ∈ (0, 1) (note that the case ξ = 1/3 corresponds to the regular Cantor set we learned in our lectures). In stage 1 of the construction, remove the centrally situated open interval in [0, 1] of length ξ. In stage 2 remove the centrally situated open intervals each of relative length ξ (i.e. if the interval has length a you remove an interval of length ξ × a), one in each of the remaining intervals after stage 1, and so on. Let C_ξ denote the set which remains after applying the above procedure indefinitely

(a) Prove that C_ξ is compact.

(b) Prove that C_ξ is totally disconnected and perfect.

(c) Atually, prove that the complement of C_ξ in [0, 1] is the union of open intervals of total length equal to 1.

Let A be a finite set. Say A has five elements.

(a) Can you find a function g : A → A which is injective but not surjective? Explain your answer.

(b) Can you find a function f : A → A which is surjective but not injective? Explain your answer

Planning a festival. The Earth Day Committee has begun planning for an Earth Day festival. We list the subtasks for this project and the dependencies among them in the following table. Draw a PERT diagram for this project and construct a schedule for the tasks.

28. calculate  the present value of the annuity. (Round your answer to the nearest cent.)

$1300 monthly at 6.3% for 30 years.

29. determine the payment to amortize the debt. (Round your answer to the nearest cent.)

Monthly payments on $130,000 at 4% for 25 years.

You took a short futures position in 10 contracts, covering each 100 ounces of gold at a price of $276.5 per ounce. The initial and the maintenance margin requirement are respectively $1500 and is $1100 per contract. No withdrawal in any excess margin will be made. Ignore any interest on the balance.

The settlement prices per ounce of gold at the end of days 1, 2 and 3 are respectively $278, $281 and $276.

(c) Calculate your total gain or loss at the end of day 3, and the annualized return. [5]

21. the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the required payment for the sinking fund. (Round your answer to the nearest cent.)

Monthly deposits earning 4% to accumulate $3000 after 10 years.

22. the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the required payment for the sinking fund. (Round your answer to the nearest cent.)

Yearly deposits earning 12.9% to accumulate $2500 after 12 years.

Big Retailer (BR) follows a moderate current asset investment policy, but is now considering a change, perhaps to a restricted or maybe to a relaxed policy. BR’s annual sales are $1,400,000; its fixed assets are $950,000; its target capital structure calls for 40% debt and 60% equity; its EBIT is $500,000; the interest rate on debt is 8%; and its tax rate is 20%. With a restricted policy, current assets will be 20% of sales, while under a relaxed policy, current assets will be 35% of sales. What is the difference in the projected ROEs between the restricted and relaxed policies?