Question:

For this activity, you have been hired as a team of consultants on a multi-year basis for a global washer and dryer manufacturer. They currently offer two core washer and dryer sets: a high-end model and an economic model. You are tasked to complete several calculations and present your findings to the company stakeholders. You must use Microsoft PowerPoint and your completed presentation should consist of 12 - 15 slides. Please do not exceed the total maximum of 15 slides to prevent points deduction. A copy of the final presentation will be submitted by each member of the group in Unit 7.

1. For your first assignment, management has provided the following revenue and cost information:

High-End SetEconomical SetSales price $3,500 per unit $1,000 per unit Labor $875 per unit $250 per unitMaterials $1400 per unit $300 per unit

Direct fixed costs $25,000 per month $16,500 per monthAllocated fixed costs $85,000 per month $85,000 per month

They want a better understanding of their business to make budgeting and sales goals decisions and have asked you to determine their:

Contribution Margins for each product line

Break-even quantities for each product line

Break-even quantities to earn $500,000 per year margin on the high-end line (at the current sales price)

Break-even quantities to earn $300,000 per year margin on the economical line (at the current sales price)

They expect the product lines to fully absorb the costs allocated to them. They have also asked that you show each step in your calculations so that they can understand your analysis. (Note: you will be graded on your intermediary values.)

Once you have determined these amounts, they have asked that you:

present the information

describe how you performed your calculations

and explain what the results mean

2. Later, the company is considering the purchase of machinery and equipment to set up a line to produce a combination washer-dryer. They have given you the following information to analyze the project on a 5-year timeline:

Initial cash outlay is $150,000, no residual value.

Sales price is expected to be $2,250 per unit, with $595 per unit in labor expense and $795 per unit in materials.

Direct fixed costs are estimated to run $20,750 per month.

Cost of capital is 8%, and the required rate of return is 10%.

They will incur all operational costs in Year 1, though sales are expected to be 55% of break-even.

Break-even (considering only direct fixed costs) is expected to occur in Year 2.

Variable costs will increase 2% each year, starting in Year 3.

Sales are estimated to grow by 10%, 15%, and 20% for years 3 - 5.

They have asked you to calculate:

The product's contribution margin

Break-even quantity

NPV

IRR

Once you have determined these amounts, they have asked that you present the information, describe how you performed your calculations, and explain what the results mean.

After you have completed the calculations and presented your work, management makes the investment.

Explain how the project analyses do or do not support this decision.

In either case, what are the factors that should have been considered in management's decision?

3. After the combo washer-dryer has been in production for a few years, you are asked to perform another analysis. You must evaluate the performance of all three product lines as management is concerned with the viability of the washer-dryer combination product. They provide you with the latest annual information by product:

High-End Set Economical Set W/D Combo Total Sales $4,700,000 $4,060,000 $880,000 $9,640,000 Labor $(1,250,000) $(1,015,000) $(235,000) $(2,500,000) Materials $(1,885,000) $(1,220,000) $(315,000) $(3,420,000) Direct fixed costs $(325,000) $(220,000) $(250,000) $(795,000) Allocated fixed costs $(650,000) $(650,000) $(650,000) $(1,950,000) Net Income $590,000 $955,000 $(570,000) $975,000

You are asked to perform an analysis to determine whether to drop or keep the washer-dryer combination product and present your findings, including the steps taken to make your determination. You are also asked to evaluate if the costing methodology is appropriate and, if not, recommend alternative methods.

Please describe the circumstances of the case study and make the required recommendations. Explain your approaches to the problems, perform relevant calculations and analyses, and justify your recommendations. Evaluate the results and explain what each calculated value means. Ensure your work and conclusions are thoroughly supported.

Superior presentations will:

Describe the circumstances.

Perform all calculations correctly.

Articulate how the calculations were performed.

Evaluate the computations and explain their meanings.

Make recommendations, supported by well-thought-out rationale and considering various factors that could impact the recommendations.

Mark the only correct statement. D'Alembert reduced the wave equation by a simple transformation of time to a basic form and found the generic solution for that in terms of two functions. The term "hydrodinamica" (hydrodinamics) was coined by Johann Bernoulli. O Johann Bernoulli correctly solved the Isoperimetric Problem, Toricelli's elementary method to compute the length of the logarithmic spiral was later rediscovered by Harriot.10. (2 pts.) Let X be a standard Gaussian random variable (i.e., with mean ( and variance 1). Using the Gaussian table and Theorem 8.1 at the end of this exam, Which is the most accurate statement about | X ] among the choices? (a) The Chebyshev inequality gives a bound that is more than four times P( X | 2 1) and gives a bound that is more than four times P(|X | 2 2)- (b) The Chebyshev inequality gives a bound that is more than four times P(|X" | 2 1) and gives a bound that is less than four times P(|X | 2 2). (c) The Chebyshev inequality gives a bound that is less than four times P(|X" | 2 1) and gives a bound that is more than four times P(|X | > 2). (d) The Chebyshev inequality gives a bound that is less than four times P(|X | 2 1) and gives a bound that is less than four times P(|X | > 2).2. (a) Compare the Markov inequality and the exact probability for the event {X > c} as a function of c for: (i) X is exponential random variable with parameter A. (ii) X is a Pareto random variable with a > 1. (b) Compare the Chebyshev's inequality and the exact probability for the event {|X - m > c} as a function of c for (i) X is a Laplacian random variable with parameter o. (ii) X is a zero-mean Gaussian random variable with variance o?.2. X is a Gaussian random variable with ux = 0 and Var(X] = 36, and M,(X) is the sample mean of n independent samples of X. (a) [2 pts] Find E[Mico(X)] and Var [Mico(X)]. (b) [2 pts] Use Chebyshev's Inequality to find the smallest value of c satisfying the inequality P[IMwoo(X)| > c] $0.1. (c) [2 pts] Let Wn = Xi+ ... + Xn. Find E[Wico] and Var [W100] (d) [4 pts] Use the Central Limit Theorem to find P[W 100 > 99]