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astra-53 [7]
3 years ago
8

Give the formulas for and plot average fixed​ cost, AFC, marginal​ cost, MC, average variable​ cost, AVC, and average​ cost, AC,

if the cost function​ is: C=9+q^2.
Business
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

AFC = \frac{TFC}{q}

MC = \frac{d}{dq} TC

AVC = \frac{TVC}{q}

AC =  \frac{TC}{q}

Explanation:

The cost function is given as C=9+q^{2}.

The fixed cost here is 9, it will not be affected by the level of output.

The variable cost is q^{2}.

AFC = \frac{9}{q}

MC = \frac{d}{dq} TC

MC = \frac{d}{dq} C=9+q^{2}

MC = 2q

AVC = \frac{TVC}{q}

AVC = \frac{q^2}{q}

AVC = q

AC =  \frac{TC}{q}

AC =  \frac{[tex]C=9+q^{2}}{q}[/tex]

AC = \frac{9}{q} +q

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Suppose in 2010, the producer price index increases by 1.5 percent. As a result, the economists are most likely to predict that the consumer price index will increase in the future.

The producer price index is used in order to measure inflation from the perspective of costs to industry. Thus, the producer price index measures the cost of a group of goods and services which are purchased by firms.

Whereas the consumer price index refers to an average of the prices received by producers of goods and services at all the stages of the production process. Thus, when the producer price index increases by 1.5 percent, this is the indication that consumer price index will increase in the future.

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2 years ago
You have $12,500 you want to invest for the next 30 years. You are offered an investment plan that will pay you 7 percent per ye
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Answer:

Balance after 30 years = $151,018.50

Explanation:

In order to calculate this, we will calculate the future value on an amount invested, gaining interest over the years of investment, and this is given by:

FV = PV (1 + r)^{t}

where:

FV = future value

PV = present value

r = interest rate

t = time in years.

Hence the future value is calculated as follows:

1. For the first 10 years at 7% interest:

7% interest = 7/100 = 0.07

FV = 12,500 (1 + 0.07)^{10}

FV = 12,500 (1.07)^{10}\\FV = 12,500 * 1.967 = 24,589.392

2. For the last 20 years at 9.5%(0.095) interest:

Note that for the remaining 20 years, the present value (PV) used = 24,589.392, as ending balance after the first 10 years

FV = 24,589.392 (1 + 0.095)^{20}

FV = 24,589.392 (1.095)^{20}\\FV= 24,589.392 * 6.1416\\FV = 151,018.496

Total Future value earned = $151,018.50

5 0
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Your buddy in mechanical engineering has invented a money machine. The main drawback of the machine is that it is slow. It takes
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Based on the amount it would cost to build the machine and the interest rate as well as the payoff, the following are true:

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a. The machine will take a year to build which means the payoff will only start coming in next year.

First find the present value of the perpetuity:

= 70 / 5%

= $1,400

You then need to find the present value of the above in the current period:

= 1,400 / ( 1 + 5%)

= $1,333

NPV is:

= 1,333 - 1,000 cost

= $333

B. If the amount produced increases by 1%, you should use the Gordon Growth Model:

<em>= Next payoff / ( Interest - Growth)</em>

=70/ ( 5% - 1%)

= $1,750

Take this to current year:

= 1,750 / 1.05

= $1,667

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Answer:

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7 0
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suppose you pay $9,400 for a $10,000 par treasury bill maturing in 6 months. what is the annualized holding period return for th
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The annualized holding period return for this investment is 13.17%.

<h3>Define annualized total return.</h3>

The fund's annual return is calculated using the annualized total return to show the rate of return required to generate a cumulative return. A holding period is the duration of time an investor keeps an investment in their portfolio or the interval between buying and selling a security.

The geometric average of yearly returns for each year during the investment period is known as the annualized return. When comparing two investments with different time periods or examining an investment's performance over time, the annualized return can be helpful.

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