Two events are observed by inertial observer Stampy to occur a spatial distance of 15 c·s apart with the spatial coordinate of the second larger than the spatial coordinate of the first. Stampy also determines that the second event occurred 17 s after the first. According to inertial observer Philip moving along Stampy’s +x axis at unknown velocity v, the second event occurs 10 s after the first. (1 c·s = 1 light-second = unit of distance.)
a) Given Philip measures the spatial coordinate of the second event to be larger than the first, determine v.
b) How far apart spatially (in c·s) do the two events occur according to Philip?
c) Does there exist an inertial reference frame v < c in
which the second event can occur before the first? Briefly explain
in one sentence at most.
d) Inertial observer Kenny observes the proper time between the two
events. How fast along Stampy’s +x axis does Kenny move?
(Note: Each part of this question can be done independently of any other. In part a, depending on how you solve it, you might obtain two answers as solutions of a quadratic, but one of them is extraneous, because it violates the premise in part a. If you are careful, you can avoid the quadratic at the outset, but it requires you to solve part b first.)
In: Physics
|
Nesman Company, which has only one product, has provided the following data concerning its most recent month of operations: |
| Selling price | $ | 122 |
| Units in beginning inventory | 310 | |
| Units produced | 6,600 | |
| Units sold | 6,670 | |
| Units in ending inventory | 240 | |
| Variable cost per unit: | ||
| Direct materials | $ | 48 |
| Direct labor | $ | 26 |
| Variable manufacturing overhead | $ | 3 |
| Variable selling and administrative | $ | 13 |
| Fixed costs: | ||
| Fixed manufacturing overhead | $ | 151,800 |
| Fixed selling and administrative | $ | 46,690 |
|
The company produces the same number of units every month, although the sales in units vary from month to month. The company's variable costs per unit and total fixed costs have been constant from month to month. |
| Required: |
| a. |
Prepare a contribution format income statement for the month using variable costing. (Input all amounts as positive values except losses which should be indicated by a minus sign. Omit the "$" sign in your response.) |
| Variable Costing Income Statement | ||
| (Click to select) Manufacturing overhead Variable cost of goods sold Sales Variable selling and administrative expenses Contribution margin Net operating income (loss) Selling and administrative expenses | $ | |
| Variable expenses: | ||
| (Click to select) Sales Contribution margin Variable cost of goods sold Net operating income Manufacturing overhead Direct labor Variable selling and administrative expenses | $ | |
| (Click to select) Manufacturing overhead Sales Variable cost of goods sold Contribution margin Direct labor Variable selling and administrative expenses Net operating income | ||
| (Click to select) Variable selling and administrative expenses Manufacturing overhead Variable cost of goods sold Sales Net operating income (loss) Contribution margin Selling and administrative expenses | ||
| Fixed expenses: | ||
| (Click to select) Variable cost of goods sold Fixed selling and administrative expenses Contribution margin Fixed manufacturing overhead Sales Net operating income Variable selling and administrative expenses | ||
| (Click to select) Variable selling and administrative expenses Fixed manufacturing overhead Net operating income Fixed selling and administrative expenses Sales Variable cost of goods sold Contribution margin | ||
| (Click to select) Contribution margin Sales Manufacturing overhead Selling and administrative expenses Net operating income (loss) Variable cost of goods sold Variable selling and administrative expenses | $ | |
| b. |
Prepare an income statement for the month using absorption costing. (Input all amounts as positive values except losses which should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.) |
| Absorption Costing Income Statement | ||
| (Click to select) Cost of goods sold Selling and administrative expenses Net operating income (loss) Sales Gross margin | $ | |
| (Click to select) Selling and administrative expenses Net operating income (loss) Cost of goods sold Gross margin Sales | ||
| (Click to select) Net operating income (loss) Sales Gross margin Selling and administrative expenses Cost of goods sold | ||
| (Click to select) Gross margin Net operating income (loss) Cost of goods sold Selling and administrative expenses Sales | ||
| (Click to select) Gross margin Sales Net operating income (loss) Cost of goods sold Selling and administrative expenses | $ | |
In: Accounting
The James Children’s Hospital (JCH), based in Washington DC, has been operating has an operating budget of $15 million and has been operating at a budget surplus for the past two years. JCH has a $20 million endowment (JCHA) whose sole purpose is to provide capital equipment for the hospital. The endowment’s long-term expected total return is 8.6%, which includes a 3.3% income component. JCHE has no minimum payout requirement and expects no future contributions. Traditionally, the JCHE board of directors has determined the annual payout based on current needs. Payouts have been rising steadily – to $1.375 million two years ago and to $1.4 million last year.
Michelle Parker, CFO of JCHE, has asked the board’s guidance in determining a new long-term spending policy for JCHE. Remove the word knew. She has received $1.6 million in requests to buy equipment and is concerned about the inflation rate for medical equipment prices, which is 4%, versus 2.5% for the U.S. Consumer Price Index.
1 - Discuss the implications of the current pressure on JCHE to increase spending.
2 - Discuss how JCHE’s time horizon affects its risk tolerance.
3 - Determine a long-term spelling policy for JCHE, including a spending rate as a percentage of assets, and justify the policy.
In: Finance
Requirement 2:
Revise the data in your worksheet to reflect the results for the subsequent period as shown below:
|
A B C D E |
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 |
|
a. What is the activity variance for revenue? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance)).
b. What is the spending variance for the cost of ingredients? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance)).
c. What is spending variance for wages and salaries? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance)).
d. What is spending variance for total expenses? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance)).
In: Finance
The lower birthrate in China
A. will solve its population problem leading to a rapid growth in real GDP per capita as GDP will increase more than its population.
B. will result in a labor force containing more educated and healthier young workers, resulting in a rapid growth of its real GDP per capita.
C. will help China to maintain its high rates of productivity growth, due to the transition from a centrally planned economy to a market economy so China's growth rate in real GDP per capita is likely to decrease.
D. will shrink its labor force, which will include mostly less educated and less healthy older workers, resulting in a slower growth in its real GDP per capita.
China has experienced
A. slow growth in the short run but their experiment will demonstrate that the country can maintain high rates of economic growth in the long run while its citizens are denied political freedoms.
B. a high long-term growth by spending 50 percent of GDP on investment, but the government may have boosted this growth at the expense of the health of the economy in the short run.
C. high rates of growth in the short run by spending heavily on physical capital, infrastructure, and property but their lack of democracy can slow growth in the long run.
D. moderate growth in the short run by spending heavily on physical capital, infrastructure, and property but their growth potential in the long run is much higher.
In: Economics
Someone sells 2000 tickets for $1 each. Prizes are awarded of
one $100, four $50, and eight $25.
Find the expected value if you purchase 1 ticket. Your expected
value should end up negative since there are way more chances to
not win than to win one of the prizes.
Expected value is calculated by multiplying every possible outcome
by its probability and then adding those products. Let's break this
down.
a) In this case there are 2000 outcomes. How many expect to be out
their dollar and not win anything?
b) What is the probability of not winning anything?
c) How many will win $25?
d) What is the probability of winning $25?
e) If you win $25 after spending $1 for the ticket, what is your
true gain?
f) How many will win $50?
g) What is the probability of winning $50?
h) If you win $50 after spending $1 for the ticket, what is your
true gain?
i) How many will win $100?
j) What is the probability of winning $100?
k) If you win $100 after spending $1 for the ticket, what is your
true gain?
l) Finally add up all the probabilities times the gain or loss
associated with them. What is the expected value if you purchase
one ticket?
m) What can you expect to happen if you purchase 5 tickets?
In: Statistics and Probability
2. Variance Analysis
Nail_It company is a manufacturer of a custom engraved hammers. For the year 2021, the weekly budget was as follows.
The actual performance of the week was as follows.
Required:
1) Compute the following variances
a) Spending and Volume Variances of Materials
b) Spending and Volume Variances of Labour
c) Spending and Volume Variances of Fixed Overhead
d) Materials Quantity Variance
e) Materials Price Variance
f) Labour Efficiency Variance
g) Labour Rate Variance
2) Nail_It company hired an experienced engineer and asked her to re-organize the production process. How could hiring an experienced engineer and their new production process explain the variances? Please comment on individual components of variances, their relations to other variances, and overall impact on profitability.
In: Accounting
. Variance Analysis
Sourpatch company is a manufacturer of a custom engraved hammers. For the year 2021, the weekly budget was as follows.
The actual performance of the week was as follows.
Required:
1) Compute the following variances
a) Spending and Volume Variances of Materials
b) Spending and Volume Variances of Labour
c) Spending and Volume Variances of Fixed Overhead
c) Materials Quantity Variance
d) Materials Price Variance
e) Labour Efficiency Variance
f) Labour Rate Variance
2) SourPatch company hired an experienced engineer and asked her to re-organize the production process. How could hiring an experienced engineer and their new production process explain the variances? Please comment on individual components of variances, their relations to other variances, and overall impact on profitability.
In: Accounting
Akerman Techonology Corp. is preparing its SFP at 31 December 20X5. The following items are under consideration:
a. Rent received in advance for the first quarter of 20X6, $20,000.
b. Note payable, long term, $100,000. This note was issued on 1 July 20X5 and will be paid in five equal instalments. The first instalment, $20,000, will be paid 1 January 20X6. Interest will accrue at the rate of 8% per annum.
c. $400,000 bonds payable bearing interest of 8% per annum, maturing 31 December 20X9. Unamortized premium amounted to $10,000 at the end of 20X5.
d. Long term note payable, $250,000, issued on 30 June 20X2 and maturing 30 June 20X6. Interest at 8% must be paid 30 June each year.
e. Restriction for bond sinking fund, $20,000; this restriction is required by provisions of the bond agreement.
f. On 28 January 20X6, prior to finalizing the 20X5 statements, the company issued new preferred shares to a private equity fund for $1,400,000. The new shares increased the equity base of the company by almost 30%. The fund will be used to retire existing long term debt and for new production processes.
Required:
Show, with appropriate captions, how each of these items should be reported on the 31 December 20X5 SFP. If amounts are not quantifiable, describe the appropriate reporting that would be followed when numbers are available. Round amounts to the nearest $100.
In: Accounting
Question 1
The city of Charleston had the following sales of water for the selected months of 2017:
|
Month |
Sales |
|
February |
$60,000 |
|
March |
45,000 |
|
April |
60,000 |
|
May |
42,500 |
|
June |
100,000 |
|
July |
120,000 |
All sales are on credit. Historically, 60 percent is collected in the month of sale, 30 percent during the first month following the sale, and 10 percent in the second month following the sale.
Water purchases by month are as follows:
|
Month |
|
|
February |
$60,000 |
|
March |
40,000 |
|
April |
45,000 |
|
May |
59,750 |
|
June |
52,500 |
|
July |
90,000 |
Water is purchased in the month of sale. All purchases are paid during the month following the purchase.
Operating costs are $18,000 and everything is paid in cash except for depreciation, which totals $8,000 a month.
The city plans on purchasing some new equipment in May for $25,000 in exchange for a note payable.
The April 1 cash balance is expected to be $5,000.
The city must maintain a minimum cash balance of $10,500, and money can be borrowed from a local bank in increments of $1,000. The city borrows money at the beginning on the first day of the month and repays loans and interest on the last day of the month. The bank charges the city an annual interest rate of 15%.
Required:
Prepare a cash budget for April, May, June and in for the quarter, and based on your answer complete the following table:
Round to the nearest dollar and DO NOT enter decimals, or commas and if a zero needs to be entered, enter "0".
In: Accounting