A company produces three different types of wrenches: W111, W222, and W333. It has a firm order for 2,000 W111 wrenches, 3,750 W222 wrenches, and 1,700 W333 wrenches. Between now and the order delivery date, the company has only 16,500 fabrication hours and 1,600 inspection hours. The time that each wrench requires in each department is shown below. Also shown are the costs to manufacture the wrenches in-house and the costs to outsource them. For labeling considerations, the company wants to manufacture in-house at least 60% of each type of wrench that will be shipped.

Wrench Fabrication Hours Inspection Hours In-House Cost Outsource Cost
W111 2.5 0.25 $17.00 $20.40
W222 3.4 0.3 $19.00 $21.85
W333 3.8 0.45 $23.00 $25.76

Required:
a. How many wrenches of each type should be made in-house and how many should be outsourced?
b. What will be the total cost to satisfy the order?

Answer:

B

Step-by-step explanation:

$970+$2436= $3,406

the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)

Answer:

A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. In this case, (3, 2) is the only solution.

Step-by-step explanation:

Answer:

22 hamburgers

Step-by-step explanation:

number of well-done hamburgers = total hamburgers sold x percent of well-done hamburgers

40 x 0.55 = 22

Step-by-step explanation:

you got this i believe in you

9514 1404 393

Answer:

Step-by-step explanation:

The midsegment (x) has a length that is the average of the base lengths:

  x = (48 +32)/2 = 80/2

  x = 40

__

The end angles are supplementary:

  y° = 180° -112° = 68°

  y = 68

__

  z° = 180° -52° = 128°

  z = 128

Answer:

A. 45h = 1,575

Step-by-step explanation:

Area of trapezoid = 1,575 cm² (given)

We are given the length of both bases, a = 63 cm and b = 27 cm

We need to find the formula that will enable us determine its height (h).

Thus:

Area of trapezoid = ½(a + b)h

Plug in the values

½(63 + 27)h = 1,575

½(90)h = 1,575

45h = 1,575

The answer is A. 45h = 1,575

Answer:

Letter A

Step-by-step explanation:

Just think: which number would have the greatest value if it was rounded to the nearest hundredth

Answer: A

Step-by-step explanation:

I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)

Hope This Helps!

Answer:

37 8/8

Step-by-step explanation:

Answer:

7x-1/22 = 3x+1/10

Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.

The LCM of 22 and 10 is 110

So

110 x(7x-1/22) = 110 x (3x+1/10)

110/22 =5

110/10 = 11

So the eqn now becomes

5(7x-1) = 11(3x+1)

Opening the parentheses

35x - 5 = 33x + 11

Collect Like Terms

35x - 33x = 11 + 5

2x = 16

x= 8.

Answer:

KLL

Step-by-step explanation:

6=24

hope that help!!!!!!!!!!!!!!!!!!

9514 1404 393

Answer:

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

__

Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

__

Alternate interior angles are congruent, so ...

  y° = 40°

Answer:

11 degrees

Step-by-step explanation:

Vertical angles (opposite angles made by two intersecting lines) have the same measure.

35 is the sum of the first five triangular numbers, making it a tetrahedral number. 35 is the number of ways that three things can be selected from a set of seven unique things also known as the "combination of seven things taken three at a time". ... 35 is the highest number one can count to on one's fingers using base 6.

Answer:

27.91 pretzels.

Step-by-step explanation:

Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

89 / 2.5 / 11 = X

35.6 / 11 = X

3.236 = X

3/4 = 0.75

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer:

C

Step-by-step explanation:

im decently sure but dont rely on this answer

Answer:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 2x - 2[/tex]

[tex]x = \{x|-3,-2,1,5\}[/tex]

Required

The range using set notation

We have:

[tex]g(x) = 2x - 2[/tex]

When [tex]x = -3[/tex]

[tex]g(-3) = 2*-3 - 2 = -8[/tex]

When [tex]x = -2[/tex]

[tex]g(-2) = 2*-2 - 2 = -6[/tex]

When [tex]x = 1[/tex]

[tex]g(1) = 2*1 - 2 =0[/tex]

When [tex]x=5[/tex]

[tex]g(5) = 2*5 - 2 =8[/tex]

So, we have:

[tex]y = -8,-6,0,8[/tex]

Using set notation, the range is:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

Answer:

y-intercept is at (0,3)

Step-by-step explanation:

Answer:

you have 351 's mommy left.

Answer:

351 Mommies are left.

Step-by-step explanation:

420-69=351.

hope it helps

Answer:

11x+2y

Step-by-step explanation:

Answer:

I think it is J if not it may be H if they are both wrong i am so so sorry

Step-by-step explanation:

Answer:

12 because 108/12 is 9

Step-by-step explanation:

3^2=9

The common ratio of the geometric sequence whose first term 3 and third term 108 is ±6.

A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Here, first term a = 3 ......(i)

third term a₃ = ar² = 108 .......(ii)

On dividing equation (ii) from equation (i), we get

[tex]\frac{ar^{2} }{a} = \frac{108}{3}[/tex]

r² = 36

r = ±6

Thus, the common ratio of the geometric sequence whose first term 3 and third term 108 is ±6.

Learn more about Geometric Sequence from:

https://brainly.com/question/11266123

#SPJ2

Answer:

263.76in^2

Step-by-step explanation:

210/360*3.14*12*12

7*3.14*12

263.76

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Answer:

  (x, y) = (-2, 7)

Step-by-step explanation:

Add the first equation to twice the second.

  (4x +4y) +2(2x -2y) = (20) +2(-18)

  8x = -16 . . . . . . simplify

  x = -2 . . . . . . . . divide by 8

__

  2(-2) -2y = -18 . . . . .substitute into the second equation

  y + 2 = 9 . . . . . . . . . divide by -2

  y = 7 . . . . . . . . . . . subtract 2

The solution is (x, y) = (-2, 7).

Answer:

[tex] m =\dfrac{-5}{7}[/tex]

Step-by-step explanation:

Given :-

And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,

[tex]\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}[/tex]

[tex]\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7} [/tex]

Hence the slope of the line is -5/7 .

Answer:

20

Step-by-step explanation:

if a hungry elf ate all 20 of your muffins then technically you only had 20 to start with.

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is [tex]V=1592\ m^3[/tex]

The density of the helium is [tex]\rho =0.1785\ kg/m^3[/tex]

Mass of the helium gas is given by the product of density and volume

[tex]\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg[/tex]

Thus, the mass of gas is 285.2 kg