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

PLS HELP MARKING BRAINLY ASAP!!!!!!!!!!!!!!!!!!

Answers

first you would have to go on the right side of the X axis and put a point on 2 and go up 3 and place a point there.

next you can do the same thing but got the the left side of the X axis and that will be the negative side of the numbers.

Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)

Answers

I’m gonna try to help you. So in the graph the line on the x intercept is between 100 and 150. Meaning it is at 125. The Y intercept line is marked at 275.

Therefore the answer should be
x-intercept: (125, 0)
y-intercept: (0, 275)

A new Youth activity center is being built in Hadleyville . The perimeter of the rectangular playing field is 262 yards. The length of the field is 4 yards less than double the width. What are the dimensions of the playing​ field?

Answers

Answer:

irdk

Step-by-step explanation:

the average or the blank is the blank divided by the blank or the amount of numbers being divided is what ​

Answers

Answer:

Numerrator is the denominator divieded by the other equations is the sum.

Step-by-step explanation:

Hope I helped

Please help, I'm not sure how to do this one!

The average teacher salary in a certain state is $52,300. If the standard deviation is $8,260, find the standard score for the following teacher salaries.

Teacher A: $56,236

Teacher B: $36,875

Answers

Deviation means possible distance in between sometimes 52,300-8,260 is 44,050 so that rules out b because 36,875 us belie 44,050 making the answer a but its always best to check anyways so 52,300+8,260 is 60,550 and 56,236 is in 60,550 so the answer is A

Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?

Answers

Answer:

D. 37/2 divided by 17/4

Step-by-step explanation:

Answer:

D) 37/2 / 17/4

Step-by-step explanation:

Change 18 1/2 and 4 1/4 into improper fractions.

18 1/2 = 37/2

4 1/4 = 17/4

So the answer is 37/2 / 17/4.

Please correct me if I am wrong, have a great day! :)

A number is 4 more than 2 times another number. If their sum is 52 then find the
value of each number.
I

Answers

Answer:

16 and 36

Step-by-step explanation:

x + (2x+4) = 52

3x+4=52

3x=48

x=16

A triangle abc has angle measures of 45,45 and 90 and two congruent (equal sides. How would this triangle be classified ?

Answers

The answer is gonna be: Acute and abuse triangle

An isosceles triangle is one with two equal-length sides. ΔABC is an isosceles right angled triangle.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. While the other two angles of the triangle measure 45°.

Hence, ΔABC is an isosceles right angled triangle.

Learn  more about Isosceles Right Angled Triangle here:

https://brainly.com/question/27190025

#SPJ2

Question:
7x^2 + 8x = x^2

Answers

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

That answer is correct

A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

r(x) = 0.05(x^2 + 1)(x - 6)

Consider the graph of function r.

Function r has (blank) and (blank). Based on the instantaneous growth rate, the population decreased (blank) hours and the population increased (blank) hours.

Answers

Answer:

Decreased 4 days-96 hours

Increased 6 days-144 hours

Step-by-step explanation:

In order to solve this you just have to look at the graph and after the start of the experiment which is basically the origin of the graph and as you can see immidiately goes down after the start and it reaches the turning point in the day four which is when the graph starts to go up in the Y axis, so that day it would start the increase, and it increases from day 4 to 10 that would be 6 days, and the decrease would be from the origin to day 4.

Select the postulate of equality or inequality that is illustrated. 5=5 addition postulate of inequality the multiplication postulate of inequality the symmetric postulate of equality the transitive postulate of equality comparison postulate the reflexive postulate of equality the transitive postulate of inequality​

Answers

Answer:

Reflexive postulate of equality

Step-by-step explanation:

Given

[tex]5 = 5[/tex]

Required

Which option answers the question

From the list of given options, the correct answer is: reflexive postulate of equality

This is so, because:

Reflexive postulate of equality implies that: [tex]a = a[/tex]

So, take [tex]a = 5[/tex]

This gives:

[tex]a = a[/tex]

[tex]5 = 5[/tex]

Hence:

Reflexive postulate of equality answers the question

Can you help me please

Answers

It would be 94/2 because bisect is half of the angle and 94 divided by 2 is 47

which equation could be used to solve for the Value of n +2 =6 ​

Answers

Answer:

i think that it is an algebraic equation

Step-by-step explanation:

You can use 6-2=4. (N would equal 4.)

Write the equation of the line the that is parallel to 21x-7y=12 and goes through the point (1, -3).

Answers

Work:
21x-7y=12
-7y=12-21x
y= -12/7+3x

Point: (1,-3)

y-y1=m (x-x1)
y+3= -12/7 (x-1)
y+3= -12/7x + 12/7
y= -12/7x -9/7

The equation is y= -12/7x- 9/7

How can I solve this ?

Answers

Answer:

985.25

Step-by-step explanation:

An easy way to divide by larger numbers is to see if the divisor fits into the thousands, hundreds, tens, and ones place.

8 doesn't go into 7, so you'd bring down the number in the hundreds place and so on and so forth.

Answer:

you start by seeing how many times 8 goes into (7) which is zero Then you add the (8).

how many times does 8 go into 78 = 9  with 6 left over.

you bring the 6 down and the next 8 giving you (68) = 8 with 4 left over

so you bring the 4 and the two down giving you (42) = 5 with 2 left over.

so your answer is 985 remainder 2

Step-by-step explanation:

(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)

Answers

Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.

You just got off the Haunted Mansion ride and the next ride you want to go
on is Splash Mountain. You have a fast pass that requires you to arrive at
Splash Mountain in 7 3⁄4 minutes. Splash Mountain is 1 3/5 miles away. You are able to cover 2/7 of a mile every minute. Can you make it to Splash Mountain?

Answers

Answer:

You can make it to Splash Mountain

Step-by-step explanation:

From the question,

The distance you need to cover to Splash Mountain is 1 3/5 miles, and the time you have to arrive there is in 7 3/4 minutes.

Also, from the question,

You are able to cover 2/7 of a mile every minute, that is

Your speed is 2/7 mile per minute

To determine if you can make it to Splash Mountain, we will determine the distance you can cover, traveling at this speed of 2/7 mile per minute for 7 3/4 minutes. If the distance you can cover is more than 1 3/5 miles, then you can make it; but if the distance you can cover is less than 1 3/5 miles, then you cannot make it.

From

Speed = Distance / Time

Distance = Speed × Time

Speed = 2/7 mile/minute

Time = 7 3/4 minutes = 31/4 minutes

∴Distance = 2/7 × 31/4

Distance = 31/14 miles = 2 3/14 miles

The distance you can cover traveling 2/7 of a mile every minute for 7 3/4 minutes is 2 3/14 miles, since this is more than 1 3/5 miles, then you can make it to Splash Mountain.

Hence, you can make it to Splash Mountain.

Rewrite in simplest terms: 4(-5u +3) – 4(8u - 1)

Answers

Answer:

You distribute then combine

your answer is -52u+16

Step-by-step explanation:

Which type of data would be BEST displayed in a dot plot?

Answers

Answer:

Fourth Option

Step-by-step explanation:

At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?

Answers

Answer:

12

Step-by-step explanation:

if 3 magazines = $18

$72/$18 = 4 sets of 3

4 x 3 = 12 magazines

multiply


97.062x12.5

Answers

Answer:

1213.275

or

48,531/40​

11.
Look at the graph.
Which describes an interval where the function is increasing?
A -00< X <-4
B-2 < x < 0
C -4 < x < 0
D5< x < 00

Answers

Answer:

i hiiiiiiiiii

Step-by-step explanation:

can i have brainlest answer

what is 20 1/6% as a fraction

Answers

Answer:

1.6

Step-by-step explanation:

1 x 20

6 x 1

=

20

6

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

20/2 = 10

6/2 = 3

10/3

The complete and simplified answer to the question what is 1/6 of 20 is:

3 1/3 = 1.6

so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6

6th grade math i mark as brainliest ​

Answers

Answer:

A and D

Step-by-step explanation:

-14 is less than -8 because is further away from 0

FIND THE UNIT RATE OF EACH SCENARIO.

TYPE YOUR ANSWER IN THE TEXT BOX BELOW.

0

2

Daxton is paid $48 in 6

hours. How much IS Daxton

Palld per hour?

Allison types 900 words in 20

Minutes. How many words

can she type per minutter

3

4

A Printing company can

print 15,000 flyers in 10

minutes. How many flyers

can be printed per minutes

Jeff traveled 300 miles and

Used 12 gallons Of gas. HOW

many mlies did he travel per

gaion Of gas?

Answers

1. Daxton is paid 8 dollars per hour.

2. Allison can type 45 words per minute.

3. 1,500 flyers can be printed per minute.

4. He traveled 45 miles per gallon of gas.









Explanation: You divide the two numbers that are being used in the word problem.

why are these similar or not similar​

Answers

Answer:

not similar

Step-by-step explanation:

A similarity would be that they are both scalene triangles.

what is the sum of all even integers between 9 and 39?​

Answers

Answer:

360

Step-by-step explanation:

10+12+14+16+18+20+22+24+26+28+30+32+34+36+38=360

it is very easy

hope it helps you

Some one please help it’s subtracting fractions

Answers

Convert any mixed numbers to fractions.

Then you get your initial equation

Applying the fractions formula for subtraction

Simplifying 72/16, the answer is

4 1/2

One lap around the track at Kathleen’s school is 0.4 kilometer. If Kathleen ran 3.5 laps, how many kilometers did she run?

Answers

Answer:

Kathleen ran  2 3/16miles

Answer:

The correct answer is option B

Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is

Answers

Answer:

¼

Step-by-step explanation:

The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.

Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.

The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.

The red line has a negative slope. It slants down from left to right.

Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]

[tex] slope(m) = \frac{1}{4} [/tex]

The slope of the line that is parallel to the blue line is ¼.

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