1. A manufacturing company manufactures a cardboard box with a square base and a height of 15 inches. Suppose the equation x² +60x- 7,200 = 0 can be used to find the length and width of the base of the box, each measuring x inches.

Write the equation in factored form.

Use the zero product property to solve the equation. Show all the steps needed to find both answers.

Explain how the solution relates to this situation

2. City engineers decide to build a rectangular dog park that has an area of 3,600 square yards, where the length of the park is 10 more yards than twice its width. The equation x² +5x-1,800 = 0 can be used to find the width of the dog park.

Write the equation in factored form

Use the zero product property to solve the equation. Show all the steps needed to find both answers.

Explain how the solution relates to this situation.

3. A graphic designer uses a photo editing program to increase both the height and width of a square image by 3 inches. Suppose the equation x² +6x-55 = 0 can be used to find the height and width of the original image.

Write the equation in factored form.

Use the zero product property to solve the equation. Show all the steps needed to find both answers.

Explain how the solution relates to this situation.

Costs that change abruptly at different levels of activity because the resources are available only in indivisible chunks are called ________.

A) mixed costs

B) variable costs

C) fixed costs

D) step costs

Answer:

A compensation plan where the sales force is paid salary plus commission is a ________.

A) purely variable cost

B) mixed cost

C) step cost

D) fixed cost

Answer:

The break-even point on the cost-volume-profit graph is where the ________.

A) total cost line intersects the net profit line

B) total cost line intersects the net loss line

C) revenue line intersects the total cost line

D) revenue line intersects the variable cost line

Answer:

Suppose a hotel has annual fixed costs applicable to its rooms of $2.0 million for its 300-room hotel. Average daily room rents are $50 per room and average variable costs are $10 for each room rented. It operates 365 days per year. If the hotel is completely full throughout the year, what is net income for one year?

A) $1,280,000

B) $2,380,000

C) $3,180,000

D) $4,380,000

Answer:

Murphy Company produces dolls. Each doll sells for $20.00. Variable costs per unit are $14.00 and total fixed costs for the period are $435,000. What is the break-even point in units?

A) 21,750

B) 31,071

C) 51,176

D) 72,500

Pacific Hotels operates a centralized call center for the reservation needs of its hotels. Costs associated with use of the center are charged to the hotel group (luxury, resort, standard, and budget) based on the length of time of calls made (time usage). Idle time of the reservation agents, time spent on calls in which no reservation is made, and the fixed cost of the equipment are allocated based on the number of reservations made in each group. Due to recent increased competition in the hotel industry, the company has decided that it is necessary to better allocate its costs in order to price its services competitively and profitably. During the most recent period for which data are available, the use of the call center for each hotel group was as follows:

During this period, the cost of the call center amounted to $880,000 for personnel and $630,000 for equipment and other costs.

Required:

a. Determine the allocation to each of the divisions using the following:

1. A single rate based on time used. (Do not round intermediate calculations.)

2. Dual rates based on time used (for personnel costs) and number of reservations (for equipment and other cost). (Do not round intermediate calculations.)

Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 64.0 kg and standard deviation σ = 7.7 kg. Suppose a doe that weighs less than 55 kg is considered undernourished.

(a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.) Incorrect: Your answer is incorrect.

(b) If the park has about 2250 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.) Incorrect: Your answer is incorrect. does

(c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 55 does should be more than 61 kg. If the average weight is less than 61 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for a random sample of 55 does is less than 61 kg (assuming a healthy population)? (Round your answer to four decimal places.) Incorrect: Your answer is incorrect.

(d) Compute the probability that x < 65.1 kg for 55 does (assume a healthy population). (Round your answer to four decimal places.)

Saving the Glaciers

The glaciers have been disappearing from Glacier National Park in Montana and adjoining Waterton National Park in Canada. In 1850, Glacier is said to have had 150 glaciers; in 2006 there were 27. In response to this trend, various organizations petitioned for the parks to be designated endangered by being placed on the danger list of the World Heritage Committee. As one report says,

Endangered status would require the World Heritage Committee to find ways to mitigate how climate change affects the park, [the law professor who wrote the petition] said . . . Better fuel efficiency for automobiles and stronger energy efficiency standards for buildings and appliances are among the ways to reduce greenhouse pollution that contributes to warming, the petition [said].

But some denounced the petition as unnecessary and unsupported by scientific data, while one group of scientists estimated that if climate trends continue, Glacier Park’s glaciers will disappear completely by 2030.

Justify your answers: Suppose the glaciers’ melting would have no appreciable effect on the environ- ment except that they would no longer exist. Would conservationists still be justified in trying to save the glaciers? If so, how could they justify their efforts? If not, why not? Suppose the glaciers could be saved only if the government spends $10 billion on pollution controls—money that would have to be taken away from social programs. Would this cost be worth it? Why or why not? Using the utilitarian Theory

This is for a hotel that would be located in the University of the Virgin Islands

Section VI: Marketing Strategies

Unit-level goals and strategies

A.        Marketing: At least five items need to be identified as part of the Marketing Strategy

1. Target market: should identify the primary customers of the business. This should include demographics including age ranges, socioeconomic status, customer locations.

2. Product mix strategy: this should consist of a description of the services offered at Lovango Key Resort. Current and Future. If you are not sure, research product mix.

3. Pricing strategy Pricing strategy should follow the product strategy. Thus, your work must state if the prices are higher, lower, or match the competition. You must defend your strategy as to why you have chosen this strategy. Be articulate.

4. Promotion and selling strategy: The promotion strategy is one key part of the overall marketing strategy. What promotional strategy will be developed? What is the recommended budget for advertising and other promotional activities. State what the promotional activities are planned. State what media you may plan for. How much does this cost per event? (hint, you must research costs. BE SURE TO CITE YOUR WORK and RESEARCH). It may be good to create a 1 year promotional plan to insert as part of this section of the strategic plan.

5. Service Strategy: Service strategy should be strait forward and outline the day-to-day service policies. This section should focus on the degree of service.

A new fuel injection system has been engineered for pickup trucks. The new system and the old system both produce about the same average miles per gallon. However, engineers question which system (old or new) will give better consistency in fuel consumption (miles per gallon) under a variety of driving conditions. A random sample of 31 trucks were fitted with the new fuel injection system and driven under different conditions. For these trucks, the sample variance of gasoline consumption was 53.6. Another random sample of 23 trucks were fitted with the old fuel injection system and driven under a variety of different conditions. For these trucks, the sample variance of gasoline consumption was 33.7. Test the claim that there is a difference in population variance of gasoline consumption for the two injection systems. Use a 5% level of significance. How could your test conclusion relate to the question regarding the consistency of fuel consumption for the two fuel injection systems?

(a) What is the level of significance?


State the null and alternate hypotheses.

H_o: σ₁² = σ₂²; H₁: σ₁² > σ₂²

H_o: σ₁² > σ₂²; H₁: σ₁² = σ₂²    

H_o: σ₂² = σ₁²; H₁: σ₂² > σ₁²

H_o: σ₁² = σ₂²; H₁: σ₁² ≠ σ₂²

(b) Find the value of the sample F statistic. (Round your answer to two decimal places.)


What are the degrees of freedom?

What assumptions are you making about the original distribution?

The populations follow independent normal distributions.

The populations follow independent chi-square distributions. We have random samples from each population.    

The populations follow dependent normal distributions. We have random samples from each population.

The populations follow independent normal distributions. We have random samples from each population.

(c) Find or estimate the P-value of the sample test statistic.

P-value > 0.200

0.100 < P-value < 0.200    

0.050 < P-value < 0.100

0.020 < P-value < 0.050

0.002 < P-value < 0.020

P-value < 0.002

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.    

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(e) Interpret your conclusion in the context of the application.

Fail to reject the null hypothesis, there is sufficient evidence that the variance in consumption of gasoline is greater in the new fuel injection systems.

Reject the null hypothesis, there is insufficient evidence that the variance in consumption of gasoline is greater in the new fuel injection systems.    

Reject the null hypothesis, there is sufficient evidence that the variance in consumption of gasoline is different in both fuel injection systems.

Fail to reject the null hypothesis, there is insufficient evidence that the variance in consumption of gasoline is different in both fuel injection systems.

A new fuel injection system has been engineered for pickup trucks. The new system and the old system both produce about the same average miles per gallon. However, engineers question which system (old or new) will give better consistency in fuel consumption (miles per gallon) under a variety of driving conditions. A random sample of 41 trucks were fitted with the new fuel injection system and driven under different conditions. For these trucks, the sample variance of gasoline consumption was 54.8. Another random sample of 27 trucks were fitted with the old fuel injection system and driven under a variety of different conditions. For these trucks, the sample variance of gasoline consumption was 36.4. Test the claim that there is a difference in population variance of gasoline consumption for the two injection systems. Use a 5% level of significance.

How could your test conclusion relate to the question regarding the consistency of fuel consumption for the two fuel injection systems? (a) What is the level of significance? 0.05

State the null and alternate hypotheses. Ho: σ12 = σ22; H1: σ12 > σ22 Ho: σ12 > σ22; H1: σ12 = σ22 Ho: σ22 = σ12; H1: σ22 > σ12 Ho: σ12 = σ22; H1: σ12 ≠ σ22

(b) Find the value of the sample F statistic. (Round your answer to two decimal places.)

What are the degrees of freedom? dfN dfD

What assumptions are you making about the original distribution?

The populations follow independent normal distributions. We have random samples from each population.

The populations follow dependent normal distributions. We have random samples from each population.

The populations follow independent normal distributions.

The populations follow independent chi-square distributions. We have random samples from each population.

(c) Find or estimate the P-value of the sample test statistic.

P-value > 0.200 0.100 < P-value < 0.200 0.050 < P-value < 0.100 0.020 < P-value < 0.050 0.002 < P-value < 0.020 P-value < 0.002

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(e) Interpret your conclusion in the context of the application.

Fail to reject the null hypothesis, there is sufficient evidence that the variance in consumption of gasoline is greater in the new fuel injection systems.

Reject the null hypothesis, there is insufficient evidence that the variance in consumption of gasoline is greater in the new fuel injection systems.

Reject the null hypothesis, there is sufficient evidence that the variance in consumption of gasoline is different in both fuel injection systems.

Fail to reject the null hypothesis, there is insufficient evidence that the variance in consumption of gasoline is different in both fuel injection systems.

A new fuel injection system has been engineered for pickup trucks. The new system and the old system both produce about the same average miles per gallon. However, engineers question which system (old or new) will give better consistency in fuel consumption (miles per gallon) under a variety of driving conditions. A random sample of 41 trucks were fitted with the new fuel injection system and driven under different conditions. For these trucks, the sample variance of gasoline consumption was 53. Another random sample of 27 trucks were fitted with the old fuel injection system and driven under a variety of different conditions. For these trucks, the sample variance of gasoline consumption was 34.6. Test the claim that there is a difference in population variance of gasoline consumption for the two injection systems. Use a 5% level of significance. How could your test conclusion relate to the question regarding the consistency of fuel consumption for the two fuel injection systems?

(a) What is the level of significance?


State the null and alternate hypotheses.

H_o: σ₁² = σ₂²; H₁: σ₁² > σ₂²

H_o: σ₁² > σ₂²; H₁: σ₁² = σ₂²   

H_o: σ₂² = σ₁²; H₁: σ₂² > σ₁²

H_o: σ₁² = σ₂²; H₁: σ₁² ≠ σ₂²

(b) Find the value of the sample F statistic. (Round your answer to two decimal places.)


What are the degrees of freedom?

What assumptions are you making about the original distribution?

The populations follow dependent normal distributions. We have random samples from each population.

The populations follow independent normal distributions.    

The populations follow independent chi-square distributions. We have random samples from each population.

The populations follow independent normal distributions. We have random samples from each population.

(c) Find or estimate the P-value of the sample test statistic.

P-value > 0.200

0.100 < P-value < 0.200   

0.050 < P-value < 0.100

0.020 < P-value < 0.050

0.002 < P-value < 0.020

P-value < 0.002

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.  

   At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(e) Interpret your conclusion in the context of the application.

Fail to reject the null hypothesis, there is sufficient evidence that the variance in consumption of gasoline is greater in the new fuel injection systems.

Reject the null hypothesis, there is insufficient evidence that the variance in consumption of gasoline is greater in the new fuel injection systems.   

Reject the null hypothesis, there is sufficient evidence that the variance in consumption of gasoline is different in both fuel injection systems.

Fail to reject the null hypothesis, there is insufficient evidence that the variance in consumption of gasoline is different in both fuel injection systems.

*** It flagged the word support so job sub = job support

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $22.60 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below:

The total cost of operating the company for the year is $379,000 which includes the following costs:

Resource consumption is distributed across the activities as follows:

Job sup consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required:

1.Prepare the first-stage allocation of costs to the activity cost pools.

2. Compute the activity rates for the activity cost pools. (Round your answers to 2 decimal places.)

3. The company recently completed a 200 square foot carpet-cleaning job at the Flying N Ranch—a 52-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system.

Cost of job =

4. The revenue from the Flying Ranch was $45.20 (200 square feet @ $22.60 per hundred square feet). Calculate the customer margin earned on this job.

Customer Margin =