Sketch base pieces to illustrate each computation for questions 1 – 4. Provide a brief description of the process taking place, regrouping, etc. (5 points each)

1)14_fivex4

2) 48 / 4 * using base 10 pieces, illustrating long division

3)18 / 3 * using the Sharing (partitive) concept

4) 24 / 6*using the Measurement (subtractive) concept

Compute the product using the given method. Describe an advantage of the method. (6 points)

5) 248 x 367 * solve using lattice multiplication

The Boston Falafel sandwich market has the following supply and demand equations:
P = 22 - 3Q P = 2 + 2 Q
1)Draw the 2 curves on the same graph.
2)Find the equilibrium quantity and price.
3)Find the price elasticity of demand at equilibrium.
4)Find the price elasticity of supply at equilibrium.

Consider the following data for two variables,  and .

a. Develop an estimated regression equation for the data of the form y=b0+b1x . Comment on the adequacy of this equation for predicting . Enter negative value as negative number.

Using a .05 significance level, the p-value indicates a - Select your answer -weak relationship strong relationship no relationship ; note that  (to 1 decimal) of the variability in  has been explained by .

b. Develop an estimated regression equation for the data of the form y=b0+b1x+b2x^2. Comment on the adequacy of this equation for predicting y . Enter negative value as negative number. If your answer is zero, enter "0".

At the .05 level of significance, the relationship - Select your answer -is/ is not significant; note that   (to 1 decimal) of the variability in  has been explained by .

c.Using the appropriate regression model, predict the value of y when x=17 .

(to 2 decimals)

A testing laboratory has been hired by a company called “Drug Company Q” to analyze a series of over-the-counter drugs that the company produces. In these over-the-counter drugs, the active ingredient is called “Active Ingredient M.” The laboratory technician collected the following data from samples with known concentrations of the Active Ingredient M. That data is shown below in Table 2. Convert %T to absorbance (A=2-log(%T)) and prepare a Beer’s law plot using this data.

Table 2. Known Concentration of M Drugs.

The technician also collected absorbance readings for the 5 over-the-counter drugs for review. The data collected for the 5 over-the-counter drugs is shown in Table 3.

Table 3. Absorbance Data for Over-the-Counter Drugs.

A.       Create a Beer’s law plot and best fit line for the data in Table 1.

B Use the Beer’s law plot and best fit line to determine the concentrations for samples: M21050-1, M21050-2, M21050-3, M21050-4, M21050-5.

C.       The company reported that sample M21050-2 has an M concentration of 0.0003M. Assuming that the results in Question C are 100% accurate and without error, is the company’s statement accurate? What is the percent error between the reported concentration and the concentration calculated in Question C?

E. By law, Drug Company Q must have an M concentration between 2.85 x 10^-4 M and 3.15 x 10^-4M. Do all samples analyzed meet the legal requirements? Use the information from Question C to explain your answer.

I am SUPER confused on the last two parts? *UPDATED

Recreation 4 Fun is a manufacturer of recreational equipment. Performance of the fishing division is measured as an investment centre because the manager makes all the decision about investments in operating equipment and space. Following is financial information for the fishing division.

Fishing division’s required rate of return is 12 per cent, but Recreation 4 Fun’s weighted average cost of capital is 9 per cent, and the tax rate is 30 per cent.

Required

Round your answers to 2 decimal places if needed.

(1) Calculate ROI for the fishing division (1 mark).

(2) Calculate residual income (RI) for the fishing division (1 mark).

(3) Calculate economic value added (EVA) for the fishing division .

(4) Suppose the manager of the fishing division identifies a project costing $600,000 that will generate an additional $60,000 in operating profit. Will he choose to invest in the project if ROI is used to measure the performance? Will the CEO of Recreation 4 Fun choose to invest in the project? Show all calculations to support your conclusion .

Utility Problem Set #5H

Moe likes to visit a local establishment to consume pizza and beer. He has $16 in his pocket and plans to spend it all tonight. When he arrives at this establishment tonight he see the regular price for a draft beer is $4 and a slice of pizza is also $2 per slice.

On a napkin he sketches out the following information:

1. Complete the chart for Moe given the above information (10 points)

2)

i) Does Moe follow the law of diminishing marginal utility for beer?

ii) Does Moe follow the law of diminishing marginal utility for slices of pizza?

(1pt)

3. What combination of beer and pizza should Moe purchase tonight in order to maximize his utility? (3pts)

4. What is Moe’s total utility or total satisfaction from consuming the above combination of beer and pizza? (1pt)

Moe returns the next night to this establishment. He walks with his customary $16 in his pocket and notices that the establishment is having happy hour prices on draft beer. A draft is now $2. The price of a slice is still $2 per slice.

5. Using the information below concerning Moe’s tastes, fill in the blanks and find the combination of beer and pizza slice will maximize Moe’s utility tonight.(2pts)

6. What is Moe’s total utility or total satisfaction from consuming the above combination of beer and pizza? (1pt)

7) Draw Moe’s demand curve for beer. Be sure to label all axes and curves. (2 pts)

Blue Ridge Mill, was considering the addition of new on-site long-wood woodyard. The addition would have two primary benefits: to eliminate the need to purchase short-wood from an outside supplier and create the opportunity to sell short-wood on the open market as a new market for Worldwide Paper Company (WPC). The new woodyard would allow the Blue Ridge Mill not only to reduce its operating costs but also to increase its revenues. The proposed woodyard will utilise new technology that allows tree-length logs, called long-wood, to be processed directly, whereas the current process required short-wood, which had to be purchased from the Shenandoah Mill. This nearby mill, owned by a competitor, has excess capacity that allows it to produce more short-wood than it needs for its own pulp production. The excess is sold to several different mills, including the Blue Ridge Mill. Thus, adding the new long-wood equipment would mean that Prescott would no longer need to use the Shenandoah Mill as a short-wood supplier and that the Blue Ridge Mill would instead compete with the Shenandoah Mill by selling on the short-wood market. The question for Prescott was whether these expected benefits were enough to justify the $18m capital outlay plus the incremental investment in working capital over the six-year life of the investment. Construction would start within a few months, and the investment outlay would be spent over two calendar years: $16m in 2020 and the remaining $2m in 2021. When the woodyard begins operating in 2021, it would significantly reduce the operating costs of the mill. These operating savings would come mostly from the difference in the cost of producing short-wood on-site versus buying it on the open market and were estimated to be $2m for 2021 and $3.5m per year thereafter. Prescott also planned on taking advantage of the excess production capacity afforded by the new facility by selling short-wood on the open market as soon as possible. For 2021, he expected to show revenues of approximately $14m, as the facility came on-line and began to break into the new market. He expected shortwood sales to reach $20m in 2022 and continue at the $20m level through 2026. Prescott estimated that the cost of goods sold (before including depreciation expense) would be 75%. In addition to the capital outlay of $18m, the increased revenues would necessitate higher levels of inventories and accounts receivable. Therefore the amount of working capital investment each year would equal 15% of incremental sales for the year. At the end of the life of the equipment, in 2026, all the net working capital on the books would be recoverable at cost fully. Taxes would be paid at a 30% rate, and the equipment depreciation is to be calculated on a straight-line basis over the six-year life to zero balance. However, the new equipment is estimated to have a salvage value (scrap value) of $3m at the end of its life. WPC’s accountants have told Prescott that depreciation charges could not begin until 2021, when all the $18m had been spent and the equipment is in service. WPC has a company policy to use 15% as the hurdle rate for such investment opportunities. The hurdle rate is based on the study of the company’s cost of capital conducted 5 years ago.

A) Perform a sensitivity analysis on NPV of the project on the following scenarios: (i) Sales increases/decreases by 10%. (ii) Cost of capital increases/decreases by 10%. Comment on the feasibility of the project under each scenario.

Scenario A. A professor is interested in studying how sleep influences exam performance. She instructs her students to sleep for 8 hours before exam 1, to sleep for 4 hours before exam 2, and to not sleep at all before exam 3 and then compares exam scores.

1. What is the independent variable?

2. How many levels are there for the independent variable?

3. What is the dependent variable?

4. What is the confound?

Scenario B. A researcher is interested in studying how alcohol consumption influences memory. She goes into a local bar and asks bar patrons who have had at least two alcoholic drinks in the past hour to complete a memory test. She then compares their memory scores to a control group, who came into her laboratory at the university to complete the memory test (while sober).

1. What is the independent variable?

2. How many levels are there for the independent variable?

3. What is the dependent variable?

4. What is the confound?

Scenario C. A researcher is interested in whether living in a city where the major sports team is currently doing well makes residents feel happier and more connected to their city than if their sports team is doing poorly. He asks residents of Washington, D.C. to rate their feelings of connectedness to their city (on a scale of 1-10) during game 3 of the World Series, when their baseball team, The Nationals, are currently winning the series (2-0). He then asks residents of Pittsburgh, PA to rate their feelings of connectedness to their city (on a scale of 1-10) during fifth week of the football season, when their football team, the Steelers, have yet to win a game all season (when their record is 0 wins and 5 losses).

1. What is the independent variable?

2. How many levels are there for the independent variable?

3.What is the dependent variable?

4. What is the confound?

Scenario D A researcher wants to see if a new phone app can help to treat anxiety better than in-person therapy or medication. She has participants in her study complete two weeks of treatment with the app, two weeks of treatment with medication, and then two weeks of treatment in-person with a therapist. She compares anxiety scores after each round of treatment.

1. What is the independent variable?

2. How many levels are there for the independent variable?

3. What is the dependent variable?

4. What is the confound?