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docker41 [41]
3 years ago
14

An electric power plant uses solid waste for fuel in the production of electricity. the cost Y in dollars per hour to produce el

ectricity is Y=11+0.4X+0.29X2, where X is in megawatts. Revenue in dollars per hour from the sale of electricity is 16X−0.2X2. Find the value of X that gives maximum profit. (Round to two decimal places.)
Business
1 answer:
ELEN [110]3 years ago
5 0

Answer:

The value of X that gives maximum profit is <u>15.92</u>.

Explanation:

Before answering the question, Y and Revenue (R) given in the question are first correctly restated as follows:

Cost = Y = 11 + 0.4X + 0.29X^2 .......................................... (1)

Revenue = R = 16X − 0.2X^2 .............................................. (2)

Differentiating each of equations (1) and (2) with respect to X to obtain marginal cost (MC) and marginal revenue (MR), we have:

dY/dX = MC = 0.4 + 0.58X .................................................. (4)

dR/dX = MR = 16 - 0.4X .......................................................  (5)

In production theory, profit is maximized when MR = MC. Therefore, we equate equations (4) and (5) and solve for X as follows:

0.4 + 0.58X = 16 - 0.4X

0.58X + 0.4X = 16 - 0.4

0.98X = 15.6

X = 15.6 / 0.98

X = 15.92

Therefore, the value of X that gives maximum profit is <u>15.92</u>.

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Cutter Enterprises purchased equipment for $54,000 on January 1, 2021. The equipment is expected to have a five-year life and a
ira [324]

Answer:

the depreciation expense for the year 2021 and the book value for the year 2021  is $21,600 and $32,400 respectively

Explanation:

The computation of the depreciation expense for the year 2021 and the book value for the year 2021 under double-declining method is given below:

The depreciation expense is

= $54,000 × 1 ÷ 5 × 2

= $21,600

Now the book value is

= $54,000 - $21,600

= $32,400

hence, the depreciation expense for the year 2021 and the book value for the year 2021  is $21,600 and $32,400 respectively

4 0
2 years ago
Matthias Corp. had the following foreign currency transactions during 2017:
Ronch [10]

Answer:

$7,300 loss

Explanation:

The computation of the net foreign exchange gain or loss included in the income statement is shown below:

Since the merchandise purchased value is $62,900

And, the paid amount is $53,200

So, the gain on transaction is

= $62,900 - $53,200

= $9,700

The borrowed amount is $305,000

And, the principal amount is $322,000

So, the loss is

= $305,000 - $322,000

= $17,000 loss

So in this case $7,300 loss is included which is a difference of $9,700 and $17,000

4 0
3 years ago
What does a future value measure
hjlf
Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value (FV) is important to investors and financial planners as they use it to estimate how much an investment made today will be worth in the future.

Future Value = Present Value (1 + (Interest Rate x Number of Years)) Let's say Bob invests $1,000 for five years with an interest rate of 10%. The future value would be $1,500.
3 0
2 years ago
Which type of clause enables a seller to keep a property on the market after receiving a contingent offer, and to accept an offe
USPshnik [31]

Answer:

Bump clause

Explanation:

A bum clause is a clause that is used in real state transactions that allows the sellers to get into a contract with a buyer while allowing them to maintain the property in the market and if they get another offer, they have the right to take it. This is generally used when buyers include conditions like selling their home first to allow the seller to keep looking for another opportunity.

According to this, the answer is that the type of clause that enables a seller to keep a property on the market after receiving a contingent offer, and to accept an offer from a second buyer is a bump clause.

3 0
2 years ago
Recall the educational and other requirements for Geographers. What are some requirements that would be helpful to
Leviafan [203]

Answer:

master’s degree and GISP certification

communication skills, including reading, writing, listening, and speaking

analytical and critical-thinking skills

computer skills

8 0
2 years ago
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