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Katarina [22]
3 years ago
12

A company produces very unusual CD's for which the variable cost is $ 12 per CD and the fixed costs are $ 30000. They will sell

the CD's for $ 50 each. Let be the number of CD's produced.
1) Write the total cost as a function of the number of CD's produced.


2) Write the total revenue as a function of the number of CD's produced.


3) Write the total profit as a function of the number of CD's produced.


Find the number of CD's which must be produced to break even.
The number of CD's which must be produced to break even is
Business
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

(1) $30,000 + $12x

(2) $50x

(3) $38x - $30,000

(4) 790 CD's to break even

Explanation:

Given that,

Variable cost = $12 per CD

Fixed cost = $30,000

Selling price = $50 each

Let x be the number of CD's produced,

(1) Total cost function:

C(x) = Fixed cost + Variable cost

      = $30,000 + $12x

(2) Total revenue:

R(x) = Units produced × selling price of each unit

      = $50x

(3) Total profit:

P(x) = R(x) - C(x)

      = $50x - ($30,000 + $12x)

      = $50x - $30,000 - $12x

      = $38x - $30,000

(4) Number of CD's which must be produced to break even:

Total profit = 0

$38x - $30,000 = 0

x = $30,000 ÷ $38

  = 789.47 or 790 CD's to break even.

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Suppose two cities are considering tearing down their stadiums to build new ones. In one city, the old stadium cost $5 million t
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Answer:

These are the options for the question:

A. They should be more willing to tear down the $5 million stadium, because it cost less to build.

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C. The cost to build the old stadium shouldn’t be considered.

And this is the correct answer:

A. They should be more willing to tear down the $5 million stadium, because it cost less to build.

Explanation:

City A will likely be more willing to tear down its old stadium because it costed $5 million to build. City B, on the other hand, will have to think twice because a stadium that costed $50 billion to build could have more value than it seems, or the City could simply not have enough money to build a better new stadium (something that would probably cost more than $50 billion to do).

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In the books of Blue Company:

November 1, 2017:

Debit Cash                                           $60,000

Credit Note payable                            $60,000

<em>(To record borrowed note from Yellow Bank)</em>

December 31, 2017:

Debit Interest expense                            $500

Credit Interest payable                            $500

<em>(Interest expense recognition on note for 2 months)</em>

August 1, 2018:

Debit Note payable                             $60,000

Debit Interest payable                           $2,250

Credit Cash                                          $62,250

<em>(To record settlement of note at maturity)</em>

In the books of  Yellow Bank:

November 1, 2017:

Debit Note receivable                        $60,000

Credit Cash                                         $60,000

<em>(To record note receivable from Blue Company)</em>

December 31, 2017:

Debit Interest receivable                        $500

Credit Interest revenue                           $500

<em>(Interest revenue recognition on note for 2 months)</em>

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Debit Cash                                         $62,250

Credit Note receivable                     $60,000

Credit Interest receivable                   $2,250

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