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Sauron [17]
3 years ago
12

A firms total cost function is: TC= 500 + 150q - 20q2 + q3 what is the dollar value at the minimum of the average variable cost

(avc) curve? $50?
Business
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

the  correct answer is $150

Explanation:

TC=500 + 150q - 20q^2 + q^3

AVC=(150Q-20Q^2+Q^3)/Q

       =150-20Q+Q^2

When AVC is at  its minimum means that the marginal cost( CM) is igual to AVC, so we could consider this analysis:

CM= d(TC)/dq =150-40Q+3Q^2

CM=AVC

150-40Q+3Q^2=150-20Q+Q^2

Join similar terms:

150-150-40Q+20Q+3Q^2-Q^2=0

0-20Q+2Q^2=0

Q(-20+2Q)=0

Q_1=0   y  Q_2=20/2=10

with q_1                                               with q_2

150-40*0+3*0=150-20*0+0                 150-40*10+3*10^2=150-20*10+10^2

$150=$150                                                 150-400+300    =150-200+100

                                                                                  $50= $ 50

We have two solution  if we assume that q=0  like the  minimum then the results is $150.

f we assume that q=10  like the  minimum then the results is $50.

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Suppose Ford Motor Company issues a five year bond with a face value of $5,000 that pays an annual coupon payment of $150.
blondinia [14]

Answer:

interest rate =  15%

value of the bond will decrease

Explanation:

given data

face value = $5,000

time = 5 year

annual coupon payment = $150

solution

we get here interest rate on the borrowed funds that will be as

interest rate = \frac{annual\ coupon}{face\ value/time}  × 100

put here value we get

interest rate =  \frac{150}{\frac{5000}{5} }  × 100

interest rate =  15%

and

when bond issued at interest rate =  3 %

but market interest rate 4%

so seller will reduce price of bond less than the face value

because we will look for atleast 4% payout when bond matures

so value of the bond will decrease

6 0
3 years ago
Erica and Brett decide to form their new motorcycle business as an LLC. Each will receive an equal profits (loss) interest by co
KATRIN_1 [288]

Answer:

$58,500

Explanation:

The outside basis is defined as the tax basis that a partner has on the partnership. To find it, the value of all the resources contributed by the partner is taken and the debt relief and any debt assigned is subtracted. To solve this exercise, we should follow these steps:

1. Determine the contributed capital.

According to the problem statement, Brett provided cash ($ 9,500) and a building (here the value of the adjusted base, $ 39,000, is taken). Therefore, the total contributions are $48,500.

2. Calculate capital increases.

The partnership obtained a loan for $59,000, which was shared equally among the partners. Therefore, Brett received 50%, that is, $29,500.

Now, we must add the contributed capital plus capital increases:

48,500+29,500=78,000

3. Calculate mortgage debt issues.

The nonresource mortgage is 44,000, a value that exceeds the basis of the contributed property. In that case, the surplus is taxed to the contributing partner. To determine it, simply subtract the nonresource mortgage less adjusted basis of the building:

44,000-39,000=5,000

On the other hand, the remaining mortgage on the building is calculated, by dividing the value of the adjusted base of the property, in this case, 39,000 by 2, which results in 19,500.

Therefore, mortgage debt issues are equivalent to:

5,000+19,500=24,500

We add the contributed capital plus capital increases plus mortgage debt issues:

78,000+24,500=102,500

4. Subtract debts.

The partnership assumes the nonrecourse mortgage (which is computed as a debt) for 44,000. Because this component is not covered entirely by Brett, then this amount must be deducted from his individual tax base.

Therefore:

102,500-44,000=58,500

58,500 is Brett´s outside tax basis in his LLC interest.

On a balance sheet, we can see it as follows:

Particulars                                Amount in $

Cash                                                9,500

+Adjusted basis of the                39,000

building

+50% profit sharing ratio            29,500

+Nonrecourse mortgage               5,000

less adjusted basis

+Remaining mortgage on            19,500

building

TOTAL                                             102,500

-Debt on building                          (44,000)

Outside tax basis                          58,500

7 0
3 years ago
Benjamin, Inc., operates an export/import business. The company has considerable dealings with companies in the country of Camer
timurjin [86]

Answer:

the picture attached is the main question while the solution is given in the explanation box below

Explanation:

a)

2017 = Loss = 25000 * 8 * [0.42-0.50] = 16000

2018 = Gain = 25000 * 8 * [0.50-0.43] = 14000

b)

2017 = gain = 25000 * 8 * [0.48-0.42] = 12000

c)

2017 = Loss = 25000 * 8 * [0.48 - 0.50] = 4000

2018 = Gain = 25000 * 8 * [0.50-0.43] = 14000

4 0
2 years ago
240,000 were started and completed in April. April's beginning inventory units were 60% complete with respect to materials and 4
elena-14-01-66 [18.8K]

Question Completion:

During April, the production department of a process manufacturing system completed a number of units of a product and transferred them to finished goods. Of these transferred units, 60,000 were in process in the production department at the beginning of April.

Answer:

1. The number of units transferred to the Finished Goods Inventory is 218,000.

2. Number of equivalent units with respect to materials and conversion:

Materials = 305,600

Conversion = 264,600

Explanation:

a) Data and Calculations:

                                              Materials     Conversion

Beginning inventory                  60%             40%

Units completed before          36,000           24,000

Units completed now              24,000           36,000

Equivalent units of production:

Started and completed         240,000        240,000

Ending inventory (82,000 units) 80%           30%

=                                               65,600          24,600

Total equivalent unit            305,600        264,600

The number of units transferred to finished:

Beginning inventory units         60,000

Units started and completed  240,000

Total units available                300,000

less Ending inventory units      82,000

Units transferred out              218,000

b) Using the weighted-average method, the equivalent units of production are equal to the units started and completed plus the units of ending inventory based on the degree of completion.

6 0
3 years ago
True or false? a formal alliance of organizations that come together to work for a common goal is a coalition.
Svetlanka [38]
True! Hope that helps!
5 0
3 years ago
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