A pharmaceutical company produces three kinds of cold formulas: A, B, and C. it takes 1.5 hours to produce 1000 bottles of the Formula A, 2 hours to produce 1000 bottles of formula B. and 3 hours to produce 1000 n=bottles of formula C. The profits for each 1000 of Formula A, formula B, and Formula C is $100, $150, and $210, respectively. Suppose that for a certain production run. There are enough ingredients on hand to make at most 7000 bottles of formula A, 14000 of formula B, and 3000 bottles of formula C. Furthermore, suppose the time for the production run is limited to a maximum of 50 hours. They want to maximize their profit, P. in dollars. Which of the following is the correct objective function?

a. z= 100.11 + 150.x2 + 210x3
b. z =1000x1 + 1000x2 + 1000x3
c. z=700.01 + 14000x2 + 3000x3
d. z= 1.5x1+ 2x2 + 3x3

Answers

Answer 1

Answer:

z = 100*x₁  + 150*x₂  +  210*x₃

Step-by-step explanation:

Lyric a looks like there is a typing error in the first term ( 100.11 ) .

the right is 100*x₁


Related Questions

what is matter and it function​

Answers

Answer:

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.

Step-by-step explanation:

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.

help ugent!
12 + 2 + 2 + 2 + 2 + 2 ^ 2=

Answers

[tex]24.[/tex]

Step-by-step explanation:

[tex]12 + 2 = 14.[/tex]

[tex]14 + 2 = 16.[/tex]

[tex]16 + 2 = 18.[/tex]

[tex]18 + 2 = 20.[/tex]

[tex]20 + {2}^{2} = 24.[/tex]

Note:- 2² = 2×2 = 4. So, 2² = 4.

Answer:

24

make sure you calculate the answer next time!

Help me plz I did the first problem

Answers

Answer:

b. 30 > 2d

   15 > d

c. 15/f < 5

   15 < 5f

   5 < f

d. 42 [tex]\leq[/tex] 50 - m

   42 + m [tex]\leq[/tex] 50

   m [tex]\leq[/tex] 8

Accounting
A company borrowed $68000 on September 1st, 2020. Principle and interest at 12% will be paid on August 31, No accrual was made for interest in 2020. What is the adjustment for interest.

Answers

Answer: $2,720

Step-by-step explanation:

Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.

In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:

Total interest = 12% * 68,000

= $8,160

Monthly rate is:

= 8,160 / 12 months

= $680

There are 4 months in 2020 so the interest for 2020 is:

= 680 * 4

= $2,720

a length of 25 meters.cindy cut the string in 4 pieces of equal length.how was each piece​

Answers

Answer:

6.25 meters

Step-by-step explanation:

25/4 = 6.25

Length of each cut piece is 6.25 m.

What is division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given

A length of 25 meters cut the string in 4 pieces of equal length.

= [tex]\frac{25}{4}[/tex]

= 6.25

Length of each cut piece is 6.25 m.

Find more information about division here

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What is Limit of g (x) as x approaches 1, if it exists?
0
7,000,000
700,000,000
DNE

Answers

Answer:

7,000,000

Step-by-step explanation:

Limit of a function:

The limit of a function is finding looking at it's lateral limits.

If the lateral limits are equal:

The limit exists.

[tex]\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^{+}} f(x) = \lim_{x \rightarrow a^{-}} f(x)[/tex]

If lateral limits are different:

That is:

[tex]\lim_{x \rightarrow a^{+}} f(x) \neq \lim_{x \rightarrow a^{-}} f(x)[/tex], then the limit does not exist.

In this question:

To the left of 1, that is, 0.9999....

[tex]\lim_{x \rightarrow 1^{-}} g(x) = 7,000,000[/tex]

To the right of 1, that is, 1.0001...

[tex]\lim_{x \rightarrow 1^{+}} g(x) = 7,000,000[/tex]

Since the both limits are the same, the limits exists and it's value is of  7,000,000.

Answer:

D

Step-by-step explanation:

It shows it in the quwestions image


Indra completed 85% of a Multiple Choice Test in Science. She has 3
questions to complete.
(a) How many questions are there in the test?

Answers

Answer:

20 questions

Step-by-step explanation:

There is 15% of the test left and 3 questions

15/3 = 5

85/5 = 17

17+ 3 = 20

4
3
3
2+
-4
-3
-2 -1
1
1
2
3
4
-1+
-2+
-3
-4
What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

rises 2 units and east 3 units

rise / run = 2 / 3

Ajay has equal numbers of rock songs and pop songs loaded on his personal music player. He has it set to play songs plz helpp...on a random shuffle. Suppose Ajay is designing a simulation that could be used to estimate the probability that the next three songs to play are all alternative rock songs.

Which simulation design could Ajay use to estimate the probability?

O A. Random digits Let 1, 2, 3, 4,5rock Let 6,7,8,9,0 pop Select three rondom digits. Repeat

O B. Number cube Let 1,2 = rock Let 4,5 - pop Roll cube three times. Repeat

O C. Number cube Let 1 = rock Let 2 = pop Roll cube three times. Repeat

O D. Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat​

Answers

Option D. The simulation design that Ajay can use to estimate the probability would be Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat​.

How to find the simulation design

The number cube has being said to be made up of six digits. The digits are said to be assigned in pairs of three.

Hence we are going to have a case of 1/3. This is what can then be used to model the probability.

Read more on simulations here:

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What is the length of AC?

Answers

The length of AC 90°

Someone please explain!

Answers

I don’t think I can tbh

Answer:

Let the number of beads = x

Sum of the ratio = 11

a) fraction of yellow beads :

                              [tex]\frac{11}{15} \ of \ x \\[/tex]

b) given there are 75 beads , x =75

# of yellow beads =

                      [tex]\frac{11}{15}*75 = 55\\[/tex]

#of green beads =

                     [tex]\frac{4}{15} *75 = 20[/tex]

Number of green beads = 20

c) After adding more beads.

Given yellow beads = 3 times as many green = 3×20 = 60

Gabby added  more yellow beads.

evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2

Answers

Answer:

[tex]468in^{2}[/tex]

Step-by-step explanation:

L=12

W=9

H=6

2lw+2lh+2wh=468

Many think ts, "oh LWH" well actually lwh is volume

The brown paper required to wrap the package is 468 square inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The diagram shows the package that is cuboid in shape.

The dimensions of cuboid are

The length of the cuboid = 12 in

The wide of the cuboid = 9 in

The height of the cuboid = 6 in

The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,

[tex]A=2(lw+hl+hw)[/tex]

⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]

⇒ [tex]A=2[108+72+54][/tex]

⇒ [tex]A=2[234][/tex]

⇒ [tex]A=468[/tex]

Hence we can conclude that the brown paper required to wrap the package is 468 square inches.

Learn more about cuboid here

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What coordinates will remain the same? What coordinates will change to the opposite between the pre-- and post-image?

Answers

Answer:

Y values will stay the same

Step-by-step explanation:

Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged

-2c + 8 - 7c - 6 -5c + 14 -5c + 14 -9c + 2 -9c + 2 9c - 14 9c - 14 5c + 14 5c + 14

Answers

Answer:

= -152c + 32

Step-by-step explanation:

sry if wrong

Find the product of
(−9−11i) and its conjugate.

Answers

Answer:

202

Step-by-step explanation:

First, we can find the conjugate of (-9 -11i)

Given a complex number a + bi, the conjugate would be a - bi.

So, the conjugate of -9 -11i is -9 + 11i.

Now, we multiply!

(-9-11i)(-9+11i)

This resembles the special product (a+b)(a-b) which multiplies out to a^2 - b^2

To apply this we subtract the square of the second number from the first.

(-9)^2 - (11i)^2

81 - 121i^2

i^2 is -1, so we can substitute it in:

81 + 121 = 202

NO LINKS!!!! Find each measurement indicated. Round your answer to the nearest tenth. Part 2c​

Answers

9514 1404 393

Answer:

BC = 24.0AC = 26.0m∠B = 73.4°m∠B = 30.0°

Step-by-step explanation:

The law of sines tells you the ratio of sides is the same as the ratio of sines of their opposite angles.

This post has 2 kinds of problems.

1) 2 angles and the side between them are given.

2) 2 sides and the angle opposite the longest is given.

For the first type, you need to determine the missing angle (opposite the given side). That comes from the sum of angles of a triangle being 180°. Then you find the remaining sides using the ratio of sines.

For the second type, the angle opposite the shorter side is found using the ratio of sides to find the sine of that angle. Then the third side and third angle can be found using the ratio of sides to find the sine of the angle, and using the ratio of sines to find the missing side.

Straightforward, and tedious. For more than one, I like to use a spreadsheet to crunch the numbers.

_____

1) BC = 24.0

2) AC = 26.0

3) m∠B = 73.4°

4) m∠B = 30.0°

__

In the spreadsheet, the given values are in the first 3 columns. The 4th column is the first one calculated. As indicated above, the angle calculation for problems 1 and 2 uses the sum of angles relation. For problems 1 and 2, this is the angle opposite the given side. The "first side" is the side opposite the "first angle". c = b·sin(C)/sin(B), for example.

For problems 3 and 4, the first unknown angle is the one opposite the "short side", which is the shorter of the given sides. As it happens, this is the side that is asked for in the question. B = arcsin(c·sin(B)/sin(C))

_____

Additional comment

In a spreadsheet, angles are presumed to be in radians for all of the trig functions. We use the DEGREES( ) and RADIANS( ) functions to convert as appropriate.

help what's 1x1+9x20​

Answers

Answer:

The answer is 181

Step-by-step explanation:

PEDMAS

1 x 1 + 9 x 20

1 x 1 = 1

1 + 9 x 20

9 x 20= 180

1+180

which equals 181

Answer:

181

Step-by-step explanation:1x1=1 9x20=180+1=181

Thats your answer my fellow brains

A film on TV starts at 8:30 pm. If the film takes 136 minutes, at
what time does it end?

Answers

Answer:

10:46

Step-by-step explanation:

8:30 + 136 min.

= 8:30 + 2:16

= 10:46

If P = (5,4), find the image
of P under the following rotation.
180° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.

Answers

Answer:

[tex](-5,-4)[/tex]

Step-by-step explanation:

Given

[tex]P = (5,4)[/tex]

Rotation: 180 degrees counterclockwise

Required

P'

Rotation: 180 degrees counterclockwise

The rule is:

[tex](x,y) \to (-x,-y)[/tex]

So: [tex]P = (5,4)[/tex] becomes

[tex](5,4) \to (-5,-4)[/tex]

Q8. How many solutions does the system of equations have?

Answers

Answer:

it would be the first answer

Step-by-step explanation:

a solution is where the lines meet, and the coorinate is (1,4)

the answer would b A !


Which graph represents the equation y=-
--*x+3?
B)
t

Answers

Answer:

The correct answer would be the 3rd graph!

Hope this helps!

id also appreciate help on this one ^^

Answers

Answer:

The area of the given figure is 87.55 cm square.

Nootmath How can you tell a graph of an exponential represents decay?

Answers

Answer:

Step-by-step explanation:

The population of Nowhere, USA was estimated to be 665,200 in 2004, with an expected increase of 1.9 % per year. At the percent of increase
given what was the expected population in 2005? Round your answer to the nearest whole number.

Answers

Answer:

677838 people

Step-by-step explanation:

1.9 percent of 665200 is 12638

665200+12638=677838

8

4

A gold bar is similar in shape to a rectangular prism. A gold bar is

7 1

approximately 7 in.x3 in.x1 in. If the value of gold is $1,214 per ounce,

about how much is one gold bar worth? Use the formula w 11.15n, where w

is the weight in ounces and n=volume in cubic inches, to find the weight in

ounces. Explain how you found your answer.

Answers

Answer:

[tex]Worth = \$284258.1[/tex]

Step-by-step explanation:

Given

[tex]Dimension: 7in\ * 3in\ * 1in[/tex]

[tex]Value = \$1214/oz[/tex] ---- value of Gold

Required

The worth of 1 gold bar

First, calculate the volume (n) of the gold bar

[tex]n = 7in * 3in * 1in[/tex]

[tex]n = 21in^3[/tex]

Next, calculate the weight of the gold bar using:

[tex]w = 11.15n[/tex]

[tex]w = 11.15 * 21[/tex]

[tex]w = 234.15oz[/tex]

Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.

[tex]Worth =Value * w[/tex]

This gives:

[tex]Worth = \$1214/oz * 234.15oz[/tex]

[tex]Worth = \$1214 * 234.15[/tex]

[tex]Worth = \$284258.1[/tex]

Write the algebraic expression: 4p times the sum of 7 and 5p​

Answers

Answer:

4p(7 + 5p)

Step-by-step explanation:

4p times the sum of 7 and 5p​

4p(7 + 5p)

What ratio/s are equivalent to the following ratio: 6:8
a 3:4 b 12:16. с 18:24 d 30:40​

Answers

Answer:

a. 3/4

Step-by-step explanation:

6:8

=6/8

=3/4

Hope it Helps

Find the length of missing side BC and AC.


Best answer gets brainliest!!!

Answers

Answer:

b = 7.56

C = 9.24

Step-by-step explanation:

Find the last angle of the triangle.

The sum of all the angles in a triangle is  

180 degrees.

A+

90+55=180

A=35

Then find c

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(B)=adj/hyp or Cos(55) = 5.3 / c

re write as

C = 5.3 / cos55

This gives you c = 9.24

Then use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]

I'm a bit confused about this, can anyone help? Giving 69 points to whoever answers by 12:30 PM (PST)!!

Find the area of the polygon:

Answers

Answer: i can give you tips of how to find the area of a polygon.

OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

Step-by-step explanation:

And you have to add all the sides of the lengths of the sum of the polygon

A dry cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 15 spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject thenull hypothesis that p= 0.7; otherwise, we conclude that p > 0.7.

Required:
a. Evaluate α, assuming that p = 0 .7.
b. Evaluate β for the alternative p = 0.9.

Answers

Answer:

α = 1 - 0,915 = 0.085

β = 0.314

Step-by-step explanation:

Dry cleasning clain that spot remover will remove the 70% of spot. The claim support the spot and chose at random.

Null hypothesis:

H0 : p = 0.7

If 11 of spot are removed then hypothesis rejected.

If 11 spots are not removed then hypothesis accepted

H1 : p >0/7

X is the number of spot and binomial random variable.

For a)

The probability of committing the type 1 error use alpha such as

α = P ( type I error)

where X > 10

and p = 0.7

for the given values where n = 12 and r = 10 and p - 0.7

we get

α = 1 - 0,915 = 0.085

b)

The nonrejection of the hypothesis where type II error is false .

The hypothesis for this is 0.9

This is Type II error

β = P ( type II error) = P ( X <= 10 where p = 0.9 )

Where n = 12 , r = 10 and p = 0.9

then

β = 0.314

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