g Samantha Brenatto sells fresh salmon at her fish store daily. She estimated that the demand for salmon follows a normal distribution with a mean of 155 pounds and a standard deviation of 10 pounds. She pays $8 for a pound of fish, which sells for $29. Any fish not sold that day are sold to another store for $4 per pound. According to this given information, the optimal service level is ____%. (Do not round your intermediate calculations. Round your final answer to the nearest whole number. Only enter the number. Do not enter any units.(c)orsdemir. Copyrighted content.)
Answers
The optimal service level is 93%
The optimal service level can be calculated as follows:Step 1: Calculate the safety stockThe formula for safety stock is given as;Safety stock = Z x σ x √L
Where;Z = Z value for the desired level of serviceσ = Standard deviationL = Lead time To find the optimal service level, we need to find the safety stock first.
The lead time is not given in the question. So, we assume that the lead time is zero (i.e., the fish is available as soon as it is ordered).
So, L = 0Safety stock = Z x σ x √LSafety stock = Z x σSafety stock = 1.645 x 10 (Since the desired level of service is not given, we assume it as 93.32%)Safety stock = 16.45 ≈ 17 pounds
Step 2: Calculate the reorder pointThe formula for reorder point is given as;Reorder point = Expected demand during lead time + Safety stockReorder point = μL + Zσ√L
Where;μ = Mean demand during lead timeThe mean demand is given as 155 pounds.
The lead time is assumed to be zero (i.e., L = 0)Z = Z value for the desired level of serviceσ = Standard deviation Reorder point = μL + Zσ√LReorder point = 155(0) + 1.645(10)Reorder point = 16.45 ≈ 17 pounds
Step 3: Calculate the order quantity The formula for order quantity is given as;Order quantity = Reorder point + Safety stock - On-hand inventory
Order quantity = (155(0) + 1.645(10)) + 17 - 0Order quantity = 34.45 ≈ 34 pounds
Step 4: Calculate the total costThe total cost includes three components:
Order cost = (Fixed cost/Order) x Demand = (C/D) x D = CPurchase cost = Purchase price x Demand = $8 x D = 8DStockholding cost = (Average inventory/Order) x Cost of holding one unit in stock = (Q/2) x H x P = 2 x 4 x (155 - 8) / (34) = 48.47 dollars per order
Thus, Total cost = Order cost + Purchase cost + Stockholding cost= CP + 8D + 48.47
Step 5: Find the order quantity that minimizes the total cost To find the order quantity that minimizes the total cost, we differentiate the total cost function with respect to Q and set it to zero.d
(Total cost)/dQ = C - H(155 - 8)/Q2 = 0Q = √[(C/H)(155 - 8)/2]Q = √[(10/4)(155 - 8)/2]Q = √((10/4)(147/2))Q = √(5 x 147) ≈ 54 pounds Therefore, the optimal service level is 93%.
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Related Questions
2) You roll a fair, six-sided die twice. Determine if the following two events are independent or dependent:
Rolling a three and rolling a four
Answers
Answer:
Step-by-step explanation:
independent
Simplify!! Please!!!
Answers
Answer:
.................................................
Step-by-step explanation:
edge 2022
The distance between two lines measured along a perpendicular line to the line is always the same.
Answers
The distance between two lines measured along a perpendicular line to the line is always the same is called as equidistant .
Given :
The distance between two lines measured along a perpendicular line to the line is always the same.
What is Equidistant ?
Distances between two points from a common points are equal then it is called as equidistant .
Formulas :
Midpoint = ( x1 + x2 / 2 , y1 + y2 / 2 )
Distance = \(\sqrt{(x2 - x1 )^2 - (y2 - y1)^2 }\)
These are two main formulas are used to find whether equidistant or not.
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Rectangle No. 1 has a length of 7 cm and a width of 4.5 cm. If rectangle No. 2 is congruent to rectangle No.1, what is the perimeter of rectangle No. 2?
Answers
If the rectangles are congruent, they have the same perimeter.
Using the formula for the perimeter of a rectangle yields that the perimeter of Rectangle 1 is 23 cm.
Thus, the perimeter of Rectangle 2 is also 23 cm.
Use the Distributive Property of Division to rewrite the following. (pls Simplify) 9+12n/3
Answers
Answer:
The answer to this equation is 9+4n
Mark True or False only : Do not explain
a) The number of proper non trivial subgroups of (Z₁₂,⊕₁₂) is 4 b) The number of generators of (Z₁₅,⊕₁₅) is (8) c) The infinite group (Z, +) is a cyclic group d) In an infinite group we can find a finite subgroup e) If G is non-Abelian Group then, Always, G is not cyclic.
Answers
a) False
b) False
c) True
d) True
e) True
In summary, the statements are:
a) The number of proper non-trivial subgroups of (Z₁₂,⊕₁₂) is 4, which is false.
b) The number of generators of (Z₁₅,⊕₁₅) is 8, which is false.
c) The infinite group (Z, +) is a cyclic group, which is true.
d) In an infinite group, we can find a finite subgroup, which is true.
e) If G is a non-Abelian Group, then G is not always cyclic, which is true.
a) The number of proper non-trivial subgroups of (Z₁₂,⊕₁₂) is actually 6.
b) The number of generators of (Z₁₅,⊕₁₅) is determined by the number of integers coprime to 15, which is 8.
c) The infinite group (Z, +) is a cyclic group generated by a single element, which is true.
d) In an infinite group, we can always find a finite subgroup, such as the subgroup generated by a single element raised to different powers.
e) It is true that if G is a non-Abelian Group, it is not always cyclic because non-Abelian groups have elements that do not commute, which prevents them from being generated by a single element.
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What does this equal me nor my brother can figure this out
Answers
Answer:
2 14/18
Step-by-step explanation:
because you just multiply the numerators and denomitors you must make an improper fraction first though
Solve the equation for V.
D= M/V
Answers
Answer:
v=m/d
Step-by-step explanation:
11. Solve the system of Equations
5x + 2y = -18
-3x + 7y = 19
Solve for X and Solve for y
Answers
Answer:
(x,y)= (-4,1)
Step-by-step explanation:
sub the given value of x into the equation -3x+7y=19
solve for y
sub the given value of y into the equation
THIS IS FOR SUBSTITUTION METHOD
I REALLY NEED HELP!!! PLEEEEEASE
A landscaper needs to fill a path measuring 2 feet by 8 feet with patio stones.
The patio stones are each 1 foot by 2 feet, so the landscaper calculates that she
will need 8 of them.
Before arranging the patio stones, the landscaper wants to look at all her options.
She can not cut or overlap the stones, and they all must fit inside the path area
without any gaps. Two possible arrangements of the stones are shown below.
How many different arrangements are there in total?
Answers
Answer:
28
Step-by-step explanation:
You can have 8 1x2 vertical in a row,
7 with two horizontals stacked on top of each other.
9 with 4 horizontal tiles,
10 with 6 horizontal tiles,
1 8 horizontal tiles set,
1+7+1+9+10=28
Hope this helps!
Answer:
28
Step-by-step explanation:
You can have 8 1x2 vertical in a row,
7 with two horizontals stacked on top of each other.
9 with 4 horizontal tiles,
10 with 6 horizontal tiles,
1 8 horizontal tiles set,
you can draw it out
1+7+1+9+10=28
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
attempt 1 out of 2
Answers
Answer:
45%
Step-by-step explanation:
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
P (no bro / yes sis) = P(no bro) - P(sis and bro)
= 12/20 - 3/20
= 9/20
or 45%
Find the common difference. same as umber 1
2.) 21, 121, 221, 321
A.) d=-98
B.) d=100
C.) d=98
D.) d=-99
Answers
Answer: B.) d = 100
You add 100 to 21, you get 121.
You add 100 to 121, you get 221.
You add 100 to 221, you get 321.
And so on-
Hope dis helps :)
Solve the equation 4.2g+ 5 =2.2g + 11 Find the value of g. b. Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answers
The value of b in the equation 4.2g+ 5 =2.2g + 11 is g = 3 .
In the question ,
it is given that ,
the equation is 4.2g+ 5 =2.2g + 11
on arranging like terms together , we get
4.2g - 2.2g = 11 - 5
2g = 6
g = 6/2
g = 3
the value of g is = 3 .
to check whether the value g = 3 is correct ,
we substitute g = 3 , in the equation
4.2(3)+ 5 =2.2(3) + 11
12.6 + 5 = 6.6 + 11
17.6 = 17.6
So , the answer that g = 3 is correct .
Therefore , The value of b in the equation 4.2g+ 5 =2.2g + 11 is g = 3 .
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Ground beef costs $3.49 per poundBrenda needs 1.5 pounds and Mary needs 2.25 pounds for their recipes. About how much will they spend for the ground beef for their recipes?
Answers
Answer:
They will need $13.97 worth of ground beef for their recipes.
Step-by-step explanation:
First, we know that 1 pound equals 3.49, so for Brenda we can put 1 pound aside.
Then, she needs 0.5 more pounds. To figure this out, set up this equation:
0.5 x 3.49 = 1.75.
3.49 + 1.75 = $5.24 for Brenda.
Now, for Mary, we have 2 pounds:
2 x 3.49 = 6.98
Take the 0.25, and multiply it:
0.25 x 6.98 = 1.75
6.98 + 1.75 = $8.73 for Mary.
Take their totals and add them together:
$5.24 + $8.73 = $13.97
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
what’s the scale reading
Answers
Answer:
0.026
Step-by-step explanation:
6 out of 10 steps between 0.02 and 0.03.
in a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, mark has scored 90, 86, and 85 on the first three. what range of scores on the fourth test will give mark a c for the semester (an average between 70 and 79, inclusive)? assume that all test scores have a non-negative value.
Answers
Answer:
b/w 19 & 55
Step-by-step explanation:
average of four equally weighted 100-point tests,
mark has scored 90, 86, and 85 on the first three.
C average = 70 and 79
90+86+85+x = 4*70 = 280, so x=19
90+86+85+x = 4*79 = 316, so x=55
Given that lim f(x) = 9 lim g(x) = -4 lim h(x) = 0, X-2 X-2 X-2 find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) lim [f(x) + 4g(x)] X-2 (b) lim [g(x)]³ X-2 (c) lim √f(x)
Answers
To find the limits of the given expressions, we can use the properties of limits. Given that lim f(x) = 9, lim g(x) = -4, and lim h(x) = 0 as x approaches 2, we can determine the limits of (a) [f(x) + 4g(x)], (b) [g(x)]³, and (c) √f(x) as x approaches 2.
(a) To find lim [f(x) + 4g(x)] as x approaches 2, we can apply the limit properties. Since lim f(x) = 9 and lim g(x) = -4 as x approaches 2, we can substitute these values into the expression to get lim [f(x) + 4g(x)] = 9 + 4(-4) = 9 - 16 = -7.
(b) To find lim [g(x)]³ as x approaches 2, we again apply the limit properties. Since lim g(x) = -4 as x approaches 2, we can substitute this value into the expression to get lim [g(x)]³ = (-4)³ = -64.
(c) To find lim √f(x) as x approaches 2, we can apply the limit properties. Since lim f(x) = 9 as x approaches 2, we can substitute this value into the expression to get lim √f(x) = √9 = 3.
In summary, the limits are: (a) -7, (b) -64, and (c) 3.
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The radius of a circle is 3 ft. Find its area to the nearest tenth.
Answers
Answer:
9.428 is the answer
Step-by-step explanation:
9.428 is answer
Answer:
the area = 28.3
Step-by-step explanation:
A=
\,\,\pi \cdot \color{red}{3}^{2}
π⋅3
2
\color{purple}{A}=
A=
\,\,\pi \cdot 9
π⋅9
Square 3
\color{purple}{A}=
A=
\,\,9\pi
9π
Commutative property of multiplication
\color{purple}{A}=
A=
\,\,28.27433388...
28.27433388...
Multiply, using the π button on your calculator
\color{purple}{A}=
A=
\,\,28.3
28.3
Round to the nearest tenth
The New Strait Times subscriber survey asked 46 questions about subscriber characteristics and interests. Five out of the 46 questions being asked are shown below. The survey collected 826 questionnaires successfully. (1) What is your age (as of last birthday)? (2) Are you male or female? (3) When did you start reading the New Strait Times? [e.g. High school, college, early career, mid-career, late career, or retirement] (4) What is your annual income? (5) How many books do you read each year? a. What is the population being studied? b. For each of the above questions, (1) determine whether the variable is categorical or numerical; and (2) if the variable is numerical, determine whether the variable is discrete or continuous. c. The survey results show that the average number of books read each year is 3.2. Is the value 3.2 a parameter or a statistic? Why? d. New Strait Times would like to test whether the average number of books read is less than 4 based on the survey results. Does the value "4" being tested refer to the parameter or statistic? Why?
Answers
A survey conducted by the New Strait Times collected data from 826 subscribers, asking 46 questions about their characteristics and interests.
a. The population being studied is the subscribers of the New Strait Times.
b.(1) The variable "age" (question 1) is numerical and continuous.
(2) The variable "gender" (question 2) is categorical.
(3) The variable "time of starting to read the New Strait Times" (question 3) is categorical.
(4) The variable "annual income" (question 4) is numerical and continuous.
(5) The variable "number of books read each year" (question 5) is numerical and discrete.
c. The value 3.2, representing the average number of books read each year, is a statistic. A statistic is a numerical measure calculated from a sample, in this case, the survey respondents. It provides an estimate or summary of the characteristics of the sample.
d. The value "4" being tested, which represents the average number of books read, refers to the parameter. A parameter is a numerical measure calculated from the entire population being studied. In this case, the New Strait Times would like to test whether the average number of books read by all subscribers is less than 4, using the survey results as an estimate.
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market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers.
Answers
Market classes and grades are used to describe the quality and characteristics of agricultural products, including meat, poultry, fruits, and vegetables. True
They provide a common language for buyers and sellers to communicate about the characteristics, such as the age, sex, fat content, and muscling, of the product. Market classes and grades help ensure that buyers receive products that meet their quality standards and help sellers receive a fair price for their products. For example, beef is graded based on marbling, maturity, and lean color, with the highest grade being USDA Prime, followed by USDA Choice and USDA Select.
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Full Question: market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers. T/F
This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
Market classes and grades refer to the categorization and labeling of carcasses and products based on their quality and characteristics. These classifications use descriptive terminology that is understood by different groups of buyers, such as meat packers, wholesalers, retailers, and consumers. Market classes typically group animals based on their intended use, such as beef cattle for slaughter, while grades are assigned based on factors such as maturity, marbling, and fat content. This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
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A function with parameters a and b is given. Describe the critical points and possible points of inflection of f in terms of a and b. Assume a,b>0.
f(x)= a/(x^2+b^2)
Answers
The Critical point and Point of Inflection for the function f(x) = a/(x² + b²) are (0, a/b²) and (b/√3, 3a/4b²) respectively.
The given function is,
f(x) = a/(x² + b²) = a(x² + b²)⁻¹
Differentiating the function with respect to 'x' we get,
f'(x) = -a(x² + b²)⁻²(2x) = -2ax(x² + b²)⁻²
f''(x) = 2a[-2x(x² + b²)⁻³(2x) + (x² + b²)⁻²] = 2a(x² + b²)⁻²[-4x² + (x² + b²)] = 2a(x² + b²)⁻²[ -3x² + b²]
Now, for critical point,
f'(x) = 0 gives
-2ax(x² + b²)⁻² = 0
x = 0
So, at x = 0, f(0) = a/b²
Hence, (0, a/b²) is the critical point.
For point of Inflection,
f''(x) = 0
2a(x² + b²)⁻²[ -3x² + b²] = 0
3x² = b²
x² = b²/3
x = b/√3
So at x = b/√3, f(b/√3) = 3a/4b²
Hence the point of inflection is (b/√3, 3a/4b²).
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Lily needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 4.5 hours and charged her $193 for parts.
The total was $530.50. What was the cost of labor, per hour?
Answers
Answer:
$530.50 - $193 = $337.5
$337.5 ÷ 4.5 = $75
without using tables or calculator, evaluate; 3.83×5.96 / 1.95^20
Answers
Answer:
≈ 0
Step-by-step explanation:
Since you're dividing by a very large number (almost 2^20), the result must be very small, regardless of the values in the numerator.
The actual value is 0.0000361204212401159214664402122500277753557166527631682017894060
So, that is indeed very small.
A 4 x 5 pile group is rectangular in plan and consists of 20 no. 450 mm diameter concrete piles driven 15 m into a deep soft clay soil at 1.1 m centers. Use the Feld's rule to calculate the pile group efficiency factor for this pile group. NB: Feld's rule - The efficiency of each pile in the group is reduced by 1/16 for each adjacent pile, and then a "weighted" average efficiency is found for the group
Answers
The pile group efficiency factor for this 4 x 5 pile group is 0.6338, indicating the overall efficiency of the pile group in relation to the individual piles.
Feld's Rule is a method used to calculate the group efficiency factor of pile groups. In this case, we have a rectangular 4 x 5 pile group consisting of 20 concrete piles with a diameter of 450 mm. These piles are driven 15 m into a deep soft clay soil at 1.1 m centers.
According to Feld's Rule, the efficiency of each pile in the group is reduced by 1/16 for each adjacent pile. To calculate the pile group efficiency factor, we need to find the weighted average efficiency for the group.
The efficiency of the first pile is taken as 1.0, while the efficiency of each adjacent pile is calculated as 1.0 - 1/16 = 0.9375.
Using the given formula, the pile group efficiency factor is calculated as follows:
Pile Group Efficiency Factor = Σ (1/No. of piles in the group) x Σ (Efficiency of each pile in the group)
Pile Group Efficiency Factor = 1/20 x (1 + 2 (0.9375) + 2 (0.9375)² + 3 (0.9375)³ + ... + 2 (0.9375)¹⁴ + 1 (0.9375)¹⁵)
After performing the calculations, the pile group efficiency factor is found to be 0.6338.
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1.Given the following:
D: μ≥1000;
E: μ<1000
D and E represent respectively.
Select one:
a. H(a) and H(0)
b. H(0) and H(a)
c. Type I error and Type II error
Answers
Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
How to determine D: μ≥1000; E: μ<1000?Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).
The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.
The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.
Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
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If every 3 cm on a scale drawing is equal to 4 feet and realize which lines on the drawing would be greater than 12 feet in real life? select all the apply
Answers
Lines that are greater than 12 feet in real life are AB, CE, GH, IJ, KL, MN, OR, QS, TU, VW, and Y.
The given scale drawing tells us that every 3 cm on the scale drawing is equal to 4 feet in real life.
To determine which lines on the drawing would be greater than 12 feet in real life, we have to find the length of the line in centimeters and then convert it into feet.
We can use the proportion 3 cm/4 ft to convert the length of the line on the scale drawing into feet. Lines that are greater than 12 feet in real life are those that have a length of more than 9 cm on the scale drawing.
The lines that are greater than 12 feet in real life are as follows: ABCEGHIJJKLMNORQSTUVWY
The above lines have a length of more than 9 cm on the scale drawing, and using the proportion 3 cm/4 ft we can see that their length in real life is greater than 12 feet.
Hence, the lines that are greater than 12 feet in real life are AB, CE, GH, IJ, KL, MN, OR, QS, TU, VW, and Y.
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Martin is interested in the new hypermiling movement which focuses on getting the best miles per gallon (MPG) when driving. He gathered
some data about the weights, In thousands of pounds, of different cars and thelr average MPG. The graph below shows the results of Martin's research.
Answers
Answer:
Step-by-step explanation:
D the situation shows correlation with causation
Answer:
the situation shows correlation with caution
Does anyone know this
Answers
put like terms together
(3x-5x) + 4y
=-2x + 4y
3. 6(4- square root of 16)
the square root of 16 is 4 so
6(4-1*4)
multiply the numbers
6(4-4)
subtract
6(0)
multiply by 0
Answer=0
If the ratio of apples to pumpkins was 5:7 and there are 21 pumpkins, how many apples are there?
Answers
Answer:
15 apples
Step-by-step explanation:
7×3=21
5×3=15
Answer:
15 apples
Step-by-step explanation:
hope I could help
what is the image of the point (-3,5) after a rotation of 90 counterclockwise about the origin
Answers
Answer:
(5, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ) , thus
(- 3, 5 ) → (5, 3 )
Answer:
(-5,-3)
Step-by-step explanation: