A consumer allocates all of her income between two goods, food and clothing, with the quantity of food consumed captured by the variable F while that of clothing by the variable C. The consumer has usual strictly convex preferences between the two goods. Assume that food is an inferior good and it is kept on the horizontal axis.
Suppose that the consumer’s income remains unchanged but prices of both of these goods change.
• Scenario A: Assume that both prices fall with price of food falling by a higher percentage relative to clothing.
(a) State the impact of the price changes you are required to examine on the relative price of food.
(b) Determine whether clothing should be treated as a normal or inferior good and explain your answer.
(c) Now proceed with doing a geometric analysis to portray one case that is logically consistent with the price change scenario you need to examine as specified in (a). In doing so, illustrate and explain how the consumer’s optimal bundle might change in response to the cumulative impact of these price changes.
(d) Comment on whether the direction of total change in optimal quantities of food and clothing that you have shown in your diagram for part (c) are the only logically consistent possibilities. Or, is it also possible that changes could also be in the opposite direction? Explain your answer. You do not need to do additional diagrammatic analysis to answer this part.
In: Economics
Devon Manufacturing is preparing its master budget for the first quarter of the upcoming year. The below data table and more data pertain to Devon Manufacturing's operations:
REQUIREMENTS
1. Prepare a schedule of cash collections for January, February, and March, and for the quarter in total.
2. Prepare a production budget. (Hint: Unit sales = Sales in dollars / Selling price per unit.)
3. Prepare a direct materials budget.
4. Prepare a cash payments budget for the direct material purchases from Requirement 3.
5. Prepare a cash payments budget for direct labor.
6. Prepare a cash payments budget for manufacturing overhead costs.
7. Prepare a cash payments budget for operating expenses.
8. Prepare a combined cash budget.
9. Calculate the budgeted manufacturing cost per unit (assume that fixed manufacturing overhead is budgeted to be per $0.80 unit for the year).
10. Prepare a budgeted income statement for the quarter ending March 31.
11. Prepare a partial balance sheet for march 31. Follow the same format as the original balance sheet provided for Dec 31, adding loans payable and income tax payable
DATA TABLE
Current Assets as of December 31 (prior year):
Cash . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 4,640
Accounts receivable, net . . . . . . . . . . $ 57,600
Inventory . . . . . . . . . . . . . . . . . . . . . . . $ 15,600
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Property, plant, and equipment, net . .. . $ 121,500
Accounts payable . . . . . . . . . . . . . . .. $ 42,800
Capital stock . . . . .. . . . . . . . . . . . . . . $ 124,500
Retained earnings .. . . . . . . . . . . . . . .. $ 22,800
MORE DATA
a. Actual sales in December were $72,000. Selling price per unit is projected to remain stable at $12 per unit throughout the budget period. Sales for the first five months of the upcoming year are budgeted to be as follows:
January . . . . . . . . $ 104,000
February . . . . . . . $ 108,000
March . . . . . . . . . $ 112,800
April . . . . . . . . . . $ 109,200
May . . . . . . . . . . $ 105,600
b. Sales are 20% cash and 80% credit. All credit sales are collected in the month following the sale.
c. Devon Manufacturing has a policy that states that each month's ending inventory of finished goods should be 10% of the following month's sales (in units).
d. Of each month's direct material purchases, 20% are paid for in the month of purchase, while the remainder is paid for in the month following purchase. Three pounds of direct material is needed per unit at $2 per pound. Ending inventory of direct materials should be 30% of next month's production needs.
e. Monthly manufacturing overhead costs are $4,500 for factory rent, $2,800 for other fixed manufacturing expenses, and $1.10 per unit for variable manufacturing overhead. No depreciation is included in these figures. All expenses are paid in the month in which they are incurred.
f. Computer equipment for the administrative offices will be purchased in the upcoming quarter. In January, Devon Manufacturing will purchase equipment for $6,000(cash), while February's cash expenditure will be $12,800 and March's cash expenditure will be $15,600.
g. Operating expenses are budgeted to be $1.30 per unit sold plus fixed operating expenses of $1,800 per month. All operating expenses are paid in the month in which they are incurred.
h. Depreciation on the building and equipment for the general and administrative offices is budgeted to be $4,600 for the entire quarter, which includes depreciation on new acquisitions.
i. Devon Manufacturing has a policy that the ending cash balance in each month must be at least $4,200. It has a line of credit with a local bank. The company can borrow in increments of $1,000 at the beginning of each month, up to a total outstanding loan balance of$130,000 . The interest rate on these loans is 2% per month simple interest (not compounded). The company would pay down on the line of credit balance if it has excess funds at the end of the quarter. The company would also pay the accumulated interest at the end of the quarter on the funds borrowed during the quarter.
j. The company's income tax rate is projected to be 30% of operating income less interest expense. The company pays $10,800 cash at the end of February in estimated taxes.
In: Accounting
explain how the various categories of federal government spending (such as spending on entitlements, or infrastructure or basic research) qualify as either consumption or investment spending. explain how the various categories of federal government spending (such as spending on entitlements, or infrastructure or basic research) qualify as either consumption or investment spending.
In: Economics
You are hired by a Danish distributor of consumer goods, Dicgø, to improve their forecasting capabilities. You are tasked with coming up with quarterly forecasts for an item that appears to have level, seasonality, and trend. While the company does have an existing Holt-Winter forecasting model, no one knows what the parameters (Alpha, Beta, or Gamma) are.
You do have some information. For example, you know that historically, the demand in each quarter follows this distribution:
- Q1 (January through March) = 60% of average quarterly demand
- Q2 (April through June) = 80% of average quarterly demand
- Q3 (July through September) = 140% of average quarterly demand
- Q4 (October through December) = 120% of average quarterly demand.
You just ran the forecast at the end of September (end of 2014Q3) and you have the following estimates:
For level: a^2014Q3 = 1050 units
For trend: b^2014Q3= 41.9 units per quarter
Q1) What is your forecast for demand for 2014Q4? In other words, what is x^2014Q3,2014Q4?
Q2) Suppose the actual demand in 2014Q4 is 1050 units. What is the lowest possible value for your estimate for level, a^2014Q4?
Q3) The model was run at the end of 2014Q4. It provided you with the most recent estimates of each pattern. The estimate for level, a^2014Q4 was 1067.8. What is the value of alpha?
Q4) The model was run at the end of 2014Q4. The estimate for trend, b^2014Q4 was found to be 39.6. What is value of beta?
Q5) The model was run at the end of 2014Q4. The estimate for seasonality, F^2014Q4 was found to be 1.189, before any normalization was done. What is the value of gamma?
In: Accounting
Beech’s managers have made the following additional assumptions and estimates: |
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| 1. |
Estimated sales for July, August, September, and October will be $290,000, $310,000, $300,000, and $320,000, respectively. |
| 2. |
All sales are on credit and all credit sales are collected. Each month’s credit sales are collected 45% in the month of sale and 55% in the month following the sale. All of the accounts receivable at June 30 will be collected in July. |
| 3. |
Each month’s ending inventory must equal 20% of the cost of next month’s sales. The cost of goods sold is 70% of sales. The company pays for 30% of its merchandise purchases in the month of the purchase and the remaining 70% in the month following the purchase. All of the accounts payable at June 30 will be paid in July. |
| 4. |
Monthly selling and administrative expenses are always $54,000. Each month $5,000 of this total amount is depreciation expense and the remaining $49,000 relates to expenses that are paid in the month they are incurred. |
| 5. |
The company does not plan to borrow money or pay or declare dividends during the quarter ended September 30. The company does not plan to issue any common stock or repurchase its own stock during the quarter ended September 30. |
| Required: |
| 1. |
Prepare a schedule of expected cash collections for July, August, and September. Also compute total cash collections for the quarter ended September 30. |
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| 2-a. |
Prepare a merchandise purchases budget for July, August, and September. Also compute total merchandise purchases for the quarter ended September 30. |
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| 2-b. |
Prepare a schedule of expected cash disbursements for merchandise purchases for July, August, and September. Also compute total cash disbursements for merchandise purchases for the quarter ended September 30. |
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| 3. |
Prepare an income statement for the quarter ended September 30 using an absorption income statement format. |
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| 4. |
Prepare a balance sheet as of September 30. |
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AND CAN YALL PUT EACH PROCESS ON HOW YOU FIND THE ANSWER? PLEASE IT WILL HELP ME A LOT TO UNDERSTAND THE PROCESS.
In: Accounting
The data in the accompanying table is from a paper. Suppose that the data resulted from classifying each person in a random sample of 45 male students and each person in a random sample of 92 female students at a particular college according to their response to a question about whether they usually eat three meals a day or rarely eat three meals a day.
|
Usually Eat 3 Meals a Day |
Rarely Eat 3 Meals a Day |
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|---|---|---|
| Male | 25 | 20 |
| Female | 38 | 54 |
(a)
Is there evidence that the proportions falling into each of the two response categories are not the same for males and females? Use the
X2
statistic to test the relevant hypotheses with a significance level of 0.05.
State the null and alternative hypotheses.
H0: The proportions falling into the two
response categories are not the same for males and females.
Ha: The proportions falling into the
two response categories are the same for males and
females.H0: The proportions falling into the
two response categories are the same for males and females.
Ha: The proportions falling into the
two response categories are not the same for males and
females. H0: The
proportions falling into the two response categories are 0.5 for
both males and females.
Ha: The proportions falling into the
two response categories are not 0.5 for both males and
females.H0: The proportions falling into the
two response categories are not 0.5 for both males and
females.
Ha: The proportions falling into the
two response categories are 0.5 for both males and females.
Calculate the test statistic. (Round your answer to two decimal places.)
χ2 =
What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.)
P-value =
What can you conclude?
Reject H0. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females.Reject H0. There is not convincing evidence that the proportions falling into the two response categories are not the same for males and females. Do not reject H0. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females.Do not reject H0. There is not convincing evidence that the proportions falling into the two response categories are not the same for males and females.
(b)
Are your calculations and conclusions from part (a) consistent with the accompanying Minitab output?
| Expected counts are printed below observed counts | |||
| Chi-Square contributions are printed below expected counts | |||
| Usually | Rarely | Total | |
|---|---|---|---|
| Male | 25 | 20 | 45 |
| 20.69 | 24.31 | ||
| 0.896 | 0.763 | ||
| Female | 38 | 54 | 92 |
| 42.31 | 49.69 | ||
| 0.438 | 0.373 | ||
| Total | 63 | 74 | 137 |
| Chi-Sq = 2.471, DF = 1, P-Value = 0.116 | |||
YesNo
(c)
Because the response variable in this exercise has only two categories (usually and rarely), we could have also answered the question posed in part (a) by carrying out a two-sample z test of
H0: p1 − p2 = 0
versus
Ha: p1 − p2 ≠ 0,
where
p1
is the proportion who usually eat three meals a day for males and
p2
is the proportion who usually eat three meals a day for females. Minitab output from the two-sample z test is shown below. Using a significance level of 0.05, does the two-sample z test lead to the same conclusion as in part (a)?
| Sample | X | N | Sample p |
|---|---|---|---|
| Male | 25 | 45 | 0.555556 |
| Female | 38 | 92 | 0.413043 |
| Difference = p(1) − p(2) | |||
| Test for difference = 0 (vs not = 0): Z = 1.57 | |||
| P-Value = 0.116 | |||
(d)
How do the P-values from the tests in parts (a) and (c) compare? Does this surprise you? Explain?
The two P-values are equal when rounded to three decimal places. It is not surprising that the P-values are at least similar, since both measure the probability of getting sample proportions at least as far from the expected proportions as what was observed, given that the proportions who usually eat three meals per day are the same for the two populations.The two P-values are very different. It is quite surprising that the P-values are this different, since both measure the probability of getting sample proportions at least as far from the expected proportions as what was observed, given that the proportions who usually eat three meals per day are the same for the two populations. The two P-values are not equal when rounded to three decimal places. It is not surprising that the P-values are different, since the P-value from the chi-squared test is measuring the probability of getting sample proportions at least as far from the expected proportions as what was observed, given that the proportions who usually eat three meals per day are the same for the two populations and the z-test is measuring the probability of getting sample proportions closer to the expected proportions than what was observed, given that the proportions who usually eat three meals per day are the same for the two populations.The two P-values are equal when rounded to three decimal places. It is surprising that the P-values are at least similar, since the P-value from the chi-squared test is measuring the probability of getting sample proportions at least as far from the expected proportions as what was observed, given that the proportions who usually eat three meals per day are the same for the two populations and the z-test is measuring the probability of getting sample proportions closer to the expected proportions than what was observed, given that the proportions who usually eat three meals per day are the same for the two populations.
In: Statistics and Probability
1.
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What is a flexible spending account? A flexible spending account is an account established by the employer for an employee: (Select the best answer below.) |
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a. to use after-tax income to pay for medical expenses. |
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b. to defer paying taxes on income. |
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c. to use pre-tax income to pay for medical expenses. |
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2.
The purpose of long-term care insurance is to cover expenses associated with long-term health illnesses: (Select the best answer below.)
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a. for persons on Medicaid. |
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b. for persons on Medicare. |
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d. that cause individuals to need help with everyday tasks. |
3.
What is a health savings account, or HSA? Why is this account often preferable to a flexible spending account?
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a. An HSA has higher contribution limits than a flexible spending account and you can carry over any remaining funds into succeeding years. In contrast, flexible spending accounts must be depleted each year. |
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b. An HSA has lower contribution limits than a flexible spending account, but you can carry over any remaining funds into succeeding years. In contrast, flexible spending accounts must be depleted each year. |
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c. A flexible spending account has higher contribution limits than an HSA and you can carry over any remaining funds into succeeding years. In contrast, health savings accounts must be depleted each year. |
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d. An HSA has higher contribution limits than a flexible spending account, but it must be depleted each year. In contrast, with flexible spending accounts you can carry over any remaining funds into succeeding years. |
4.
What is a high-deductible health plan? How is this type of plan related to an HSA?
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a. In order for a person to be eligible for an HSA they must have a high-deductible health plan. |
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b. Both an HSA and a high-deductible health plan have high deductibles. |
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c. In order for a person to be eligible for a high-deductible health plan they must have an HSA. |
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d. An HSA is the same thing as a high-deductible health plan. |
In: Finance
entitlement spending in the US is a fiscal nightmare. Entitlement spending includes programs such as Social Security, Medicare and Medicaid.
(a) What are three economic explanations for the apparent lack of sustainability of these entitlement programs given current policies?
(b) In some ways these programs are similar. Yet - future solvency is a much larger issue for Medicare and Medicaid than for Social Security. Explain this discrepancy
In: Economics
In: Economics
1 How does the spending by government and the taxes used to finance that spending affect the overall economy?
2 Explain how low interest rates impact banks compared to consumers
In: Economics