Answer the following questions. (5)

(a) What is the implication of a correlation matric not being positive-semidefinite?

(b) Why are the diagonal elements of a correlation matrix always 1?

(c) Making small changes to a positive-semidefinite matrix with 100 variables will have no effect on the matrix. Explain this statement?

The Local Bottling Company has just installed a new bottling process that will fill 16-ounce bottles of the popular Paradise Classic Cola soft drink. Both overfilling and underfilling bottles are undesirable: Underfilling leads to customer complaints and overfilling costs the company considerable money. In order to verify that the filler is set up correctly, the company wishes to see whether the mean bottle fill, μ, is close to the target fill of 16 ounces. To this end, a random sample of 38 filled bottles is selected from the output of a test filler run. If the sample results cast a substantial amount of doubt on the hypothesis that the mean bottle fill is the desired 16 ounces, then the filler’s initial setup will be readjusted.

(a) The bottling company wants to set up a hypothesis test so that the filler will be readjusted if the null hypothesis is rejected. Set up the null and alternative hypotheses for this hypothesis test.

H₀ : μ

H_a : μ

(b) Suppose that Local Bottling Company decides to use a level of significance of α = 0.01, and suppose a random sample of 38 bottle fills is obtained from a test run of the filler. For each of the following two sample means— x⎯⎯

= 16.05, x⎯⎯

= 15.97} — determine whether the filler’s initial setup should be readjusted. In each case, use a critical value, a p-value, and a confidence interval. Assume that σ equals .1. (Round your z to 2 decimal places and p-value to 4 decimal places.)

x⎯⎯

= 16.05

Decision:

x⎯⎯

= 15.97

DECISION:

NEED ANSWER IN NEXT 20 MIN TIMED HW

A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of 15cos(3t)−10sin(3t) N,determine the steady-state response in the form Rcos(ωt−δ)

I just need to understand Question 1 and 2. I just wanted to make sure I did the revenue management right.

Freedom Airlines recently started operations in the Southwest. The airline owns two airplanes, one based in Phoenix and the other in Denver. Each airplane has a coach section with 140 seats available. Each afternoon, the Phoenix based airplane flies to San Francisco with stopovers in Las Vegas and in San Diego. The Denver-based airplane also flies to San Francisco with stopovers in Las Vegas and in San Diego. Each airplane returns to its home-base with no stopovers.

Freedom Airlines uses two coach-fare classes: A discount fare (A) and a full fare (B). Discount fares are available with a 21-day advance purchase. Full fares applied at any time, up to the time of the flight.

Below is the daily fare and demand data for 16 selected Freedom Airline itineraries. Itineraries 1 through 6 apply to the Phoenix based airplane (leg 1); itineraries 7 through 12 apply to the Denver based airplane (leg 2); itineraries 13 and 14 apply to the Phoenix based airplane (leg 3); itineraries 15 and 16 apply to the Denver based airplane (leg 4):

1. Develop a revenue management (maximizing) model based on the information given in the scenario.
2. How many seats should be allocated to each of the 16 itineraries to maximize revenue?

Please provide thorough proof or derivation for Fundamental Theorem of Calculus Part 1 (Limit of sum of Areas is equal to F(b)-F(a)

EXCEL SOLVER: A gold processor has two sources of gold ore, source A and source B. In order to keep his plant running, at least three tons of ore must be processed each day. Ore from source A costs $20 per ton to process, and ore from source B costs $10 per ton to process. Costs must be kept to less than $80 per day. Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A. If ore from source A yields 2 oz. of gold per ton, and ore from source B yields 3 oz. of gold per ton, how many tons of ore from both sources must be processed each day to maximize the amount of gold extracted subject to the above constraints? NEED TO ANSWER IN EXCEL SOLVER NEED HELP PLEASE

Find the equation of the ellipse with foci at (0, 0) and (2, 2), with eccentricity e = 0.5. Express the equation in standard form ax2 + by2 + cxy + dx + ey = f and in terms of the distance formula sqrt(x^2+y^2) + sqrt[(x-2)^2 +(y-2)^2]=?

There is an answer posted on Chegg, but I don't think I agree with it. Since the foci are at (0, 0) and (2, 2) it seems that the major axis is rotated 45 degrees CCW. I can find a, b, and c. I don't understand how to account for the rotation in the formula. Can you help?

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