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GaryK [48]
1 year ago
10

Assume that a six-firm cartel supplies 500 million units of Whatailsya energy drink at a price of $5.00 per unit. Each firm supp

lies an equal share of the cartel's output. One firm decides to cheat and supplies 50 million extra units, causing the price of Whatailsya to decrease to $4.50 per unit. Assuming that the loss due to the fall in price is evenly spread across all firms in the cartel, what is the net gain for the cheating firm, in millions of dollars? Round your answer to the nearest million.
Business
1 answer:
bazaltina [42]1 year ago
6 0

Answer:

<u>The net gain for the firm cheating the cartel is US$ 183 million (rounding the answer to the nearest million).</u>

Explanation:

1. Let's review all the information provided for solving this case:

Number of firms that supply  Whatailsya energy drink = 6

Amount of production of the cartel of six firms = 500 million units

Price of the energy drink = US$ 5

Amount of production of the firm that decided to break the cartel = 50 million extra units

Price after the extra production is sold = US$ 4.50

2. Let's find the individual production of each firm before and after the 50 million extra units and the net gains for the cheating firm.

Individual production of each firm of the cartel = Amount of production of the cartel/Number of firms

Individual production of each firm of the cartel = 500 million units/6

Individual production of each firm of the cartel = 83.33 million units

Individual sales of each firm before the 50 million extra units = Individual production * Price of the energy drink

Individual sales of each firm before the 50 million extra units = 83.333 million * 5

Individual sales revenue of each firm before the 50 million extra units = US$ 416.666 million

New production amount of the firm cheating the cartel = 83.333 + 50

New production amount of the firm cheating the cartel = 133.333 million units

Price of the energy drink after the extra production is sold = US$ 4.50

New sales revenue of the firm cheating the cartel = New production amount * Price of the energy drink after the extra production is sold

New sales revenue of the firm cheating the cartel = 133.333 million * 4.50

New sales revenue of the firm cheating the cartel = US$ 600 million

Net gain of the firm cheating the cartel = New sales revenue of the firm cheating the cartel - Individual sales of each firm before the 50 million extra units

Net gain of the firm cheating the cartel = 600 million - 416.666 million

Net gain of the firm cheating the cartel = 183.333 million

<u>Net gain of the firm cheating the cartel = US$ 183 million (rounding the answer to the nearest million)</u>

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After spending months finalizing a marketing plan, the lead marketing manager presents it to the entire company. It soon becomes
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This means that the marketing manager did not respect the parameters originally indicated. His numbers did not align with the necessities of the plan, which means that he did not take into consideration some important factors that at the end, affected the end result of the budget.

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Assume that demand for bottled water is relatively price elastic. An increase in supply of bottled water will result in which of
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An owner of a large ranch is considering the purchase of a tractor with a front-end loader to clean his corrals instead of hirin
asambeis [7]

Answer:

1) none of the above  $3828.57 ( E )

2) $1143 ( c )

3)  $24571 ( A )

4)  $17142.86 ( E )

5) 12% ( B )

6) $410 ( B )

7) $2744.95 ( f )

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9) $24282.36 ( F )

10) 867

Explanation:

1)  The annual after-tax net returns

net income = cash flow - depreciation

                 = $10500 - \frac{cost of equipment}{estimated life}  =   10500 - (40000/7) = $4785.71

calculate the annual net after tax returns = net income * (1 - Tax rate ) = 4785 * (0.80) = $3828.57

2) Tax savings from depreciation

Tax savings from depreciation = Depreciation amount * Tax rate

                                                   = (\frac{equipment cost}{estimated life} ) * Tax rate

                                                  = (40000/7) * 0.2 = $1142.86 ≈ $1143

3) After tax terminal value in three years

Sale value = $25000,

Book value = 40000 - ( 5714.29 * 3 ) = $22857.13

Gain on sale = sale value - book value = $2142.87

tax rate = gain on sale * tax rate = 2142.87 * 0.2 = $428.57

Terminal value = sales value - tax rate = 25000 - 428.57 ≈ $24571

4) Accumulated depreciation over the three years

= depreciation amount * 3 years

=5714.29 * 3 = $17142.86

5) After tax discount rate

= discount rate * (1 - tax rate )

= 15% * 0.80 = 12%

6) Present value of the after-tax net returns

SOLUTION attached below

7) Present value tax savings from depreciation

= Tax savings from depreciation / ( 1+r)^n  note ; n = 3

= $1142.86 / ( 1 + 0.12 )^3 = $2744.95

8) present value of the after-tax terminal value

Pv of terminal value = Terminal value / ( 1 + r ) ^n

                                = $24571.43 / ( 1 + 0.12 ) ^3 = $17,489

9) Net present value

= net cash flows / ( 1 + r ) ^n

= 34114.29 / ( 1 + 0.12) ^3

= $34114.29 /  1.4049 = $24282.36

AT

7 0
1 year ago
A company has the opportunity to take over a redevelopment project in an industrial area of a city. No immediate investment is r
Ganezh [65]

Answer:

1-a. The are multiple IRRs stated as follows:

The first IRR value = 4.09%

Second IRR value = 31.82%

1-b. Rate of return = 7.58%

2. This is NOT a good investment because the NPV is negative.

Explanation:

Note: The estimated Net Cash Flow for the 4th year in the data is erroneously stated in the question as a positive value instead as a negative value since it is a cost.

The estimated net cash flows correctly before answering the question as follows:

Year End             Net Cash Flow

1                             $500,000

2                            $300,000

3                            $100,000

4                          –$2,400,000

5                            $150,000

6                            $200,000

7                            $250,000

8                            $300,000

9                            $350,000

10                           $400,000

The explanation of the answers is now given as follows:

1-a. Tabulate the PW versus the interest rate and determine whether multiple IRRs exist.

Note: See Part 1-a of the attached excel file for the tabulation of the PW versus the interest rate.

From Part 1-a of the attached excel file, it can be observed that multiple IRRs exist. This is because there two IRRs stated as follows:

The first IRR value = 4.09%

Second IRR value = 31.82%

1-b. If so, use the ERR method when e 8% per year to determine a rate of return.

Note: See Part 1-a of the attached excel file for the calculation of total future value of income when e = 8% per year.

In the attached excel file, note that year 4 has a cost not income. Therefore,

From attached excel, we have:

Total Future Value of Income = $3,661,508.81

In the attached excel file, note that year 4 has a cost (not income) of $2,400,000. Therefore, it future value is not calculated. However, the present of the cost can be calculated as follows:

Present value of cost in year 4 = $2,400,000 / (100% + e)^4 = $2,400,000 / (100% + 8%)^4 = $1,764,071.65

The rate of return can now be calculated as follows:

Rate of return = ((Total Future Value of Income / Present value of cost in year 4)^(1/Number of period)) - 1 = (($3,661,508.81 / $1,764,071.65)^(1/10)) - 1 = 0.0758, or 7.58%

2. Use the PW method and a MARR of 18% to determine whether this is a good investment.

Note: See Part 2 of the attached excel file for the calculation of net present value (NPV).

From part 2 of the attached excel file, we have:

Net present value = –$21,043.15

Since the net present value is negative, this implies that this is NOT a good investment.

Download xlsx
5 0
1 year ago
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