Mathematics, 28.09.2019 03:50, floverek

Acompany that produces electronic components can model its revenue and expense by the functions r(x)= (125/(x^2-12x+61))+4 and e(x) = sqrt(2x+1)+3 respectively, where x is hundreds of components produced and r(x) and e(x) are in thousands of dollars. assuming 0 ≤ x ≤ 10, answer the following.

a) to the nearest dollar, what is the maximum revenue?
b) if profit is calculated as the difference between revenue and expense, p(x) = r(x) - e(x), how many items should be produced to maximize profit?

i missed class the day we went over min and max and am very confused on this problem and would really appreciate .

Answers: 1

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answered: elitehairnerd1964

I don't know how to do it except for with deritivies
so take the deritivieve and find where the deritivieve equals 0
that is where the sign changes
where the sign changes from (+) to (-), that is max

so
A.

max revenue
R'(x)= $\frac{0-(2x-12)(125)}{(x^2-12x+61)^2}= \frac{1500-250x}{(x^2-12x+61)^2}$
find where numerator is 0
at x=6
to find change of sign, evaluate the denomenator at above and below 6 and see sign
R'(5)=(+)
R'(7)=(-)
at x=6, the sign changes from (+) to (-)
max is at x=6
sub 6 for x in the R(x) function
R(6)=9 (it's in thousands so $9000 is te max revenue)

B.
max profit
combine them
P(x)=R(x)-E(x)
take the deritive of P(x)
using sum rule
P'(x)=R'(x)-E'(x)
we already know what R'(x) is
E'(x)= $\frac{1}{ \sqrt{2x+1} }$
P'(x)= $\frac{1500-250x}{(x^2-12x+61)^2}-\frac{1}{ \sqrt{2x+1} }$
find zeroes or what value of x make P'(x) equal to 0
$\frac{1}{ \sqrt{2x+1} }= \frac{1500-250x}{(x^2-12x+61)^2}$
use calculator or something or work it out to find x
at x=5.225
x is hundreds so times 100
522.5
about 523 items

A. $9000
B. 523 items

answered: Guest

1.677

step-by-step explanation:

i'm not good at explaining stuff but if you need an answer i'm here for you.

answered: Guest

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

first prerecorded video to carry an advertiser's plug, but it was the

first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

are based on an exchange rate of

$1.68 to the pound sterling.)

cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation:

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Acompany that produces electronic components can model its revenue and expense by the functions r(x)...