ABX Clothing manufactures expensive jackets for sale to college stores in runs of up to

150. Its cost (in dollars) for a run of jackets is

() = + + .



, ( ≤ ≤ )

(a)ABX Clothing sells the jackets at $90 each. Find the revenue function.

(b) Find the profit function.

(c) How many should ABX Clothing manufacture to make a profit? (Round your answer up to

the nearest whole number.)​

Answers

Answer 1

Answer:

a. R(x) = 90x b. -1500 -10x - 0.2x c. 148

Step-by-step explanation:

a. Since we have x jackets produced at a rate of  $90 per jacket, the revenue function, R(x) = rate × number of jackets = 90 × x = 90x

R(x) = 90x

b. Since the cost function is C(x) = 1500 + 100x + 0.2x, the profit function P(x) = Revenue function - cost function = R(x) - C(x) = 90x - (1500 + 100x + 0.2x)

P(x) = -1500 + 90x - 100x - 0.2x

P(x) = -1500 - 10x - 0.2x

c. For a profit, P(x) > 0

-1500 - 10x - 0.2x > 0

0.2x + 10x + 1500 < 0

10.2x + 1500  < 0

10.2x < -1500

x < -1500/10.2

x < -147.05

x < -147

So, ABX Clothing needs to produce greater than 147 jackets to make a profit. So, they need to make 148 jackets to make a profit.


Related Questions

The total cost for 22 gallons of gas is $68.30. How many dollars per gallon of gas did you spend?

Answers

Answer:

$3.10 per gallon

Step-by-step explanation:

Take the total cost and divide by the number of gallons

68.30/22

3.1045454545

Round to the nearest cent

$3.10 per gallon

Answer:

$3.10 per gallon

Step-by-step explanation:

You just have to divide $68.30 by 22. (And round)

$68.30 divided by 22 = 3.10

So, you answer will be 3.10

= $3.10 per gallon

Hope this helps! And happy Halloween x-x

^w^

Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6

Answers

Answer:

D. -6

Step-by-step explanation:

SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct

hello I need help on it ​

Answers

It would be 78/4=19.5 which would mean that he would be able to set 19 tables. To be able to set all of the tables he would need 2 more napkins because 19*4=76. 78-76=2 so they would need 2 more to finish the last table.

Find the GCF for the following list
32, 140

Answers

Answer:

the gcf of 32 and 140 is 4

i hope this helps :)

Which equation would you choose in order to most easily identify the vertex?
K
y = 9x4 + 6x2 +1
y = x2 + 6x + 9
y = (x + 6)(x + 9)
y = (x + 6)2 +9
a 5

Answers

Answer:

last

Step-by-step explanation:

(PLS HELP 50 PTS + BRANLIEST)
A={2, 3, 5, 7, 10} B={1, 4, 6, 8, 9, 10}, C={5, 6, 7}. The universal set U={1, 2, 3, 4, 5, ...10} List the elements of the following:

AUC=
A⋂U=
A⋂Ø=
Ā=
ĀUB=

Answers

Answer:

AUC= {2,3,5,6,7,10}

The second one=A

The third one= empty

I'm sorry. I don't know the others.


In the worst storm in Sunnyville history, 6 inches of rain fell in 8 hours. What was the amount of rainfall per
hour?



A: 1/2 of an inch
B: 3/4 of an inch
C: 1 1/2 inches
D : 2 inches

Answers

Answer:

B. 3/4

Step-by-step explanation:

6/8=0.75

Answer: B

Step-by-step explanation:

6 = 8

3 = 4

1.5 = 2

0.75 = 1

Hope this helps!

The manager of a technology store wants to save $20,000 in 3 years to make a down payment on a condominium. How much (in dollars) does the manager need to invest at the beginning of each week into an account that earns 7.25% interest compounded weekly

Answers

Answer:

$16,104.35

Step-by-step explanation:

the expression for compound interest is given as

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A=$20,000

P=?

r=7.25%=0.0725

n=52 weeks

t=3 year

[tex]20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\[/tex]

the manager need to invest $16,104.35

A chemist is performing an experiment by observing the effects when she combines two solutions. She monitors the temperature of the combined solution over the course of eight hours and records it in this table below.

The chemist can model the temperature with a polynomial function. During these eight hours, over what interval is the temperature decreasing?

A. From hour 0 to hour 8

B. From hour 5 to hour 8

C. From hour 0 to hour 5

D. From hour 2 to hour 6

Answers

Answer:

A. From hour 0 to hour 5

Step-by-step explanation:

For all Plato users

Interval of the temperature decreasing is from hour 0 to hour 5.

What is interval?

an interval is defined as a group of numbers which includes all numbers between the beginning and the end.

According to given data is showing that the temperature decreasing zero hour to 1 hour , then 1 to 2 hour, then 2 to 3 hour, then 3 to 4 hour, then 4 to 5 hour.

So the interval of the temperature decreasing is from hour 0 to hour 5.

Learn more about interval

https://brainly.com/question/13708942

#SPJ2

Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.

Answers

Question:

Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.

Given:product of their ages=154Brad is 3 years older than FrancisLet:Age of Francis be xAge of Bard be x+3

Answer:

A/Q:

Age of Bard× Age of Francis=154

x×(x+3)=154

x²+3x=154

Let's split 3x into +14x and -11x

x²+3x-154=0

x²+14x-11x-154=0

x(x+14)-11(x+14)=0

(x-11)(x+14)=0

x=11

x=-14

So we aren't taking ages in negetive

.°.x=11

As we know in starting we have take x as Financis age

.°. Francis age=11✔

We know Brad is 3 years older than Francis

.°. Brad age=x+3

Brad age=14✔_____________________

With regards!

Dull Star

Which table of values will generate this graph?

On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0).

Answers

Answer:

i need help with this to

Step-by-step explanation:

the table of values will be values of x and y respectively.

x= -2,0,0,and 3

y= 0,1,-4 and 0.

I need help with this question

Answers

Answer:

49 or 1

Step-by-step explanation:

answer 1 14+10+13+12=49 answer 2 (14+10)-(13+12)=1

The farmer decided that he ordered enough planks for an arena that measured 115 1/4 ft by 63 1/2 ft. Is he correct? Explain.



What questions do you need to answer this question? Please help

Answers

Answer:

The question we need to answer is what is the perimeter of the arena

Step-by-step explanation:

The question we need to answer is what total length of plank did the farmer ordered for the arena.

to solve for the length of plank to cover the arena we need to solve for the perimeter of the arena.

given data

length L= 115 1/4 ft = 115.25ft

width W= 63 1/2 = 63.5ft

perimeter= 2L+2W

perimeter= 2(115.25)+2(63.5)

perimeter= 230.5+127

perimeter= 357.5ft

This means that the farmer ordered a total length of 357.5ft of plank

Evaluate the expression m/2 + m
m=14.

Answers

Answer:

plug in m

14/2 + 14

7 + 14

21

Step-by-step explanation:

The capacity of a dump truck is listed by the manufacturer as 10 yd3 . A construction site requires the removal of of dirt, and the contractor has four identical trucks. How many trips will each need to make

Answers

Question:

The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?

Answer:

7 trips

Step-by-step explanation:

Given

[tex]Capacity = 10yd^3[/tex]

[tex]Dirts = 200m^3[/tex]

[tex]Trucks = 4[/tex]

Required

Determine the number of trips of each truck

Divide the volume of dirts by 4 to get the portion of each truck

[tex]Each\ Truck = \frac{200m^3}{4}[/tex]

[tex]Each\ Truck = 50m^3[/tex]

Divide the portion of each truck by capacity of each truck to get the number of trip

[tex]Trip = \frac{50m^3}{10yd^3}[/tex]

Convert m^3 to yd^3

[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]

[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]

[tex]Trip = \frac{65.3975}{10}[/tex]

[tex]Trip = 6.53975[/tex]

Approximate:

[tex]Trip = 7[/tex]

i need some hidden amines that are new please

Answers

Answer:

i think i know someone but ion know

Step-by-step explanation:

useeee funimation :)

350 - 15x = 200 - 10x
Sam’s Jet Ski rental charges $350 to rent a jetski plus $15 per hour. Brian’s Jet Ski rental charges $200 to rent a jetski plus $10 per hour

Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.

Water tank A has 350 gallons of water and is losing 10 gallons per minute. Water tank B has 200 gallons of water and is losing 15 gallons per minute

Tree A has a height of 350 centimeters and is growing at a rate of 15 cm per day. Tree B has a height of 200 centimeters and is growing at a rate of 10 centimeters per day

Answers

Answer

Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.

The radius of a semicircle is 2 yards what is the semicircle’s perimeter

Answers

10.28 because you would take your radius times pie and add that to 2tikes your radius

what is 2(3x+4)=x-7​

Answers

the answer to your question is x=-3

What is the measurement of G?

Answers

Answer:

59 Degrees!!

Step-by-step explanation:

Answer:

59°

Step-by-step explanation:

180 - (57 + 64) =

180 - 121 = 59

A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
m/s?

Answers

Answer:

The ball's speed will be 10 m/s at t=1.22 seconds

Step-by-step explanation:

The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.

If the object is thrown upwards at speed vo, its speed at time t is:

[tex]v_f=v_o-g.t[/tex]

Where g is the acceleration of gravity [tex]g=9.8 m/s^2.[/tex]

Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.

Solving the above equation for t:

[tex]\displaystyle t=\frac{v_o-v_f}{g}[/tex]

Substituting:

[tex]\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}[/tex]

t=1.22 seconds

The ball's speed will be 10 m/s at t=1.22 seconds

A television with a 5:3 screen shows an image with a ratio of 5:4 which creates a letter boxed image. What percent of the screen’s area is occupied by the image?


a)

133%

b)

75%

c)

20%

d)

33%

e)

25%

Answers

Answer:

C

Step-by-step explanation:

What is the discriminant of the quadratic equation: (multiple choice)

Answers

Answer:

85

Step-by-step explanation:

The equation for the discriminant is

b^2-4(a)(c)

Plug your numbers in from the equation.

1=a, -7=b, -9=c

(-7)^2-4(1)(-9)

49-(-36)

49+36

85

Loren spent $42.25 to fill her car with 13 gallons of gas. How much did Loren pay per gallon?

Answers

Answer: 3.25

Step-by-step explanation: What I did was Multiply 42.25 by 100 ( To make it easier) and then divide it by 13. After that, I divided the quotient by 100 to get the real answer, which was 3.25

Let me know if I was helpful or not!

Solve graphically, 2x^2+2x-4=0

Answers

The answer is in the picture below !

Diana goes on vacation with $260. Each day, she spends the same amount of
money. After 1, 2, 3, and 4 days on vacation, she has $242, $224, $206, and
$188, respectively.
Please help

Answers

She has 860 dollars after vacation

logan drew 4 hearts and 40 circles. What is the ratio of hearts to al shapes?

Answers

Answer:

1:11

Step-by-step explanation:

4(hearts):44(all) in simplest form is 1:11 because 4 and 44 are divisible by 4.

Answer:4:40

Step-by-step explanation:

Pls help me plssss. Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69,65, 87.
What is the mean height of Bella's corn stalks? ——————————
O A 69 cm
O B. 75 cm
O C. 78 cm
OD 80 cm
O E 81 cm

Answers

Answer:

the answer is C. 78

Step-by-step explanation:

First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.

9(k+12)+4k2 when k= 3 the 2 is small

Answers

Answer:

the answer is 4k^2+9k+108

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....

[tex]9(k+12) + 4k^{2}[/tex]

if k=3 we would replace all the k's with 3.

9(3+12) + 4(3)²

9(15) + 4(9)

135 + 36

171

So the answer would be 171

Hope that helps and have a great day!

Solve the inequality. 12x<-144

Answers

Answer:

Step-by-step explanation:

x=-12

Answer:

x= -12

Step-by-step explanation:

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