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Andreas93 [3]
2 years ago
10

NVidia, the pioneering computer graphics chip maker has a line of production of a semiconductor component of one of its chips. T

he production process represents number of units produced per day (Q) as a function of labor (L), which costs $400 per unit, and capital (K), which costs $800 per unit. The following production function describes the process:
Q= 3L^2K

Required:
If cost were limited to $16,800, the equilibrium combination of K and L is:_______
Business
1 answer:
fgiga [73]2 years ago
3 0

Answer:

The equilibrium combination of K and L is <u>7, 28</u>. That is, 7 K’s and 28 L’s.

Explanation:

This can be determined as follows:

Q = 3L^2K

s.t.

400L + 800K -16800

Using a Langrangian multiplier function G with ∅ as the multiplier, we have:

G = 3L^2K – ∅(400L + 800K -16800) ……………… (1)

Partially differentiate G with respect to L, K and ∅, we have:

∂G / ∂L = 6LK – ∅400 = 0 …………….. (2)

∂G / ∂K = 3L^2 – ∅800 = 0 ……………. (3)

∂G / ∂∅ = 400L + 800K – 16800 = 0 …………… (4)

From equation (2), we have:

6LK = ∅400

∅ = 6LK / 400

∅ = 0.015LK …………………….. (5)

From equation (3), we have:

3L^2 = ∅800

∅ = 3L^2 / 800

∅ = 0.00375L^2 …………… (6)

Equating (5) and (6) and solve for L, we have:

0.00375L^2 = 0.015LK

L^2 / L = 0.015K / 0.00375

L = 4K ……….. (7)

Substituting L = 4K into equation (4) and solve K, we have:

400(4K) + 800K – 16800 = 0

1600K + 800K = 16800

2400K = 16800

K = 16800 / 2400

K = 7

Substitute K = 7 into equation (7), we have:

L = 4 * 7

L = 28

Therefore, the equilibrium combination of K and L is <u>7, 28</u>. That is, 7 K’s and 28 L’s.

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Reil [10]

A budget is a plan you make to decide how you spend your money.

To make a budget you must decide how much of your money you want to spend and how much of it you want to set aside. To balance a budget, keep track of all your expenses, payments, and income.

5 0
2 years ago
homas is planning to start his own business in 10 years, at which time he will buy all the equipment and land needed. Currently
aalyn [17]

Answer:

FV $4,594,590

Explanation:

The annuity which produce funds will start on the seventh year thereofre there will be 4 annual deposits at the beginning of each year.

We solve for the future value of an annuity-due of 4 year at 10% interest rate:

C \times \frac{(1+r)^{time} -1}{rate}(1+r) = FV\\

C 900,000.00

time 4

rate 0.1

900000 \times \frac{(1+0.1)^{4} -1}{0.1}(1+0.1) = FV\\

FV $4,594,590

This is the amount accumualted at the end of the tenth year

6 0
3 years ago
As the economy declines into recession, the collection of personal income tax revenues automatically falls. this phenomenon best
abruzzese [7]

This phenomenon best illustrates how a progressive income-tax system serves as an automatic stabilizer for the economy.

<h3>What is an automatic stabilizer?</h3>

Automatic stabilizers are stabilizers that adjust the economy automatically without the intervention of external agents . Examples include progressive tax and transfer payments. A progressive tax is a tax structure where those who earn higher income are taxed more and those that earn less pay less amount of tax.

In an expansion, progressive tax increases the tax paid and this reduces disposable income. In a recession, tax paid is reduced and this increases disposable income

Here are the options:

increases crowding out in the economy

decreases real interest rates in the economy

offsets the timing problem for fiscal policy

Serves as an automatic stabiler for the economy

To learn more about taxes, please check: brainly.com/question/25311567

#SPJ1

8 0
2 years ago
HaAaAiii frRiIieEenNds wWaAanNnAaaA cCcCcHhHaAaAtTtT pweeeaaase
Yakvenalex [24]

Answer:

yeah sure what do you want to ch.At about

Explanation:

because i don't really care what we talk abt

5 0
3 years ago
The stockholders’ equity accounts of Martinez Company have the following balances on December 31, 2017. Common stock, $10 par, 3
lord [1]

Answer:

retained earnings     577,200 debit

   stock dividends payable            577,200 credit

--to record declared stock dividends--

stock dividends payable   577,200 debit

               common stock                156,000 credit

               additional paid-in            421,600 credit

--issued stock dividends--

retained earnings    11,544,000 debit

   stock dividends payable     11,544,000 credit

--to record declared stock dividends--

stock dividends payable   11,544,000 debit

              common stock                      3,120,000 credit

              additional paid-in                 8,424,000 credit

--issued stock dividends--

A 2-for-1 stock split NO ENTRY

Explanation:

<u>Stock dividends of 5%</u>

Shares outstanding 312,000 x 5% x $37 market price

15,600 new shares x $ 37 per share = $ 577,200

First we declare the dividend payable, then we write-off the payable and increase equity.

Common stock for the face value and additional paid-in for the difference:

15,600 x 10 = 156,000

577,200 - 156,000 = 421,600

<u>Stock Dividends of 100%</u>

312,000 x 100% x 37 = 11,544,000

same entries as before but, with difference number

face value 312,000 x 10 = 3,120,000

additional paid-in 8,424,000

<u>A 2-for-1 stock split</u>

No entry is required as the company will have double shares but with halft the value each. It will not effect the total market capitalization.

6 0
3 years ago
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