A print shop at a community college in Cupertino, California, employs two different contractors to maintain its copying machines. The print shop needs to have 12 IBM, 18 Xerox, and 20 Canon copying machines serviced. Contractor A can repair 2 IBM, 1 Xerox, and 2 Canon machines at a cost of $800 per month, while Contractor B can repair 1 IBM, 3 Xerox, and 2 Canon machines at a cost of $1000 per month. What is the minimum cost to employ the contractors? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.

Answers

Answer 1

The cost to employ the contractors is $11250

The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.

Moreover, to determine the cost to employ the contractors, we need to determine their total wage:

Contractor A:  $800 (Includes the repairment of 2 IBM, 1 Xerox, and 2 Canon machines).Contractor B: $1000 (Includes the repairment of 1 IBM,  3 Xerox, and 2 Canon machines.

Total: $1800 to repair 3 IBM, 4 Xerox, and 4 Canon machinesTotal machines to be repaired: 12 IBM, 18 Xerox, 20 Canon machines.

Now, for all the machines to be repaired you will need to pay a total of $9000

$1800 x 5 = $ 9000 (Includes the repairment of 15 IBM, 20 Xerox, and 20 Canon machines, which will cover all the machines you need).

Finally, let's find out the cost using the minimum rate.

$9000 x 1.25 = $11,250

Learn more about general cost in: https://brainly.com/question/3902215

Answer 2

Answer:

$8800

Step-by-step explanation:

Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by

C(x,y)=800x+1000y

The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.

2x+y≥12

The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.

x+3y≥18

The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.

2x+2y≥20

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=800x+1000y

Subject to: 2x+y≥12

x+3y≥18

2x+2y≥20

x≥0

y≥0

The corner points are:

(0,12),(18,0),(2,8),(6,4)

The point (6,4) gives lowest cost: $8800


Related Questions

what is10 + 9

i really dont know

can someone help me

Answers

[tex] \huge \green{ \boxed{ANSWER}}[/tex]

[tex]10 \: + \: 9 \: = {\boxed{19}}[/tex]

USE CALCULATOR -_-

[tex] \mathfrak{JazmineChoi}[/tex]

STAN TREASURE

Answer:

19

Step-by-step explanation: 10 +9 = 19

Write the following equations.

Answers

Answer:

Step-by-step explanation:

4.  2x + 1 = 17

5.  x-13 = 94

6.  x/2 = 7

7.  5x = 35

8.  x + 43 = 84

9.  x-18 = 36

10.  x = 8y

11.  x = y - 5

12.  x + (x+1) + (x+2) = 18

13.  x = y + 4

14.  2x + 8 = 24

find x and y for this triangle

Answers

Answer:

x = 1.25

x = 1.75

Step-by-step explanation:

I marked the points of this triangle in the attached image so it's easier to explain.

ΔABC is similar to ΔADE, and all pairs of corresponding sides are proportional as a result.

[tex]\frac{DE}{BC}=\frac{AD}{AB}=\frac{AE}{AC}[/tex]

The length of the sides BC and DE is given, so I'll start with that and set it equal to the proportion between AB and AD.

[tex]\frac{DE}{BC}=\frac{AD}{AB}\\\\\frac{10}{8}=\frac{x+5}{5}\\\\10\times5=(x+5)\times8\\50=8x+40\\10=8x\\x=1.25[/tex]

Now, you can do the exact same thing for y:

[tex]\frac{DE}{BC}=\frac{AE}{AC}\\\\\frac{10}{8}=\frac{y+7}{7}\\\\10\times7=(y+7)\times8\\70=8y+56\\14=8y\\y=1.75[/tex]

consider the equation n=2/5m-30 for what value of m is n equal to 50?

Answers

Answer:

m = 200

Step-by-step explanation:

Substitute n = 50 in the equation

         n = 2/5m - 30

       50 = 2/5m - 30

50 + 30 = 2/5m

       80 = 2/5m

         m = 80 ÷ 2/5

         m = 200

What is the equation of the line that passes through the point (-6, -6) and has a
slope of -1/3?

Answers

Answer:

Step-by-step explanation:

Let's find an equation by starting with the slope intercept form:

y = mx + b

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope, so:

y = -(1/3)x + b

Now we need to find a value for b that will force the line to go through point (-6,-6).  We can determine by putting the point (-6,-6) into the equation and solving for b:

y = -(1/3)x + b

-6 = -(1/3)(-6) + b   [Enter the point (-6,-6]

-6 = 2 + b

b = - 8

The equation becomes y = -(1/3)x - 8.

See the attachment.

after buying one bottle caps for 27.70 richard has 19.15 left how much money did richard have to begin with???

Answers

Answer:

46.85

Step-by-step explanation:

He had $46.85 to begin with, because 27.70 + 19.15 is equal to 46.85

Problem 1: Solution to the system of equations
A line is parallel to the line for the equation: -9y = 2x + 35.
What is the slope of the parallel line?

Answers

Answer:

-2/9

Step-by-step explanation:

if the line is parallel it has the same slope.

The equation can be written as y = -2/9x - 35/9

so the slope is -2/9

Y=mx+b
mx= slope
b= y intercept

You guys are awesome with these questions I'm really struggling with this one p[lease help me out.

Answers

Try 12.

Hope it helps?

Answer:

12

Step-by-step explanation:

12 x 4 = 48

48 + 9 = 57

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.

Answers

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].

Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

100 points !!!!!1 Drag the answers to match the inequality and the situation it represents. c<10 c>10 c<20 c>20

Answers

Hi!

c < 10

This means that c is less than 10. Any number smaller than 10 works, such as 7, -4, 5.6.

c > 10

This means that c is greater than 10. Any number greater than 10 works, such as 12, 58, 10.9.

c < 20

This means that c is less than 20. Any number smaller than 20 works, such as 6, -2, 19.7.

c > 20

This means that c is greater than 20. Any number greater than 20 works, such as 21, 74, 20.5.

Hope this helps! Have a great day :D

Answer:

here are the answers

Step-by-step explanation:

yesterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?

Answers

Answer:

6

Step-by-step explanation:

5% of 120 were late

= [tex]\frac{5}{100}[/tex] × 120

= 0.05 × 120

= 6

Complete the equation of the line through (-1,6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,-2)(7,−2)left parenthesis, 7, comma, minus, 2, right parenthesis.

Answers

Answer:

Your answer would be y= -x + 5

Step-by-step explanation:

Hope I helped!

Answer:

-x+5

Step-by-step explanation:

khan told me ;p

Please help me with this math problem!! :)

Answers

Answer:

16.67%, 50%, 16.67%

Step-by-step explanation:

There are 6 different ways that the 4 kids can be paired up, so any one of the ways is rounded to 16.67%. So a and c are 16.67%

Not Zack is any pairing that doesn't have a Z. That is 3 out of 6, which is 50%.

Given −7 is one of the roots of the quadratic equation
(x + k)2 = 16, where k is a constant, find the values of k.

Answers

Answer:

  k = {3, 11}

Step-by-step explanation:

Taking the square root of the given equation, we find ...

  x +k = ±4

For x = -7, this is ...

  -7 +k = ±4

  k = 7 ±4 = {3, 11}

Possible values of k are 3 and 11.

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

Taking square root on the both sides of equation (x + k)² = 16 we get,

[tex]\implies\rm{( {x + k)}^{2} } = 16[/tex]

[tex]\implies\rm{x + k = ± 4}[/tex]

Making two conditions for ± 4 i.e

1) x + k = 4

[tex]\implies\rm{ - 7 + k = 4}[/tex]

[tex]\implies\rm{k = 4 + 7}[/tex]

[tex]\implies\rm{k = 11}[/tex]

2) x + k = -4

[tex]\implies\rm{ - 7 + k = - 4}[/tex]

[tex]\implies\rm{k = - 4 + 7}[/tex]

[tex]\implies\rm{k = 3}[/tex]

Thus the values of k can be either 11 or 3.

Find the value of x.

Answers

Answer:

x = 19

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7) = 180

5x+4+x-2+3x+7 = 180

9x+9 = 180

9x = 171

x = 171/9

x = 19

X=19 hope this helps

rectangle A and B are identical. each has a perimeter of 40cm. they are put together to make a new rectangle. the perimeter of the new rectangle is 68cm. work out the length and width of rectangle A.

Answers

Answer:

  6 cm by 14 cm

Step-by-step explanation:

The perimeter of the joined figure will be the sum of the perimeters of rectangles A and B, less the lengths of the sides that are joined. The two joined sides have a total length of ...

  (40 cm) +(40 cm) -(68 cm) = 12 cm

Then the length of the joined sides is 6 cm. The length of the other side of the rectangle is the difference between half the perimeter and this, or ...

  (40 cm)/2 -6 cm = 14 cm

The length and width of rectangles A and B are 14 cm and 6 cm. When put together, they are joined on the 6 cm side.

∣ x + 1 − x 2 ∣ = 2 ( 2 x 2 − 1 )=

Answers

Answer:

X = 7

Step-by-step explanation:

∣ x + 1 − x 2 ∣ = 6

∣ -x + 1 ∣ = 6

-7 + 1 = -6

Absolute value of -6 is 6

x = 7

The value of x for the expression is equal to 7.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of x is solved as,

∣ x + 1 − x 2 ∣ = 6

∣ -x + 1 ∣ = 6

-7 + 1 = -6

The absolute value of -6 is 6

x = 7

Therefore, the value of x for the expression is equal to 7.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

PLEASE HELP ME!!!

Maggie's brother is 7 years younger than four times her age. The sum of their ages is 68.
How old is Maggie?

Answers

Answer:  15 years old

=============================================

Explanation:

m = Maggie's age (some positive whole number)

4m = four times her age

4m-7 = seven years younger than 4m = brother's age

Add up her age (m) and her brother's age (4m-7) to get a sum of 68.

m+(4m-7) = 68

5m-7 = 68

5m = 68+7

5m = 75

m = 75/5

m = 15

Maggie is currently 15 years old.

Her brother is currently 4m-7 = 4*15-7 = 60-7 = 53 years old.

Their current year ages add to: 15+53 = 68 which confirms the answer.

Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.

Which family is farther from the marina? Explain your reasoning.

Answers

Answer:

A

Step-by-step explanation:

We can solve this by drawing it out

Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.

2 1/5 liters of water and 1 1/3 liters of juice are used for a team breakfast,
How many liters of drink were used for the breakfast?
Enter your answer as a mixed number in simplest form by filling in the boxos,

Answers

Answer:

3 8/15

Step-by-step explanation:

2 1/5 + 1 1/3 = 3 8/15

PLEASE HELP SOMEBODY!!!!!!!!!! I uploaded a picture below.

Answers

Yes the answer above is correct 16!

The table shows a function. Is the function linear or nonlinear?

Answers

Answer:

nonlinear

Step-by-step explanation:

A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?

Answers

Answer:

3,052 cubic inches

Step-by-step explanation:

·· A beach ball has a spherical shape

·· Formula to calculate the volume of a sphere is given as:  

In the question, we are given

Diameter = 18 inches

We have to find the radius

Radius = Diameter/2

Radius = 18 inches/2

Radius = 9 inches

The volume of the beach ball =  

= 3,052.08 cubic inches

Approximately to the nearest whole number = 3,052 cubic inches

I need help on this question

Answers

Answers : A and D

Step - by - step explanation :

tip : when finding constant of proportionality it's always Y divided by X

A = what is 22.5 divided by 3 ?  7.5 ( now multiply 7.5 by the next X [ 4 ] )

what is 7.5 x 4 ?  30 ( and since on the graph it also says 30 then you can assume this one has a proportional relationship )

B = what is 12 divided by 3 ?  4 ( now multiply 4 by the next X [ 5 ] )

what is 4 x 5 ?  20 ( and because the graph says 25 then you know it's NOT a proportional relationship )

C = what is 8.5 divided by 2 ?  4.25 ( now multiply 4.25 by the next X [ 5 ] )

what is 4.25 x 5 ?  21.25 ( and because the graph says 22.5 then you know it's NOT a proportional relationship )

D = what is 10 divided by 2 ?  5 ( now multiply 5 by the next X [ 3 ] )

what is 5 x 3 ?  15 ( and since on the graph it also says 15 then you can assume this one has a proportional relationship )

( sorry it took me so long to write this )

WILL GIVE BRAINLIEST

y = 2x - 9


y = 1/2x + 3

These two lines are:
parallel
perpendicular
neither

Answers

Answer:

neither

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 9 ← is in slope- intercept form

with slope m = 2

y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

2 ≠ [tex]\frac{1}{2}[/tex] , then lines are not parallel

2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1, then lines are not perpendicular

Determine the slope of the line. what does it represent about the plant?

Answers

Answer: slope is 2/3

Step-by-step explanation:

Select the correct answer.

Which expression in factored form is equivalent to this expression?

Answers

what is the expression?

HELPPPP The volume for the above figure is
A. 7297 cm3
B. 817 cm2
C. 486 cm3
D. none
of the above

Answers

D) none of the above

Mr. Williams drew the following image on the board and asked his students to write a sequence of steps explaining how to construct a line which passes through point C and is perpendicular to line AB. The work of two students, Elias and Greyson, is shown.

Answers

.shown is, Greyson and Elias, students two.

Answer:

both Elias and Greyson

Step-by-step explanation:

Put the numbers in order from least to greatest.
39% , 0.42 , 11/25

Answers

Answer:

39%, 0.42, 11/25

Step-by-step explanation:

First, let's convert the percentage and the fraction into decimals, to make out lives so much easier.

39% = 0.39

11/25 = 0.44

Now, we reorder.

0.39, 0.42, 0.44

Finally, we convert the percentage and the fraction back into their original forms, and adjust the order.

39%, 0.42, 11/25

-hope it helps

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