Matthew Bailey, as manager of Designs by Bailey, is upgrading his CAD software. The high-performance (HP) software rents for $3,000 per month per workstation. The standard-performance (SP) software rents for $2,000 per month per workstation. The productivity figures that he has available suggest that the HP software is faster for his kind of design. Therefore, with the HP software he will need five engineers and with the SP software he will need six. This translates into a variable cost of $200 per drawing for the HP system and $240 per drawing for the SP system. At his projected volume of 80 drawings per month, which system should he rent?

Answers

Answer 1

Using linear functions, it is found that the high-performance system should be rented.

A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

a is the slope, which is the variable cost.b is the y-intercept, which is the fixed cost.

With the high-performance software:

Fixed cost of $3,000 per month, hence [tex]b = 3000[/tex].Cost of $200 per drawing, hence [tex]a = 200[/tex]

Then, the model is:

[tex]C_{hp}(d) = 3000 + 200d[/tex]

With the standard-performance software:

Fixed cost of $2,000 per month, hence [tex]b = 2000[/tex].Cost of $240 per drawing, hence [tex]a = 240[/tex]

Then, the model is:

[tex]C_{sp}(d) = 2000 + 240d[/tex]

The costs for 80 drawings, that is, [tex]d = 80[/tex] for both cases are given by:

[tex]C_{hp}(80) = 3000 + 200(80) = 19000[/tex]

[tex]C_{sp}(80) = 2000 + 240(80) = 21200[/tex]

Due to the lower cost, the high-performance system should be rented.

A similar problem is given at https://brainly.com/question/20849340


Related Questions

Which claim supports this graph?


A- There is a huge difference in the number of times students use social media.

B- There is a small difference in the number of times students use social media.

C- Students mostly use social media 0 times per day.

D- Students mostly use social media 10 times per day.

Answers

Answer:

I would say A. it makes the most sense.

Answer: A - there is a huge difference in the number of times students use social media

0.9627281873+783,840,183=??!!
plzzz help​

Answers

ANSWER: 783,840,183.9627281873

EXPLANATION:
Just use your calculator lol

4. Dexter has 36 pets. He has 3 times as
many fish as mice and half as many
cats as mice. How many of each pet
does Dexter have?

Answers

Answer:

the answer is 162 I used a calculator this app is so cool

Plz help I need help

Answers

Answer would be 5z + 1
I think it is 5z + 1

Question: Assume you have a balance of $1000 on a credit card with an APR of 12%, or 1% per month. You start making monthly payments
of $200, but at the same time you charge an additional $100 per month to the credit card. Assume that interest for a given month is based on
the balance for the previous month. The following table shows how you can calculate your monthly balance. Complete and extend the table to
show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit carddebt?
nts
Fill out the table row by row and continue until the last full payment. Round to the nearest cent as needed.
Month
Payment
Expenses
Interest
New Balance
a
urces
0
---
$1000
es
1
$200
$100
$10
$910
4/7
fing
2
$200
$100
ection
3
$200
$100
4
$200
$100

Answers

1. The extension of the table to show the month-end balances until full debt settlement is as follows:

Month  Payment  Expenses  Interest   New Balance

0                  $0          $0            $0        $1,000

1              $200         $100       $10        $910 ($1,000 - $200 + $100 +$10)

2             $200         $100      $9.10     $819.10 ($910 - $200 + $100 + $9.10)

3             $200         $100      $8.19     $727.29 ($819.10-$200+$100+$8.19)

4             $200         $100      $7.27    $634.56 ($727.29-$200+$100+$7.27)

5             $200         $100      $6.35    $540.91 ($634.56-$200+$100+$6.35)

6             $200         $100      $5.41     $446.32 ($540.91-$200+$100+$5.41)

7             $200         $100      $4.46    $350.78 ($446.32-$200+$100+$4.46)

8            $200         $100       $3.51    $254.29 ($350.78-$200+$100+$3.51)

9            $200        $100        $2.54   $156.83 ($254.29-$200+$100+$2.54)

10          $200         $100        $1.57    $58.40 ($156.83-$200+$100+$1.57)

11           $200         $100        $0.58   ($41.02) ($58.40-$200+$100+$0.58)

Data and Calculations:

Credit card balance = $1,000

APR = 12%

Monthly APR = 1%

Monthly payments = $200

Monthly charge = $100

Learn more: https://brainly.com/question/24317087

12Q. Sweeti covered 2/7 of the running track by walking and rest by running and the length of the track is 630 m. Find the distance covered by running ?​

Answers

Step-by-step explanation:

Given that :

Total length of the track = 630 m

Distance covered by Sweeti by walking = 2/7 of the running track

2/7 of 630 m

⇛ (2/7)×630

⇛ (2×630)/7

⇛ 1260/7

⇛ 180 m

Distance covered by walking = 180 m

Remaining distance =

Total distance - Distance covered by walking

⇛630 m - 180 m

⇛ 450 m

The total distance covered by running by Sweeti is 450 m.

Read more:

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You can burn about 450 calories if you run 5 miles. How many miles will you need to run to burn 630 calories? Justify your reasoning.....

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For every $100 Oliver gets paid, Oliver donates $25 to charity. How much will he have donated if he
earns $2,000?

Answers

Answer:

$500 donated to charity

Step-by-step explanation:

2,000 times 0.25 is 500

Answer:

$1500

Step-by-step explanation:

Oliver gives 1/4 of the amount he gets paid to charity therefore

2000/4= 500  (this is 1/4 of the amount he gets paid)

2000-500=$1500

He is left with $1500

help please ill give the person who answeres honstly a biranly and 25 points ofc ofc

Answers

Answer:

Alright I’ll go in order

Well first things first I’m gonna make the numbers in order first to make life easier

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

#1: Is asking for the median of the data

The median is basically the center of the data in order

In this case the middle number here is 40 and 41, we jsut find the average between those 2 to find it. 40+41= 81 81/2= 40.5

Median :40.5

#2: Is asking for the mode

The mode is the number that comes up or repeats the most.

in this case it’s 39, 40, and 46

Mode: 39, 40, 46

#3: Is asking for the mean

The mean is basically the average, you add up all the given numbers and divide it by the amount of numbers there are. In this case it goes something like

22+36+39+39+40+40+41+42+45+46+46+49

you would get 446

Now theres 12 numbered so we divide that by 12

446/12 you’d get 37 1/6 as ther average or 37.166666666666…

#4: Is asking for the range

You just find the difference ebetween the greatest number and llowest number. In this case it’s 49-22 so you got 27

Range: 27

I think you can figur the rest out on your own!

98546 dividido para
46

Answers

Answer:

2142.30435

Step-by-step explanation:

The answer is 2142 and leaves remainder

Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for
t ≥ 0.
Then the integral
ℒ{f(t)} =

e−stf(t) dt

0
is said to be the Laplace transform of f, provided that the integral converges.
to find
ℒ{f(t)}.
(Write your answer as a function of s.)

Answers

Answer:

1q1231564rr54drdfgy6

Can someone help? anyone?

Answers

Answer:

The right answer is letter C.

Step-by-step explanation:

I hope it's help

have a nice day and night


The length of a rectangle is 5 meters less than 3 times the width. The perimeter is 46 meters. Find the width.

Answers

Answer:

.

Step-by-step explanation:

A square is inscribed in a circle as shown below. The radius of the circle is
decreasing at a constant rate of ½ centimeter per second. When the
radius of the circle is 4√2 centimeters, what is the rate of change of the
area of the shaded region found outside the square but inside the circle.

Answers

Answer:

3

Step-by-step explanation:


Which inequality correctly compares 2/5, 1/8, and 5/7
• 1/8 < 2/5 < 5/7
• 1/8 < 5/7 < 2/5
• 2/5 < 5/7 < 1/8
• 2/5 < 1/8 < 5/7
Plz be quick I’m being timed

Answers

Answer:

second or last

Step-by-step explanation:

Answer:  1/8 < 2/5 < 5/7

Step-by-step explanation:

how is 7 square root 2 is equal to 49?

Answers

Answer:

Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.

Fiill in the table using this function rule. Y=-3x+3

Answers

Answer:

3(x+1)

Step-by-step explanation:

A research question is a declarative statement which can be tested to determine the probability of it being true or false.

Answers

Answer:

Step-by-step explanation:

Yes the answer is true.

A declarative statement is one that

makes a statementprovides a factoffers an explanationconveys information

That being said, it can make a statement that is testable. It is testable, it can be assigned a probability.

NEED HELP ASAP PLS
Find the equation of the line that has a slope of 3 and goes through the point (3,2)
formula: y=mx+b​

Answers

Answer:

y=3x-7

Step-by-step explanation:

A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop. A coordinate plane is titled Which point represents the fourth bus stop? A. (11, 8) B. (13, 12) C. (15, 10) D. (19, 12)

Answers

Answer:

D. (19,12)

Step-by-step explanation:

For each bus stop, the X coordinate increases 4, and the Y coordinate increases 2.

Name                x      y      Point

bus station:     3   4     (3,4)

1st bus stop:     7  6     (7,6)

2nd bus stop:    11  8     (11,8)

3rd bus stop:     15  10     (15,10)

4th bus top:     19  12     (19,12)

Answer:

Step-by-step explanation:

19,12

   
   
  
     
 
 

Answers

love the question marks babe though i think you need to check this out so someone can answer lol

In a Parallelogram CARS , <C = 5x-20 and <A = 3x+20. Find the value of x ?​

Answers

Given that

In a Parallelogram CARS ,∠C = (5x-20)°

∠A = (3x+20)°

angle C and angle A are adjacent angles

We know that

In a Parallelogram the adjacent angles are supplementary.

⇛∠C + ∠A = 180°

⇛ (5x-20)°+(3x+20)° = 180°

⇛5x°-20°+3x°+20° = 180°

⇛(5x°+3x°)+(20°-20°) = 180°

⇛8x°+0 = 180°

⇛8x° = 180°

⇛ x° = 180°/8

⇛ x° = 22.5°

Answer:-The value of x = 22.5°

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PLEASE HELP ME!
Find the x- and y-intercepts of the graph of -x+2y=6. State each answer as an integer or an improper fraction in simplest form.

Answers

Given the linear equation, -x + 2y = 6, we can set y = 0 to find the x-intercept.

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0), where a = x-intercept.


-x + 2y = 6
-x + 2(0) = 6
- x + 0 = 6
-x = 6

Divide both sides by -1 to isolate x:
-x/-1 = 6/-1

x = -6

Therefore, the x-intercept is (-6, 0), where its x-coordinate, a = -6.

Next, in order to solve for the y-intercept, set x = 0.

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b), where b = y-intercept.

-x + 2y = 6
-(0) + 2y = 6
0 + 2y = 6
2y = 6

Divide both sides by 2 to isolate y:

2y/2 = 6/2

y = 3

Therefore, the y-intercept is (0, 3), where its y-coordinate, b = 3.

The two numbers are in the ratio of 4:5 and the sum of these numbers in981 find the numbers​

Answers

Answer:

Step-by-step explanation:

let x be the larger number

x + (4/5)x = 981

(9/5)x = 981

x = 981(5/9)

x = 545

(4/5)(545) = 436

PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.

Answers

Answer:

B.

Step-by-step explanation:

factored form actually contains the x intercepts right in it. Basically whatever sets the whole equation equal to zero.

On the graph you can see that it passes through both positive and negative 4. so (x+4)(x-4) is the answer because plugging in 4 for x will make it zero. Same for plugging in negative 4

Hope this helps!

Simplify the expression.
14.5 – 3(-7.9+ 4.4 - 2.9) = 14.5 – 3

Answers

sus susussusususususususus

A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.

Answers

Answer:

10,000th place

Step-by-step explanation:

A group of 200 adults were asked whether they prefer getting their news from newspapers or from TV. The gender of the adults and their responses are
reported in the following table.
Newspapers
Women 30
Men 50


TV
52
68


(a) What percentage of the adults are women?

(b) What percentage of the adults prefer TV?

Answers

Answer:

41% of adults are women.

60% of adults prefer TV.

Step-by-step explanation:

Women 30 Newspaper 52 TV 82 In Total so the percentage would be 82 out of 200 which would be 41 therefore 41% of adults are women.

TV scores 52 + 68 = 120 therefore 120 out 200 is the percentage of the adults that prefer TV 60 therefore 60% of the adults prefer TV.

The percentage of the adults prefer TV is 60%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a group of 200 adults were asked whether they prefer getting their news from newspapers or from TV.

Here,

                  Newspapers         TV

Women              30                 52

Men                   50                  68

Number of women =30+52

= 82

a) Percentage of the adults are women

= 82/200 ×100

= 41%

b) Percentage of the adults prefer TV

Number of adults watch TV = 52+68

= 120

Here, 120/200 ×100

= 60%

Therefore, the percentage of the adults prefer TV is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

For all horizontal lines the range is

Answers

When you have a function where y equals a constant, your graph is a truly horizontal line,

In that case, the range is just that one and only value. No other possible values can come out of that function! Many other functions have limited ranges.

ADD the given the polynomials: (x + 2) + (8x + 4)

CHOOSE THE RIGHT ANSWER:

A] 9x + 6
B] 8x + 6
C] 7x + 6
D] 9x + 8

NEED SOLUTION PLS!

Answers

Answer:

the answer is 9x + 6 ......

Answer:

[tex] = > (x + 2) + (8x + 4)[/tex]

[tex] = > x + 2 + 8x + 4[/tex]

[tex] = > x + 8x + 2 + 4[/tex]

[tex] = > 9x + 6[/tex]

solve pls brainliest

Answers

Answer:

7

Step-by-step explanation:

To find what 1/8 of 56 is, we can multiply it by 1/8. This makes it 56/8. Dividing 56 by 8 gives 7.

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