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Amanda [17]
3 years ago
10

A subway train arrives at the station every 8 minutes. You have a doctor's appointment near the station, so you take the subway

and arrive at 10:04. You are finished with your appointment at 11:15. When will the next subway train arrive at the station?
Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0
11:16, start adding 8 minutes at 10:04 and continue until thectime getd past 11:15.
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The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has deter
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Answer:

(a)R(x)=-0.02x^2+610x

(b)R'(x)=-0.04x+610

(c)R'(5400)=$394

Step-by-step explanation:

Given that x is the quantity demanded and the speaker's unit price (in dollars) is p where:

p = −0.02x + 610 (0 ≤ x ≤ 20,000)

(a)Revenue function R.

Revenue = Price X Quantity Demanded

Therefore:

R(x)=xp

=x(-0.02x + 610)\\R(x)=-0.02x^2+610x

(b)Marginal revenue function R'(x)

If R(x)=-0.02x^2+610x

Then, the marginal revenue function

R'(x)=-0.04x+610

(c)We want to compute R'(5,400)

R'(5400)=-0.04(5400)+610\\R'(5400)=394

From the above, we can infer that the revenue that will be generated on the sales of the 5401st item is $394.

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