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jeka57 [31]
3 years ago
12

Consider the following marginal cost function. a. Find the additional cost incurred in dollars when production is increased from

100 units to 150 units. b. Find the additional cost incurred in dollars when production is increased from 500 units to 550 units. C′​(x)=4000−0.4x
Business
1 answer:
weqwewe [10]3 years ago
4 0

Answer:   (a) $197,500

(b) $ 189,500

Explanation:

Given : The marginal cost function : C′​(x)=4000−0.4x

To find the cost function, we need to integrate the above function with respect to x.

Now, the additional cost incurred in dollars when production is increased from 100 units to 150 units will be:-

\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500

Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500

Similarly,  the additional cost incurred in dollars when production is increased from 500 units to 550 units :-

\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500

Hence, the additional cost incurred in dollars when production is increased from 500 units to 550 units = $ 189,500

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Which of the following investments has a higher present value, assuming the same (strictly positive) interest rate applies to bo
Sholpan [36]

Answer:

B. Investment Y has a higher present value.

Explanation:

The cash inflows are given in the question for Investment X and Investment Y

Plus we know that the cash inflows and the number of years has an indirect relation

That means if the cash flows are the same for year 1 and 2 and in year 3 and year 4 so year 1 and year 2 present value would be higher as compared with the last year present value

Since in the question Investment Y has higher cash inflows in starting year but in Investment X has higher cash inflows in last year that interprets Investment Y has a higher present value

8 0
3 years ago
12–2. Offer and acceptance. Schmidt, the owner of a small business, has a large piece of used farm equipment for sale. He offers
Fiesta28 [93]

Answer:

Schmidt, the owner of a small business, has a large piece of used farm equipment for sale. He offers to sell the equipment to Barry for $10,000. Discuss the legal effects of the following events on the offer:  

• Schmidt dies prior to Barry’s acceptance, and at the time he accepts, Barry is unaware of Schmidt’s death.  

• The night before Barry accepts, fire destroys the equipment.  

• Barry pays $100 for a thirty-day option to purchase the equipment. During this period, Schmidt dies, and later Barry accepts the offer, knowing of Schmidt’s death.  

• Barry pays $100 for a thirty-day option to purchase the equipment. During this period, Barry dies, and Barry’s estate accepts Schmidt’s offer within the stipulated time period.

Explanation:

A contact is a binding agreement between two or more people.

Schmidt dies prior to Barry’s acceptance, and at the time he accepts, Barry is unaware of Schmidt’s death: Schmidt's death would normally null this offer but because Barry is unaware of his death at the time of acceptance, and the offer is not for a personal service, the offer holds.

The night before Barry accepts, fire destroys the equipment: there is no binding contract before a buyer accepts an offer.  

Barry pays $100 for a thirty-day option to purchase the equipment. During this period, Schmidt dies, and later Barry accepts the offer, knowing of Schmidt’s death: The option keeps the offer alive regardless of Schmidt’s death as long as Barry paid for the option .

Barry pays $100 for a thirty-day option to purchase the equipment. During this period, Barry dies, and Barry’s estate accepts Schmidt’s offer within the stipulated time period: the death of the offeree, in this case Barry, would normally nullify the offer but due to the option and the acceptance within the stipulated time,  the offer holds.

5 0
3 years ago
What do you call the person behind the desk at a hotel?
o-na [289]
The person is called a hotel desk clerk
5 0
3 years ago
Read 2 more answers
Adams Industries holds 42,000 shares of FedEx common stock, which is not a large enough ownership interest to allow Adams to exe
olga2289 [7]

Answer:

investment in FedEx = 4410000

Unrealized holding gain = 420000

Explanation:

given data

FedEx common stock = 42,000 shares

market value = $95

market value = $105

to find out

what amount will it be reported in the 2019 balance sheet

solution

we know that It is coming under available for sale security since the shares hold is less than majority of outstanding shares

and here

investment in FedEx =42,000  × 105

investment in FedEx = 4410000

and

Unrealized holding gain is = ( 105 - 95 ) × 42000

Unrealized holding gain = 420000

5 0
3 years ago
What the single greatest factor in safety and health programs’ failure to completely keep us free of workplace accidents is, why
Lady_Fox [76]
The answer to this is probably something like the human factor or a human error. That is because no matter how great the conditions are, you can't prevent people from making a mistake eventually and this can include even simple things like falling down stairs. What you can do is make sure you get good employees, but even those banal injuries still count as a workplace accident and the worker needs to be paid and covered to mend it.
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