Given the following data, use exponential smoothing with a = 0.3 and α =.5 to develop a demand forecasts for period 7.  Assume that the forecast for week 1= 19. Use the Mean Absolute Percent Error to determine which forecasts are more accurate.

Agency – Practice Hypothetical’s

Basic Facts: Professor Green hires Helen Brown to sell his used law books for him because they are cluttering up his office. He says to her “you have authority to sell certain specified law books for $10.00 or more each.” Professor Green gives Helen the key to his office in order to show people the books and puts up signs all over campus which say:

USED BOOKS FOR SALE

Professor Green has Used Law Books for Sale

Price is Negotiable

See Helen Brown for further details

Professor Green also tells Helen the following:

1. Don’t sell, under any circumstances, my two books on agency law because I can never remember all the silly rules.

2. Don’t stand on the chair because it’s broken.

Hypo 1. Helen sells a corporate book for $25.00. Professor Green has forgotten to tell Helen that he also doesn’t want her to sell his contracts books. Can he get it back?

Hypo 2. Helen takes a second customer into the office and shows her the book selection. However, the dust on the books is so bad that the customer has an asthma attack and runs out. Helen hires someone to come in and clean the books and runs a bill of $25.00. Does Professor Green have to pay the bill?

Hypo 3. Helen takes a customer into the office and is offered $1,000.00 for the agency book. She is excited about the amount and, forgetting what Professor Green told her, sells it to the customer. Can Professor Green get it back?

Hypo 4. Helen sells Professor Green’s old corporations book for $5.00 and, getting angry, he demands that the customer return the book. Can he get it back?

Hypo 5. Helen steps on the chair to reach for a law book to sell it and injures herself. Can she recover any damages for her injury from Professor Green?

Mary has a limited food budget, but still wants to make sure her family members meet their daily nutritional requirements. Mary can buy two foods. Food 1 sells for $7 per pound, and each pound contains 3 units of vitamin A and 1 unit of vitamin C. Food 2 sells for $1 per pound, and each pound contains 1 unit of each vitamin. Each day, the family needs at least 12 units of vitamin A and 6 units of vitamin C. To minimize the total cost while satisfying the vitamin requirements, build a spreadsheet model to find out how much of each food Mary should buy. Answer the following questions (no need to present the model). (1) What is the optimal solution? (2) What is the minimum cost? (3) How is each vitamin requirement satisfied (exactly satisfied, or oversatisfied)?

show the steps how to get the result of this integral with infinite and -infinite as boundaries

((x^2*(e^x)/((e^x+1)^2) = pi^2 / 3

Suppose A and B are closed subsets of R. Show that A ∩ B and A ∪ B are closed.

There lays a 10x10 square grid in front of Claire and she is instructed to stand in the lower left square of the grid. She is asked to make her way to the top right square of the grid but she can only move 1 square up or 1 square to the right at a time.

1. In how many ways could she make a path to the top right corner?

2. In how many ways could she make a path if she was also required to pass through the center square (5,5)?

For a linear transformation between two finite-dimensional vector spaces.

A) State the "Rank-Nully Theorem" for the linear transformation.

B) Prove the "Rank-Nully Theorem" you just stated in (A).

Find the eigenvalues of the problem:

y'' + λy = 0, 0 < x < 2π, y(0) = y(2π), y' (0) = y'(2π)

and one eigenfunction for each eigenvalue.

Use the Gram-Schmidt process to transform the following vectors into an orthonormal basis of R4:

u1=?(0 2 1 0)?, u2=(?1 −1 0 0) ,u3=?(1 2 0 −1?), u4=?(1 0 0 1?)

can you do this in MATLAB with step by step on how to use the code

9. In 2018, 77% of the population of Netflix consumers in the United States had a positive opinion of the

service. (remember, a percentage is a proportion x 100, so the population proportion here will be the

77/100)

a) What is the standard error of the sample proportion for a sample of 100 Netflix consumers? and of

200 Netflix consumers? (to 5 decimal places)

b) What is the probability that a random sample of 100 Netflix consumers will have a sample proportion

within 0.03 (

of the population proportion?

±

3%)

c) What is the probability that a random sample of 200 Netflix consumers will have a sample proportion

within 0.03 (

of the population proportion?

±

3%)

d) When sample size increases, we can see that the probability of getting a sample proportion close to

the true population proportion goes ___________ (

up/down

). So, as the sample size increases, point

estimators are likely to become _____________ (

more/less

) accurate.

Chapter 2 material:

Which accounts on Target’s balance sheet are accrual-type accounts?

Which accounts on Target’s balance sheet are deferral-type accounts?

Compare Target’s 2015 net earnings (the year ended January 30, 2016) to its 2015 cash provided by operating activities. Which is larger?

First, compare Target’s 2014 net income to its 2015 net income. Next, compare Target’s 2014 cash provided by operating activities to its 2015 cash provided by operating activities. Which changed the most from 2014 to 2015, net earnings or cash provided by operating activities?

Why did Target’s net earnings change so much from 2014 to 2015?

An oil company produces gasoline from five inputs. The cost, density, viscosity, and sulfur content, and the number of barrels available of each input are listed in the file PO4_78.xlsx. Gasoline sells for $75 per barrel. Gasoline can have a density of at most .95 units per barrel, a viscosity of at most 35 units per barrel, and a sulfur content of at most 3.3 units per barrel. How can the company maximize its profit.

The approach of mathematics has changed over the years.  Describe how the approach of mathematics began starting in Ancient Babylonia, and then discuss how it changed during the time of the Ancient Greeks.  Then, compare this to how mathematics is approached today.  Be specific in your description and explanation.

1) Choose a subgroup of Pentagons D₅, and list all the left or right cosets of your pet. Will the set of right cosets be different from the left cosets? Explain.

2) Does Pentagons D_5, have any non-trivial normal subgroups? If so, give an example.If not, explain why not.

3) Is there a second binary structure that would make Pentagons D₅ a ring?

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

f(x, y) = x³ − 3x + 3xy²