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tatyana61 [14]
3 years ago
15

Terry estimates that the costs of insurance, license, and depreciation to operate his car total $460 per month and that the gas,

oil, and maintenance costs are 34 cents per mile. Terry also estimates that, on average, he drives his car 2,000 miles per month. Required: a. How much cost would Terry expect to incur during July if he drove the car 1,534 miles
Business
1 answer:
puteri [66]3 years ago
7 0

Answer:

Total cost= $984.62

Explanation:

Giving the following information:

Fixed cost= $460

Unitary variable cost= $0.34 per mile

Miles driven= 1,534

<u>First, we need to establish the total cost formula:</u>

<u></u>

Total cost= fixed cost + unitary variable cost*number of units

Total cost= 460 + 0.34*x

x= number of miles

<u>Now, the total cost for the month:</u>

Total cost= 460 + 0.34*1,543

Total cost= $984.62

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3 years ago
) A company determines that its marginal revenue per day is given by R'(t) = 100et , R(0) = 0, where R(t) = the revenue, in doll
Vika [28.1K]

Answer:

$14038

Explanation:

The company has marginal revenue R'(t) = 100e^t. Therefore its revenue R(t) is given as;

R(t) = ∫R'(t)

R(t)= ∫ 100e^t dt =  100e^t + c

R(t) =  100e^t + c

But R(0) = 0, therefore:

R(0) =  100e^0 + c = 0

100e^0 + c = 0

100 + c =0

c = -100

Also the marginal cost per day is given by C'(t) = 140 - 0.3t

C'(t) = 140 - 0.3t

C(t) = ∫C(t) = ∫ (140 - 0.3t) dt = 140t - (0.3/2) t² + C

But C(0) = 0

C(0) = 140 (0) - (0.3/2)(0)² + c = 0

c = 0

C(0) = 140t - (0.3/2) t²

Profit P(t) = R(T) - C(T) , hence the total profit from t = 0 to t = 5 is given as:

P(t) = \int\limits^0_5 {[R'(t)-C'(t)]} \, dt =\int\limits^0_5 {([100e^t-(140-0.3t)]} \, dt=\int\limits^0_5 {100e^t} \, dt  +\int\limits^0_5 {-0.3t} \, dt  +\int\limits^0_5 {-140} \, dt  \\\\=[100e^t]_0^5+[ -140t]_0^5+[-0.3t^2/2]_0^5=[14841.316-100]+[-700]+[-3.75]=14038

The profit is $14038

7 0
3 years ago
Suppose you know that a company’s stock currently sells for $56 per share and the required return on the stock is 10 percent. Yo
Elenna [48]

Answer:

$2.8 divdends per share

Explanation:

$56 market price

Rate of return 10%

The gain for an investment in stocks is:

\frac{DividendsYield+SharePriceVariation}{Investment} = $Return on Investemnt

In this case we are told that this is distribute evenly, this means:

dividends paid = market price gain

So dividends yield 5% and market price yields another 5% to achieve the 10%

So currently $56 market price x 0.05% = $2.8 divdends per share

5 0
3 years ago
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