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romanna [79]
3 years ago
14

A firm has a fixed cost of $500 in its first year of operation. When the firm produces 100 units of output, its total costs are

$3,500. When it produces 101 units of output, its total costs are $3,750. What is the marginal cost of producing the 101st unit of output? a. $250 b. $275 c. $340.91 d. $350
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

option (a) $250

Step-by-step explanation:

Data provided in the question:

Fixed cost = $500

For 100 units produced Total cost = $3,500

For 101 units produced, Total cost = $3,750

Now,

Marginal cost is calculated as:

Marginal cost = \frac{\textup{Total change in cost of producing more goods}}{\textup{Total change in produced goods}}

thus,

Marginal cost = \frac{\textup{Total cost of 101 units - Total cost of 100 units}}{\textup{101-100}}

or

Marginal cost = \frac{\textup{3,750-3,500}}{\textup{1}}

or

Marginal cost = $250

Hence,

The correct answer is option (a) $250

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3 years ago
Joe is 20 years old. His sister is half his age less 7. How old is his sister?
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The answer is 3. 20/2=10 10-7=3
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3 years ago
A lender requires PMI that is 0.8% of the loan amount of $470,000. How much (in dollars) will this add to the borrower's monthly
Ainat [17]

The amount add to the borrower's monthly payment is $313.33.

Given that lender requires PMI that is 0.8% of the loan amount of $470,000.

A loan's PMI, or personal mortgage insurance, is a type of mortgage insurance used by lenders when making traditional loans such as home loans. A PMI helps cover the loss to the lender (bank) if the borrower stops making monthly mortgage payments on their home loan. Therefore, the PMI can be described as a kind of risk mitigation tool for the bank when the borrower defaults on their EMIs (monthly mortgage payments). So, PMI for a borrower is an additional cost or payment for the borrower on top of his monthly payments i.e. EMI.

Thus, the additional amount of dollars that the borrower has to pay for the PMI on his loan along with his monthly mortgage payments

= Principal Loan amount × (PMI/12)

= $470,000 × (0.8%/12)

= $470,000 × (0.008/12)

= $470,000 × 0.0006666667

=$313.333349

Hence, the additional monthly payment for PMI where lender requires PMI that is 0.8% of the loan amount of $470,000 is $313.33.

Learn more about mortgage payment from here brainly.com/question/10400598

#SPJ1

8 0
2 years ago
Mary has 12 video games. She purchases five new video games each month as part of a video game club.
Oxana [17]

Answer:

The answer to your question is:  V = 12 + 5n

Step-by-step explanation:

Data

Video games right now = 12

She purchases 5 video games each month

Equation = ?

# of video games in n month = V

Process

           - Consider the initial amount of video games

                                   V = 12

           - Now, consider the number of video games the buys each month and the months

                                 5n

           - Finally, join both terms

                                  V = 12 + 5n

8 0
3 years ago
Somebody please help im giving 20 points and a brainliest !
rosijanka [135]

Answer:

Initial is $26000

It's representing decay.

9.1% change each year.

7 0
3 years ago
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