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Greeley [361]
2 years ago
3

After t hours of operation, an assembly line has assembled A(t)=19t-1/2t^2 power lawn mowers, 0 = < t = < 10 . Suppose tha

t the factory's cost of manufacturing x units is C(x) dollars, where C(x) dollars=2657+70x.
a. Express the factory's cost as a composite function of the number of hours of operation of the assembly line.
b. The cost of the first 2 hours of operation is $___.
Business
1 answer:
sergij07 [2.7K]2 years ago
8 0

Answer:

a.   C(A(t)) = 2657 + 1330t - 35t^2

b.    the cost of the first 2 hours of operation is $5177

Explanation:

From the given information:

a.  The factory's cost as a function of the number of hours of operation of the assembly line can be expressed as:

C(A(t)) = C ( 19t - \dfrac{1}{2}t^2)

C(A(t)) = 2657 + 70 ( 19t - \dfrac{1}{2}t^2)

C(A(t)) = 2657 + 1330t - 35t^2

b.   Replacing t = 2 in the above equation, we have:

C(A(t)) = 2657 + 1330t - 35t^2

C(A(2)) = 2657 + 1330(2)- 35(2)^2

C(A(2)) = 2657 + 2660- 140

C(A(2)) =5317- 140

C(A(2)) =5177

Hence, the cost of the first 2 hours of operation is $5177

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The management of Elamin Corporation is considering the purchase of a machine that would cost $365,695 and would have a useful l
sergey [27]

Answer:

Internal Rate of Return (IRR) 9,00%

Explanation:

We use excel or a spreadsheet to calculate this ratio. See document attached.

We use a cash flow to solve this problem.

At moment 0 we have the investment cost , in this case  $365,695. From period 1 to period 9, we have incomes o benefits of $61,000. Then, we calculate the Net cash flow that is the difference between benefits and cost.

We use all the result (positive and negative) in Net cash flow to get the IRR.  

Download xlsx
5 0
2 years ago
In a tiny village, on the coast of South America, early inhabitants used sea shells, as money. Some of these shells were very be
RUDIKE [14]

Answer:

Option (B) is correct.

Explanation:

Unit of account:

There are some functions of money or we can say that characterstics of money:

(a) Medium of exchange

(b) Store of value

(c) Unit of account

(d) Standard of deferred payments

Sea shells are precious items but one cannot properly split divide those sea shells into small denominations like money does. Money is easily storable, people use as a medium of exchange and unit of account.

By unit of account we mean that we can easily measure the value of goods and service and many things in monetary terms but we cannot measure in terms of sea shells.

That's why sea shells unfit to act as money today.

8 0
2 years ago
Mini, Inc., earns pretax book net income of $1,900,000 in 2019. Mini deducted $196,400 in bad debt expense for book purposes. Th
Xelga [282]

Answer:

a. $10,311

b. $0

c. $9,546.95

Explanation:

a. Deferred tax asset account:

= Deferred tax asset 2019 + Deferred tax asset 2020

Deferred tax asset 2019 = Bad debt for book purposes * tax rate

= 196,400 * 21%

= $41,244

Deferred tax asset 2020 = Bad debt for tax purposes * tax rate

= 147,300 * 21%

= -$30,933

Deferred tax account balance = 41,244 + (- 30,933)

= $10,311

b. Deferred tax liability account = $0

From the given details there are no tax liabilities.

c. Cost to Mini;

= Deferred tax asset * Present value factor

= 10,311 * 0.9259

= $9,546.95

4 0
2 years ago
Mr. Rich arranged for a mortgage loan for 65 percent of the $2.5 million purchase price of a home. The monthly payment will be $
olga2289 [7]

Answer:

Effective annual rate = 6.82 %

Explanation:

given data

loan = 65 % of  $2.5 million = $1625000

monthly payment pmt = $10,400

time = 30 year = 30 × 12 = 360

solution

we get here rate first by present value

present value = pmt × \frac{1-(1+r)^{-t}}{r}   ..........1

$1625000 = $10400  × \frac{1-(1+r)^{-360}}{r}

15.625 = \frac{1-(1+r)^{-360}}{r}

solve it we get

r = 0.5517%

and Effective annual rate  will be

Effective annual rate = (1+r)^{12} -1

Effective annual rate = (1+0.005517)^{12} -1

Effective annual rate = 0.068250

Effective annual rate = 6.82 %

7 0
2 years ago
On January​ 1, 2017,​ Sophie's Sunlounge owned 4 tanning beds valued at​ $20,000. During​ 2017, Sophie's bought 3 new beds at a
Natali5045456 [20]

Answer:

Net Investment = 4,000

Explanation:

Gross Investment = 10,000

Depreciation = Market Value - Book value

Depreciation =26,000 - 20,000

Depreciation = 6,000

Net Investment = Gross Investment - Depreciation

Net Investment = 10,000 - 6,000

Net Investment = 4,000

NOTE: Gross investment for 2017 will be the 3 new beds that Sophie bought during 2017 at a total cost of 10,000. To calculate Net investment we should calculate depreciation first by deducting book value from market value.

4 0
2 years ago
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