subject
Mathematics, 18.03.2021 06:20 zhenhe3423

PLEASE ANSWER ASAP The Pear company sells pPhones. The cost to manufacture x pPhones is
C(x)= -25x^2 + 49000x +21390 dollars (this includes overhead costs and production costs
for each pPhone). If the company sells x pPhones for the maximum price they can fetch, the
revenue function will be R(x)= -29x^2 + 129000x dollars.
How many pPhones should the Pear company produce and sell to maximimze profit? (Remember
that profit=revenue-cost)
x=

Answers

ansver
Answer from: jennelledenise

10,000 pPhones.

Step-by-step explanation:

The cost to manufacture x pPhones is given by the cost function:

C(x)=-25x^2+49000x+21390

And the revenue for selling x pPhones is given by the revenue function:

R(x)=-29x^2+129000x

We want to determine the number of pPhones the Pear Company should sell to maximize profits.

First, we can find the profit function. Profit is given by:

P(x)=R(x)-C(x)

Therefore:

P(x)=(-29x^2+129000x)-(-25x^2+49000x+21390)

Simplify:

P(x)=(-29x^2+129000x)+(25x^2-49000x-21390)

Add. So, our profit function is:

P(x)=-4x^2+80000x-21390

Note that our profit function is a quadratic. The maximum point of a quadratic is always its vertex. So, we can find the vertex of the profit function.

The coordinate of the vertex is given by:

\displaystyle \Big(-\frac{b}{2a},f\Big(-\frac{b}{2a}\Big)\Big)

In this case, a = -4, b = 80000, and c = - 21390.

Therefore, the point at which profit is maximized is:

\displaystyle x=-\frac{80000}{2(-4)}=-\frac{80000}{-8}=10000

Therefore, in order to maximize profits, the Pear Company should sell exactly 10,000 phones.

Notes:

And the maximum profit will be:

P(10000)=-4(10000)^2+80000(10000)-21390=\$399,978,610

ansver
Answer from: Quest

22 dimes and 9 nickels

step-by-step explanation:

ansver
Answer from: Quest

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 16:20, jennyferluna0216
Refer to interactive solution 17.45 to review a method by which this problem can be solved. the fundamental frequencies of two air columns are the same. column a is open at both ends, while column b is open at only one end. the length of column a is 0.504 m. what is the length of column b?
Answers: 1
image
Mathematics, 21.06.2019 19:00, katherinemartinez173
Simplify. −4x^2 (5x^4−3x^2+x−2) −20x^6−12x^4+8x^3−8x^2 −20x^6+12x^4−4x^3+8x^2 −20x^8+12x^4−4x^2+8x −20x^6+12x^4+4x^3−8x^2
Answers: 1
image
Mathematics, 21.06.2019 19:30, 19King73
Select the margin of error that corresponds to the sample mean that corresponds to each population: a population mean of 360, a standard deviation of 4, and a margin of error of 2.5%
Answers: 2
image
Mathematics, 22.06.2019 00:20, brainist71
Does the construction demonstrate how to copy an angle correctly using technology a) yes the distance between points a and f was used to create circle h b) yes the distance between points f and g was used to create circle h c) no the distance between points a and f was used to create circle h d) no the distance between points f and g was used to create circle h
Answers: 3
You know the right answer?
PLEASE ANSWER ASAP The Pear company sells pPhones. The cost to manufacture x pPhones is
C(x)=...

Questions in other subjects: