The total cost (in dollars) for a company to manufacture and sell x items per week is C(x)=50x+400. If the revenue brought in by selling all x items is R(x)=80x-0.05x2, find the weekly profit. How much profit will be made by producing and selling 40 items each week? Hint: P(x)=R(x)−C(x).

Answers

Answer 1

Answer:

$720

Step-by-step explanation:

Given the following functions

Cost function C(x)=50x+400

Revenue function R(x)=80x-0.05x^2

P(x)=R(x)−C(x).

Profit function P(x) = 80x-0.05x^2 - (50x+400)

P(x) = 80x-0.05x^2 - 50x - 400

Substitute x = 40

 P(40) = 80(40)-0.05(40)^2 - 50(40) - 400

P(40) = 3200-80-2000-400

P(40) =3200-2480

P(40) = 720

Hence the amount of profit made is $720


Related Questions

Help me with this pls

Answers

answer:f60 and 40

Step-by-step explanation:

a line is a 180 degree angle there's 80 already there and then 60 plus 40 is a hundred

x=20

3 times 20 equals 60

2 times 20 equals 40

60+40+80= 180

what is the math problem to 35= 3.5s

Answers

Answer:

35=3.5s =40 4.5s

Step-by-step explanation:

tell me if I'm wrong.

What would your total be on a pizza that cost
$12.50 pre-tax, the tax was 9%, and you tipped
10% on the pre-tax amount?

Answers

Answer:

12.50/100 X 110 = 13.75

13.75-12.50 = 1.25

12.50/100 X 109 = 13.625

13.625 + 1.25 = 14.875

monetary unit round to 2dp

$14.88

please help me please will give brainliest ​

Answers

Answer:

C

Step-by-step explanation:

For every 3 batteries, we see 2 hours of usage, look at the point (3, 2)

Thank, 5 star, and brainliest if helpful

Answer:

C: For Every Increase In Three Hours Of Usage Jimmy Had To Use Two More batteries

Step-by-step explanation:

Rebecca is investigating the equation 1 - 1/3 * (12x + k) = - 4x + 1 is an integer in the Interval - 5 <= k <= 5 She states that there are cases when the equation hasinfinitely many solutions for x and cases where the equation has no solution forx. Complete the table by identifying one value of each case to occur.

Answers

Step-by-step explanation:

2y she stated that she was going how much

Answer:

Infinitely many solutions = 2

No solutions = None

In a basketball game, Alison made 6 of 13 free shots.
Madhu made 5 of 9 free shots. Who played better? Explain.

Answers

Answer:

Madhu played better.

Step-by-step explanation:

Change both fractions to where they have the same denominator to see which one is bigger. The smallest possible denominator between the two fractions is 117.  

To get the 13 in 6/13 to become 117, you had to multiply it by 9. Whatever you do to the denominator, you must do to the numerator.

6 x 9 = 54.

Allison's fraction is now 54/117.

To get the 9 in 5/9 to become 117, you had to multiply the 9 by 13. Whatever you do to the denominator, you must do to the numerator.

5 x 13 = 65

Madhu's fraction is now 65/117

By looking, 65 is larger than 54, so Madhu had a larger number of shots compared to shots not made than Allison.

What is the base in the expression 4⁵?
1.4
2.5
3.9
4.20​

Answers

Answer:

1.4

Step-by-step explanation:

base is 4 option 1 is correct

4 is correct that is it

f(x) = 2x-1 and g(x)=3x. Find f(g(-3))

Answers

Answer:

0,-1

Step-by-step explanation:

Which equation has a solution of 3/4 for y?

8y=9

4y=6

214+y=4

y−1=−14

Answers

Answer:

the answer for the solution set suppose to be 3/2 not 3/4

Step-by-step explanation:

the right equation is 4y=6

ASAP
3x - 18=0
options:
x= -6
X=6

Answers

Answer:

21

Step-by-step explanation:

I think the correct answer is X=6

Drew is making a dart board. The diameter of the dart board is 48 centimeters. What is the approximate circumference?

Answers

Answer:

119 cm got it right on edge 2020

Step-by-step explanation:

Its right

Circumference = 2(pi)(r)
r=diameter/2
r=48/2
r=24

Circumference = 2(pi)(r)
Circumference = 2(pi)(24)
Circumference = 150.7964cm = 150.8cm

x+2y=6 5x+3y=2
solve using elimination
express your answer as a coordinate

Answers

Answer:

(-2,4)

Hope this helps

PLEASE HELP DUE TMRW!
What is the vocabulary term for a number that can be written as a fraction or a decimal.
that either terminates or repeats?
A.Integer
B.Rational Number
C.Absolute Value
D.Additive Inverse

Answers

Answer:

B

Step-by-step explanation:

Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator

Answer:

B. Rational number

Step-by-step explanation:

5+(-13)=????
??????????​

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

a. 25 - 3x = 40, х =

Answers

Answer:

x=-5

Step-by-step explanation:

25-3x=40

-3x=40-25  (both side -25)

-3x=15 (both side divide by 3)

x=5

0.19, 0.55, 0.593,0.5 in descending order

Answers

Answer:

0.593,0.55,0.5,0.19

Step-by-step explanation:

More 5th grade work c’mon

Answers

Answer: honestly for the first one, i think the answer would be 2.

they both have 5 at the end so you know its divisible :)

Step-by-step explanation:

Answer:the awsner is 2

Step-by-step explanation:

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

At 50 years old, Margie gets her first job that requires 3% pre-tax income deposits to Social Security. Margie makes $35,000 a year. Assuming she retires at 62, and Social Security offers a 2.5% rate to offset inflation, what will be the balance of Margie's Social Security when she retires?

Answers

Answer:

$14,847.46

Step-by-step explanation:

Patty counted 250 chocolate chips on a tray of cookies. The actual amount of chocolate chips on the tray were 265. What is the percent error? *

Answers

Answer:

percent error=6%

Step-by-step explanation:

Step one:

given data

Patty counted 250

The actual amount of chocolate chips on the tray were 265

Required

The percent error

Step two:

The formula is

percent error= actual-expected/expected*100

percent error= 265-250/250*100

percent error=15/250*100

percent error=0.06*100

percent error=6%

Question in the picture. Thanks

Answers

Answer:

x=100

Step-by-step explanation:

Simply multiply the 1/5 by 20 to get x, since 5*20, you get 100.

x=100
Step-by-step explanation

Solve the system of equations.
- 5y + 3x = 3
- 8y + 9x = -12

Answers

Point from:

(-4, -3)

Equation Form:

x = -4, y = -3

Which problem can be solved using 3 x 7= 21?

Answers

Answer:

2nd one

Step-by-step explanation:

phil has 3 tables with 21 balloons on each

D would be the answer to solve 3x7=21. A is adding 21 with 3 and B is multiplying 3 and 21 witch isn’t what we’re looking for. Then for C, it would be subtracting 22 by 3. D is the only one witch said that Phil has 21 balloons and he put the same number of ballon on 3 tables. This way they can divide 21 with 3 and gives the quotient of 7. So D would be the best answer t solve he problem 3x7=21.

Write
0.925

as a fraction in simplest form.

Answers

Answer: 37/40

Step-by-step explanation: 0.925 = 925/1000

= 925/1000

= 185/200

= 37/40

Hope it helped u,

pls mark as the brainliest

^_^

What is the image point of (0, -1) after a translation left 5 units and down 1 unit?

Answers

Answer:

(-5, -2)

Step-by-step explanation:

Zac has a fair coin and a six-sided number cube with a number, 1 through 6, on each side. He flips the coin and rolls the number cube. What is the probability that the coin shows tails, and the number cube is more than 2?​

Answers

Answer:

1/3

Step-by-step explanation:

1/2 * 4/6 = 1/2 * 2/3 = 1/3

thank, 5 star, and brainliest if helpful!

What is .087% of $550

Answers

Answer:

0.4785

Step-by-step explanation:


Use the DistributiveProperty to write an equivalent expression
3(-6.45 + 5x)

Answers

-19.35 + 15x

In order to get this answer distribute the 3 to the -6.45 and the 5x.

Help me please ASAP!!

Answers

answerrrrrrrrrrrrrrrrrrr is 5cm

Answer:

The angle  length of angle AB is 5 inches.

Step-by-step explanation:

5/6 -2/9 in simplest form

Answers

Answer:

56 is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

The answer is 11/18

Simplify the radical

Answers

Answer:

[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]

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