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Eduardwww [97]
3 years ago
10

A chemical manufacturer is setting up capacity in Europe and North America for the next three years. Annual demand in each marke

t is 2 million kilograms (kg) and is likely to stay at that level. The two choices under consideration are building 4 million units of capacity in North America or building 2 million units of capacity in each of the two loca-tions. Building two plants will incur an additional one-time cost of $2 million. The variable cost of production in North America (for either a large or a small plant) is currently $10/kg, whereas the cost in Europe is 9 euro/kg. The cur-rent exchange rate is 1 euro for U.S. $1.33. Over each of the next three years, the dollar is expected to strengthen by 10 percent, with a probability of 0.5, or weaken by 5 per-cent, with a probability of 0.5. Assume a discount factor of 10 percent. What should the chemical manufacturer do? At what initial cost differential from building the two plants will the chemical manufacturer be indifferent between the two options?
Business
1 answer:
Yuri [45]3 years ago
5 0

Answer:

Explanation:

The two choices under consideration are building 4 million units of capacity in North America

YEAR                         1                    2                           3  

Production and Sales 4,000,000.00   4,000,000.00   4,000,000.00  

Variable cost @ 10  40,000,000.00   40,000,000.00   40,000,000.00  

Divide by:

Conversion Factor  1.33                         1.33                     1.33  

Multiply by:

Growth(.1*.5)+(-.05*.5) 1.025                        1.025^2                  1.025^3  

NET CASHFLOWS  30,827,068.00   31,597,744.00   32,387,688.00  

DCF @ 10%     0.909090909           0.83                  0.75  

Present Values  28,024,607.27   26,113,838.02   24,333,349.36  

NET TOTAL COST 78,471,794.65  

or building 2 million units of capacity in each of the two loca-tions. Building two plants will incur an additional one-time cost of $2 million.

YEAR                  0            1                      2                              3  

Production and Sales       4,000,000.00      4,000,000.00   4,000,000.00  

Variable cost @ [(10+9)/2] 38,000,000.00  38,000,000.00   38,000,000.00  

Additional cost  2,000,000.00      

Conversion Factor     1.33     1.33                   1.33                       1.33  

Growth(.1*.5)+(-.05*.5)    1.025               1.025^2              1.025^3  

CASHFLOWS  1,503,759.40  29,285,714.29  30,017,857.00  30,768,304.00  

DCF @ 10%       1           0.909090909    0.826446281 0.751314801  

Present Value 1,503,759.40  26,623,376.62   24,808,146.28   23,116,682.19  

NET TOTAL COST = 76,051,964.50  

DECISION: The manufacturer should build 2 plants in 2 different locations because it gives a lower net present cost

<u>At what initial cost differential from building the two plants will the chemical manufacturer be indifferent between the two options?</u>

The difference in both options came from the fact that variable cost is lower in Europe and building the plant is more expensive. If there is no increase in cost and variable cost is same everywhere, then both options will be same.

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Debit Accounts receivables                      $944,000

Credit Sales revenue                                 $944,000

<em>(To recognize the sales on account)</em>

Debit Cash                                                  $901,000

Credit Accounts receivable                       $901,000

<em>(To recognize sales collection)</em>

Debit Allowance for doubtful account         $6,300

Credit Accounts receivable                          $6,300

<em>(To recognize the write-off of accounts receivable)</em>

Debit Cash                                                                                     $2,200

Credit Bad debt recovery (income statement/other income)    $2,200

<em>(Collection of accounts receivable previously written off)</em>

Step 2: Movement schedules of accounts receivable and allowance for doubtful accounts

Accounts receivable

Balance, beginning of the period               $145,000

Addition: Net credit sales                             944,000

Less: Collections                                           901,000

         Write-off                                                   6,300

Balance, end of the period                          $181,700

Allowance for doubtful accounts

Balance, beginning of the period                 $11,480

Less: Write-off                                                   6,300

Balance, end of the period (unadjusted)       $5,180

Step 3: Journals for bad debt expense

Debit Bad debt expense [(9% * $181,700) - $5,180]               $11,173

Credit Allowance for doubtful account                                   $11,173

<em>(To record bad debt expense for the period)</em>

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