Your friend has a fabulous recipe for salsa, and he wants to start packing it up and selling it. He can rent the back room of a local restaurant any time he wants, complete with their equipment, for $100 per time. It costs him $2 a jar for the materials (ingredients for the salsa, jars, labels, cartons) and labor (you and a couple of friends of his) for each jar he makes. He can sell 12,000 jars of salsa each year (I told you it was a fabulous recipe!), with a constant demand (that is, it's not seasonal; it doesn't vary from week to week or month to month). It costs him $1 a year per jar to store the salsa in the warehouse he ships from. He wants to find the number of jars he should produce in each run in order to minimize his production and storage costs, assuming he'll produce 12,000 jars of salsa each year.

Your friend wants to find the number of jars he should produce in each run in order to minimize his production and storage costs, assuming he'll produce 12,000 jars of salsa each year.

Answers

Answer 1
each run costs him 100 dollars
he sells 12000 every year, so 12000*2=24000
and also, each jar cost 1 dollar to store, so an additional 12000
12000+24000=36000

so he wil defenitely spend 36000 on the salsa alone
the only dependent variable is how much he spends on the rent
he can minimize this by making all 12000 jars in 1 run (wow!)
resulting in a cost of $36100
that is minimum cost
you could just do it in your dorm room or your parents' house
Answer 2

The EOQ formula takes into account the demand, setup cost, and holding cost per unit is 154.91 by calculating the EOQ, that identify the batch size that results in the most cost-efficient production and storage.

Given that:

 demand is 12,000 jars, setup cost is $100 per run, and holding cost per unit is $1 per jar per year.

To determine the number of jars to produce in each run,  uses the Economic Order Quantity (EOQ) formula.

The Economic Order Quantity (EOQ) formula is given by:

EOQ =[tex]\sqrt{[/tex][(2 * Demand * Setup cost) / Holding cost per unit].

By substituting these values into the formula:

EQR = [tex]\sqrt{\frac{2\times1200\times10}{1} }[/tex]

On multiplying gives:

EQR = [tex]\sqrt{{24000}}[/tex]\

Take square root on both sides:

EQR = 154.91

The EOQ formula takes into account the demand, setup cost, and holding cost per unit is 154.91 by calculating the EOQ, that can identify the batch size that results in the most cost-efficient production and storage.

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Related Questions

The temperature decreased overnight by 15.2°C to a temperature of –12.8°C. Suppose t represents the temperature before it decreased.

Which equation can be used to represent this situation?

A.
t – 15.2 = –12.8

B.
t + 12.8 = –15.2

C.
t – 12.8 = 15.2

D.
t – (–15.2) = –12.8

Answers

A. initially or was that them it decreased by 15.2 and then it equaled -12.8

Answer:

12.8

Step-by-step explanation:

In a fraternity with 37 members,18 take math 5 take both math and chemistry and 8 take neither math nor chemistry. How many take chemistry but not math

Answers

you can set up a few fractions to represent the members.

(18/37) take math
(5/37) take math and chem
(8/37) take neither

assuming that the remaining members take chemistry only, you can find that by adding all of these fractions: 8 + 5 + 18 = 31, so 31/37 students fall into the listed categories (math only, chem and math, neither). there are 6 members remaining that would take chemistry only.

Answer:

its 11 members

Step-by-step explanation:

if 2x -3 = 5 then x = ?

Answers

2 x 4= 8-3= 5    
you can ask me more

x=4
 first u do +3 to both sides
+3-3=0
5+3=8
then you do the opposite operation whiich is in this case dividing
8/2=4 so x=4
 

3/7×4 find the product in simplest form

Answers

it cant simplest form
it would be 9.3333333337

Population of the world was 5.7 billion in 1995 and the observed growth rate was 2% per year. By what year will the population triple?

Answers

f(t) = a(1.02)t 11.4 = 5.7(1.02)t2 = 1.02tln 2 ≈ t ln 1.020.693 ≈ 0.0198 t35 = t

what is 3400 as a decimal answer asap

Answers

Just add a decimal (.) to it follow by zeroes:

3400.00
That is true it would just be 3400.00

a stereo is marked down $75. If this is a 15% decrease find the sale price. How do you work this problem out?

Answers

You can do a proportion: 75/15 = x/100
you then do 100x75 and the divide by 15 and get 500. 
15% of $500 is $75 so the sale price would be $425 I believe. 

Answer:

The selling price is $425.

Step-by-step explanation:

Given information:

Marked down price = $75

15% decrease = $75

Let x be the market price.

[tex]x\times \frac{15}{100}=75[/tex]

[tex]0.15x=75[/tex]

Divide both sides by 0.15.

[tex]x=500[/tex]

The market price is $500.

Selling price = Market price - Marked down

Selling price = $500 - $75

Selling price = $425

Therefore, the selling price is $425.

Factor out the GCF from each term in the expression
3. 30w5 + 25w3
4. 3x(7x + 1) – 2(7x + 1)

Answers

factor each
30w^5=2*3*5*w*w*w*w*w
25w^3=5*5*w*w*w
gcf is 5*w*w*w

30w^5+25w^3=5w^3(6w^2)+5w^3(5)=5w^3(6w^2+5)



4.
7x+1 is factor
remember
ab+ac=a(b+c)
so
(7x+1)(3x)+(7x+1)(-2)=(7x+1)(3x-2)

suppose f(x)=33.3+1.4 log (x+1) models salinity of ocean water to depths of 1000 meters at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the salinity to the nearest hundredth when the depth is 785 meters

Answers

100.47 because: 33.3+1.4 =34.7
785+1=786
34.7log(786)=100.47

1/5+2/5=
3 4/6- 2 1/6=

5 1/4+ 2 1/4=
5 2/7-2 1/7=


please help

21 pts

Answers

Try going with these⬇

1) 3 over 5

2) 1 and 1 over 2

3) 7 and 1 over 2

4) 3 and 1 over 7

the speed of the stream is 4 mph. a boat travels 4 miles upstream in the same time it takes to travel 12 miles downstream. what is the speed of the boat in still water?

Answers

This is an RTD question. Here is a table based on the given information:
up/down . . . .rate . . . .time . . . .distance
upstream . . . . r-4 . . . . T . . . . 7
downstream . . . . r+4 . . . . T . . . .15
Now, rate x time = distance, so
time = distance / rate.
solve each for T and we get
T = (7/(r-4))
T = (15/(r+4))


set the times equal and we get
7%2F%28r-4%29+=+15%2F%28r%2B4%29
cross multiply to get
7r+%2B+28+=+15r+-+60
subtract 7r to get
28+=+8r+-+60
add 60 to both sides to get
88+=+8r
divide by 8 to get
r+=+8

"lucy owns a bakery in 2006 she sold pies for $9.50 each in 2010 she sold pies for $17.50. Find the rate of change for the price of a pie from 2006 to 2010"

Answers

Applying it's concept, it is found that the rate of change for the price of a pie from 2006 to 2010 is of $2 a year.

What is the rate of change?

It is given by the change in the output divided by the change in the input.

In this problem, in 4 years, from 2006 to 2010, the price increased $8, from $9.50 to $17.50. Hence, the rate of change is given by:

r = 8/4 = 2.

Thus, the rate of change for the price of a pie from 2006 to 2010 is of $2 a year.

More can be learned about the rate of change at https://brainly.com/question/24313700

Estimate each Quotient

1) 59,628 divide by 73
2) 361,245 divide by 58
3) 104,392 divide by 64

REALLY NEED IT! Thanks ;) also pls show work

Answers

Okay, through simple division I'll give you the long side of the work. Known as Long Division: [This may turn out unaligned correctly, but hopefully it works.]

Question 1:
~~~ [][]816.82 ~ Answer. ~ Estimate to 816.8 or 817.
73 / 59628
~~~ 596
~~~ 584 ~ 73 goes into 596 8 times, giving us 584. Subtract and carry.
~~~~ 122
~~~~ []73 ~ 73 goes into 122 1 time, giving us 73. Subtract and carry.
~~~~~ 498
~~~~~ 438 ~ 73 goes into 498 6 times, giving us 438. Subtract and add a 0.
~~~~~~ 600
~~~~~~ 584 ~ 73 goes into 600 8 times, giving us 584. Subtract and add a 0.
~~~~~~~ 160
~~~~~~~ 146 ~ 73 goes into 160 2 times, giving us 146. Finalize the answer.

Question 2:
~~~ [][]6228.35 ~ Answer. Estimate to 6,228.4 or 6,228.
58 / 361245
~~~ 361
~~~ 348 ~ 58 goes into 361 6 times, giving us 348. Subtract and carry.
~~~~ 132
~~~~ 116 ~ 58 goes into 132 2 times, giving us 116. Subtract and carry.
~~~~~ 164
~~~~~ 116 ~ 58 goes into 164 2 times, giving us 116. Subtract and carry.
~~~~~~ 485
~~~~~~ 464 ~ 58 goes into 485 8 times, giving us 464. Subtract and add 0.
~~~~~~~ 210
~~~~~~~ 174 ~ 58 goes into 210 3 times, giving us 174. Subtract and add 0.
~~~~~~~~ 340
~~~~~~~~ 290 ~ 58 goes into 340 5 times, giving us 290. Finalize the answer.

Question 3:
~~~ [][]1631.12 ~ Answer. Estimate to 1,631.1 or 1,631.
64 / 104392
~~~ 104
~~~~ 64 ~ 64 goes into 104 1 time, giving us 64. Subtract and carry.
~~~~ 403
~~~~ 384 ~ 64 goes into 403 6 times, giving us 384. Subtract and carry.
~~~~~ 199
~~~~~ 192 ~ 64 goes into 199 3 times, giving us 192. Subtract and carry.
~~~~~~~ 72
~~~~~~~ 64 ~ 64 goes into 72 1 time, giving us 64. Subtract and add 0.
~~~~~~~~ 80
~~~~~~~~ 64 ~ 64 goes into 80 1 time, giving us 64. Subtract and add 0.
~~~~~~~~ 160
~~~~~~~~ 128 ~ 64 goes into 160 2 times, giving us 128. Finalize the answer.

I hope that helps, have a great rest of your day! ^ ^
{-Ghostgate-}

Suppose a carpet for an 8ft by 12 ft room cost $500. How much would an 16 ft by 24ft cost

Answers

Final answer:

To determine the cost of carpeting for a room that is twice the length and width of another, calculate the cost per square foot of the smaller room and then multiply that by the area of the larger room.

Explanation:

The question is asking how much a carpet would cost for a room that is twice as long and twice as wide as an 8 ft by 12 ft room, given that the carpet for the smaller room costs $500.

To solve this, we first find the area of the smaller room, which is 8 ft multiplied by 12 ft, resulting in an area of 96 square feet.

The cost per square foot for the carpet is then $500 divided by 96 square feet, which equals approximately $5.21 per square foot.

Next, we calculate the area of the larger room.

Since both dimensions are doubled, the area will be 16 ft by 24 ft, which equals 384 square feet.

To find the cost for the larger room's carpet, we multiply the area of the larger room by the cost per square foot previously calculated.

Therefore, 384 square feet multiplied by $5.21 per square foot results in a cost of approximately $2,000 for the larger carpet.

A washer and dryer cost $600.00 combined. The cost of washer is 3 times more than dryer. What is cost of dryer?

Answers

1 washer = 3 dryers
1 washer + 1 dryer = 600
substitute the 1 washer with 3 dryers...
3 dryers + 1 dryer = 600
simplify...
4 dryers = 600
divide, and you get
1 dryer = 150

$150

show that, except for 2 and 5, every prime number can be expressed as 10k+1, 10k+3 10k+7, 10k+9, where k is an interger

Answers

10(6)+1=61
10(15)+3=153
10(4)+7=47
10(9)+9=99

this is true because when you multiply a number by 10 it will be an even number(2,4,6,8,etc...)...then when you add an odd number to that the number will turn odd(153,47,99,etc..)... and when you multiple integers they will always multiply to an even number 

A researcher is studying the effects of caffine on exam scores of college students. In this study what would be the population and sample of this research?

Answers

College Students because the population and sample research is all about the effect of caffeine in college students

You are building a chair. The plans call for 1/2 inch nails. Your nails are 3/4 inch long. Are your nails too long are too short

Answers

your nails are to long.
Final answer:

The plans call for 1/2 inch nails, but the nails you have are 3/4 inch. Therefore, your nails are too long.

Explanation:

The chair plans call for 1/2 inch nails, but the nails you have are 3/4 inch long. When comparing these lengths, you can see that 3/4 is greater than 1/2. Therefore, your nails are too long for what the plans call for.

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1 millimeter on the map represents 1 meter on the ground. What is the ratio

Answers

1mm:1m

since its just one to one, thats the ratio 

Y-intercept is 100 and slope is 5. Partner gave example: Younger brother had 100 small building blocks, but lost 5 of them every month since. What mistake did Partner make?

Answers

since he lost 5 every month, it should be that the slope is -5, not 5, he is not gaining 5 every month


yint is 100 and slope is -5 would be correct
b=-5m+100
b=number of blocks he has after m months

how do you turn a fraction into a whole number

Answers

Fractions that can be turned into a whole number are very easy to calculate, but turning one into a decimal is still simple. You divide the numerator by denominator for both instances.
if its 5/3, how many times can 3 go into 5 ( the answer is 1) thus u have 1 whole number and the remainder which is 2 divided by 3.

An election ballot asks voters to select four city commissioners from a group of
twelve candidates. In how many ways can this be​ done?

Answers

48 ways multiply choices by selection

0.04 divided by 1.68

Answers

0.04÷1.68 equals 1 over 42
The correct answer is 0.02380. Hope this helps.

Page 2
MATH SOLUTIONS
A fast food chain has a contest in which a card
with numbers on it is given to each customer who
makes a purchase. If some of the numbers on the
card add up to 100, then the customer wins $100.
You make a purchase and receive a card contain-
ing the numbers 72, 21, 15, 36, 69, 81, 9, 27, 42,
and 63.
Will you win $100?
Why or why not?

Answers

Final answer:

After examining possible combinations of the given numbers (72, 21, 15, 36, 69, 81, 9, 27, 42, and 63), we find no subset that adds up to exactly 100. The closest sum we can get is 99, which is not sufficient to win the prize. Hence, we will not win the $100.

Explanation:

To determine whether we will win the $100 by finding a combination of the given numbers that add up to 100, we should examine possible combinations. The provided numbers are 72, 21, 15, 36, 69, 81, 9, 27, 42, and 63.

Looking at these numbers, we can see if any subsets add to 100:

27 + 72 = 99 (close, but not exactly 100)63 + 36 = 99 (also close, but still not 100)21 + 15 + 9 + 27 + 27 = 99 (using 27 twice is not allowed, and it's still not exactly 100)

It becomes evident that combinations of the given numbers will either fall short of or exceed 100. The closest combinations we can make are 99, just one short of the required total, meaning we cannot win the $100 with the provided numbers on the card. Therefore, the answer is no; we will not win $100 as we cannot make a sum of exactly 100 using the numbers on the card.

My bathroom floor measures 3 feet by 3 feet. I can choose between a ceramic tile floor costing $3.75 per square foot or linoleum costing $32.99 per square yard. Which is cheaper, ceramic title floor or linoleum floor?

Answers

3 x 3 = 9 sq. feet
9 feet = 3 yards

Ceramic tile-
$3.75 x 9 = $33.75

Linoleum-
$32.99 x 3 = $98.97

I think the ceramic tile floor would have been cheaper, but hopefully if I did this wrong someone will correct it. Anyways I hope this helps✌️️.

After calculating the total costs, linoleum flooring for a 3 feet by 3 feet bathroom floor is cheaper at $32.99 compared to ceramic tile flooring which costs $33.75.

The student's question is about comparing the costs of two different types of flooring options: ceramic tile and linoleum. To determine which is cheaper, we need to calculate the total cost of each option for a bathroom floor that measures 3 feet by 3 feet.

First, for the ceramic tile option, we can calculate the area of the bathroom floor (which is length times width), giving us 3 feet × 3 feet = 9 square feet. Next, we multiply the area by the cost per square foot of the ceramic tile: 9 square feet × $3.75 per square foot = $33.75.

For the linoleum option, we need to convert the area of the floor from square feet to square yards because the linoleum is sold by the square yard. There are 9 square feet in a square yard, so the floor area in square yards is 9 square feet ÷ 9 square feet per square yard = 1 square yard. Therefore, the total cost for linoleum would be 1 square yard × $32.99 per square yard = $32.99.

Comparing the two totals, we can see that the cost of linoleum at $32.99 is cheaper than the ceramic tile option which costs $33.75.



1. The purpose of this exercise is to provide practice using the LINGO or Excel solvers. Find the values of X and Y that minimize the function

Min X 2 - 4X + Y 2 + 8Y + 20

Do not assume nonnegativity of the X and Y variables. Recall that by default LINGO assumes nonnegative variables. In order to allow the variables to take on negative values you can add

@FREE(X); @FREE(Y);

Alternatively, if you want LINGO to allow for negative values by default, in the LINGO menu select Options and then click General Solver, and then uncheck the Variables assumed nonnegative tab.





Answers

find the minmum value of x^2-4x+y^2+8y+20=?
we don't know what it's equal to, so we set it equal to ?, if you know that ? is, then input it
what we can do is try to convert it to a conic section
complete the squares

(x^2-4x)+(y^2+8y)+20=?
take 1/2 of linear coefient and square it and add negative and positive insde (linear is 1st degree)

(x^2-4x+4-4)+(y^2+8x+16-16)+20=?
factor perfect squares
((x-2)^2-4)+((y+4)^2-16)+20=?
(x-2)^2-4+(y+4)^2-16+20=?
(x-2)^2+(y+4)^2=?

we see this is the equation of a circle
in form
(x-h)^2+(y-k)^2=r^2
center is (h,k)
radius is r
so the lowest point is r  units down from (h,k), or the point (h,k-r)

we know that te equation is
(x-2)^2+(y-(-4))^2=?
?=r^2
√?=r
center is (2,-4)
therefor
the minimum value, where the equation is equal to ?, is (2,-4-√?)
good luck, and may the force be with you

What is -2 3/10 as a improper fraction?.

Answers

so, all you have to do here is multiply your denominator by the number out front, then add it to your numerator, and set it over your denominator. i know it sounds confusing, but it's a quick process:

-2 3/10

to get your improper fraction:

-2 * 10 = -20
-20 + 3 = -17

then you set -17 over the bottom of your original fraction:
-17/10

it's sort of a weird process and there is some mathematical reasoning behind why exactly you take those steps, but it's best to just remember to multiply the bottom and "big" number out front, then add the top and keep your same denominator.
-23/10 :) happy holidays!


Suppose you draw a card from a​ well-shuffled deck of 52 cards. What is the probability of drawing a 5 or a queen?

Answers

a 5 or a queen

52 cards per deck
each card repeats 4 times

a 5 or a queen
there are four 5's and four queens
4+4=8

probablity=desiredoutcomes/totalpossible
probablity=8/52
probablity=4/26
probablity=2/13

Using the probability concept, it is found that there is a 0.1538 = 15.38% probability of drawing a 5 or a queen.

A probability is the number of desired outcomes divided by the number of total outcomes, hence:

[tex]p = \frac{D}{T}[/tex]

In this problem:

In a standard deck, there are four 5s and also four queens, hence [tex]D = 4 + 4 = 8[/tex].In total, there are 52 cards, hence [tex]T = 52[/tex]

The probability is:

[tex]p = \frac{D}{T} = \frac{8}{52} = 0.1538[/tex]

0.1538 = 15.38% probability of drawing a 5 or a queen.

A similar problem is given at https://brainly.com/question/24437717

Kohl's sells casual shirts for $9 and Poles shirts for $18. Total sales $1080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did kohl sells?

Answers

If we assume the number of polo shirts have been sold is x, the number of casual shirts have been sold will be 4x.
x*18+4x*9=$1080
(18+36)x=$1080
54x=$1080
x=20

The number of casual shirts have been sold is 4*20=80

If u get this question wrong u have to change your profile picture to Psyduck for 3 days and if u know the answer don't tell anyone but me((pm me)) because the answer is a secret.** If u bring 10 empty bottles to the bottle shop, the bottle shop will change 10 empty bottles to 1 drink. If u bring 100 bottles to the shop. How many drinks will you get?

Answers

We will get 11 drinks. Since each time we will get +1 bottle. We get +1 bottle after changing every 10 bottles, then we will have +10 bottles after 100 bottles.
Then we will use these ten bottles for 1 more free drink and also We will get 10 bottles

In the given scenario, 10 empty bottles are equivalent to one drink. So, with 100 bottles, you'd be able to exchange for 10 drinks.

Explanation:

The subject is mathematics, specifically a problem relating to division. The scenario describes a situation where 10 empty bottles can be exchanged for a single drink. If you have 100 bottles, you will be able to exchange these for drinks. To figure out how many drinks you would get, divide the total number of bottles by the number of bottles needed for one drink. So, 100 bottles divided by 10 bottles per drink equals 10 drinks.

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