The Tenorio Dairy makes cheese to supply to stores in its area. The dairy can make 250 pounds of cheese per day, and the demand at area stores is 180 pounds per day. Each time the dairy makes cheese, it costs $125 to set up the production process. The annual cost of carrying a pound cheese in a refrigerated storage area is $12. Determine the optimal size and the total annual inventory cost.
Answers
Answer:
The optimal size of each production run is 180 pounds, and the total annual inventory cost is $832,825.
Step-by-step explanation:
To determine the optimal size and total annual inventory cost, we need to consider the production capacity, demand, setup costs, and carrying costs.
Given:
Production capacity per day = 250 pounds
Demand per day = 180 pounds
Setup cost = $125
Carrying cost per pound per year = $12
First, let's calculate the optimal production size. We want to produce enough cheese to meet the demand without exceeding the production capacity.
Optimal production size per day = Minimum(Production capacity, Demand)
Optimal production size per day = Minimum(250 pounds, 180 pounds) = 180 pounds
Next, let's calculate the total annual inventory cost. This cost includes both the setup cost and the carrying cost.
Total annual inventory cost = (Setup cost * Number of setups per year) + (Carrying cost per pound * Optimal production size * Number of days in a year)
Number of setups per year = Number of production runs per year
Number of production runs per year = Total days in a year / Days per production run
Assuming a year has 365 days and each production run takes one day:
Number of production runs per year = 365 days / 1 day = 365 runs
Total annual inventory cost = ($125 * 365) + ($12 * 180 pounds * 365)
Total annual inventory cost = $45,625 + $787,200
Total annual inventory cost = $832,825
Related Questions
given g(x) = 2x/x-2, x≠2. find g¹³(8)
Answers
Answer:
8/3
Step-by-step explanation:
\(g^2 (x)=\frac{2\left(\frac{2x}{x-2} \right)}{\frac{2x}{x-2}-2} \\ \\ =\frac{4x}{2x-2(x-2)} \\ \\ =\frac{4x}{4} \\ \\ =x\)
From this, we can see that g(x) is its own inverse. Thus, \(g^{13}(x)=g(x)\)
So,
\(g^{13}(8)=\frac{2(8)}{8-2}=8/3\)
The cost of one t-shirt is 128. How much will be the cost of 20
Answers
The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.
When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.
Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.
We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.
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Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answers
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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e the function.
R
ƒ(x) = −x² – 10x + 16
Find f(-7)
Submit Answer
Answers
Answer
37
Step by Step explanation
replace x with -7
which gives
-(-7)^2-10(-7)+16
= 37
Simplify (a÷b)³×(b÷c)×(c÷a)³ when a=3,b=a²,c=a³
Answers
Answer:
To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.
Substituting the values of a, b, and c:
a = 3
b = a² = 3² = 9
c = a³ = 3³ = 27
Now let's simplify the expression:
(a÷b)³×(b÷c)×(c÷a)³
(3÷9)³×(9÷27)×(27÷3)³
Simplifying each term:
(3÷9) = 1/3
(9÷27) = 1/3
(27÷3) = 9
Now we can substitute the simplified values back into the expression:
(1/3)³×(1/3)×9
Simplifying further:
(1/27)×(1/3)×9
1/9
Therefore, the simplified expression is 1/9.
HELP ME OUT PLS!!!!!!
Answers
Answer:
C
Step-by-step explanation:
(3xy)^2 = 9x^2y^2
36/9 = 4
x^4 - x^2 = x^2
y^5 - y^2 = y^3
= 4x^2y^3
Triangle ABC is a 45*-45*-90* triangle where two vertices are A(-2,2) and B(-2,6) and AB is a leg of the triangle. What are all the possible ordered pairs for C?
Answers
Midpoint formula: [(x1 + x2) / 2, (y1 + y2) / 2]
For A(-2,2) and B(-2,6), the midpoint coordinates are:
C = [(-2 + -2) / 2, (2 + 6) / 2] = [-2, 4]
So, the only possible ordered pair for point C in this 45°-45°-90° triangle is (-2, 4).
A grasshopper sits on the first square of a 1×N board. He can jump over one or two squares and land on the next square. The grasshopper can jump forward or back but he must stay on the board. Find the least number n such that for any N ≥ n the grasshopper can land on each square exactly once.
Answers
Answer:
n=N-1
Step-by-step explanation:
You can start by imagining this scenario on a small scale, say 5 squares.
Assuming it starts on the first square, the grasshopper can cover the full 5 squares in 2 ways; either it can jump one square at a time, or it can jump all the way to the end and then backtrack. If it jumps one square at a time, it will take 4 hops to cover all 5 squares. If it jumps two squares at a time and then backtracks, it will take 2 jumps to cover the full 5 squares and then 2 to cover the 2 it missed, which is also 4. It will always be one less than the total amount of squares, since it begins on the first square and must touch the rest exactly once. Therefore, the smallest amount n is N-1. Hope this helps!
The smallest value of n is N-1.
What is a square?Square is a quadrilateral of equal length of sides and each angle of 90°.
Here given that there are 1×N squares i.e. N numbers of squares in one row.
The grasshopper can jump either one square or two squares to land on the next square.
Let's assume the scenario of 5 squares present in a row.
Let the grasshopper starts from the first square,
so the grasshopper can cover the full 5 squares in 2 methods;
one method is that it will jump one square at a time and reach at last square.
another method is it will jump all the squares to the finish and then backtrace.
If the grasshopper jumps one square at a time, it will take 4 jumps to cover all 5 squares.
Similarly, If a grasshopper jumps two squares at a time and then backtrace, it will take 2 jumps to reach the 5th square and then it will jump 1 square and then 2 squares to cover the 2 squares it missed, for which the number jump is also 4.
From the above it is clear that the number of jumps will always be one less than the total number of squares if the grasshopper begins from the first square and touch every square exactly once.
Therefore, the smallest value of n is N-1.
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Belle bought an aquarium priced at $90. Shipping and handling cost an additional 10% of the price. What was the total cost of the aquarium, including shipping and handling?
Answers
Steps:
Original: $90.00
Total: $ ?
100% = $90.00
10% Shipping and Handling
100% + 10% = Total
90.00 * 1.10 = 99.00
$99.00
How many helmets must the company make and sell to break even? helmets
Answers
Answer: 600
Step-by-step explanation: i took test and got it right
Answer: 600
Step-by-step explanation:
Height for each toddler at Mrs.orlando daycare
Answers
1=82 centimetres
2=83 centimetres
3=84 centimetres
1=85 centimetres
Answer: 1.5
Step-by-step explanation:
To find the quartiles, let's first find the median by sorting the data points from least to greatest.
81
,
82
,
83
,
83
84
,
84
,
84
,
85
81,82,83,83⋮84,84,84,8581, comma, 82, comma, 83, comma, start color gray, 83, end color gray, \varvdots, rectangle, start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
The median is the mean of the two middle numbers.
83
+
84
2
=
167
2
=
83.5
2
83+84
=
2
167
=83.5start fraction, start color gray, 83, end color gray, plus, start color gray, 84, end color gray, divided by, 2, end fraction, equals, start fraction, 167, divided by, 2, end fraction, equals, start color #9d38bd, 83, point, 5, end color #9d38bd
The first quartile is the median of the data points to the left of the median.
81
,
82
,
83
,
83
81,82,83,8381, comma, 82, comma, 83, comma, start color gray, 83, end color gray
Q
1
=
82
+
83
2
=
165
2
=
82.5
Q
1
=
2
82+83
=
2
165
=82.5Q, start subscript, 1, end subscript, equals, start fraction, 82, plus, 83, divided by, 2, end fraction, equals, start fraction, 165, divided by, 2, end fraction, equals, start color #ff00af, 82, point, 5, end color #ff00af
The third quartile is the median of the data points to the right of the median.
84
,
84
,
84
,
85
84,84,84,85start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
Q
3
=
84
+
84
2
=
168
2
=
84
Q
3
=
2
84+84
=
2
168
=84Q, start subscript, 3, end subscript, equals, start fraction, 84, plus, 84, divided by, 2, end fraction, equals, start fraction, 168, divided by, 2, end fraction, equals, start color #6495ed, 84, end color #6495ed
IQR
=
Q
3
−
Q
1
=
84
−
82.5
=
1.5
IQR
=Q
3
−Q
1
=84−82.5
=1.5
As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answers
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
Which of the following is the graph of y=x+3
Answers
Answer:ITS THE SECOND ONE
Step-by-step explanation:
Below is a data set containing six observations in ascending order
33 44 51 62 71 X
Find the value of missing data value X, if the range of data is 58
Answers
========================================================
Explanation:
The observations are in ascending order, which means the set is sorted from smallest to largest.
The X is at the right-most endpoint, so X is the largest value (aka the max).
The min is 33, so,
max - min = range
X - 33 = 58
X = 58+33
X = 91 is the max
Answer:
Step-by-step explanation:
The range of the data is the highest value - the lowest value.
The lowest in the list is 33 so the highest must be 33 + 58
= 91.
Marcel says there is only one vertex that will yield a maximum for any given function. Tomas says that if the numbers are correct, there could be two vertices that yield the same maximum. Tomas is correct. There are functions in which the coordinates of more than one vertex will yield the same value for the function. Please select the best answer from the choices provided T F
Answers
Answer:
It's true
Step-by-step explanation:
I just finished the edge quiz and got 100%
- 3 7/9 - 1 2/9
What is this answer
Answers
Answer:
-5
Step-by-step explanation:
(-3 7/9) - 1 2/9 = -5
Hope this helps :)
Pls make brainliest :3
And have an amazing day <3
Answer:
-5
Step-by-step explanation:
Since the signs are alike, we add and then take the sign
-(3 7/9 + 1 2/9)
-(4 9/9)
-(5)
BRAINLIEST and PLEASE show your work!!!!
Solve for y using the formula y = x^2(2+4); when x = 4
Answers
Answer:
y=96
Step-by-step explanation:
y=4^2(2+4)
y=16(2+4)
y=16(6)
y=96
Answer:
y=96
Step-by-step explanation:
Important information:
y=x^2(2+4)
x=4
Explanation/Solution:
y=x^2(2+4)
y=4^2(2+4)
y=16 (2+4)
y= 16 · 6 =
y=96
wn measures (Example 1)
B 8 in.
2.
85%
12 in.
A 35°
14 in.
60°
C
Z
42 in.
t
S
Y
36 in.
Answers
Answer:
The answer is A
Step-by-step explanation:
took the test.
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answers
The a whole number or in simplest form is 2.2.
We are given that;
Right rectangle length=33 and height=11, left triangle length=11 height=5
Now,
The length of the right rectangle is 33 and the length of the left rectangle is 11. To find the scale factor, we divide the length of the right rectangle by the length of the left rectangle:
33 / 11 = 3
This means that the right rectangle is 3 times as long as the left rectangle. The scale factor is 3.
We can check our answer by comparing the heights:
The height of the right rectangle is 11 and the height of the left rectangle is 5. To find the scale factor, we divide the height of the right rectangle by the height of the left rectangle:
11 / 5 = 2.2
Therefore, by fraction the answer will be 2.2.
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HELP HELP HELP! can someone please help me with this algebra 2 question?
Answers
The transformations that take the graph of f(x)=e^x to f(x)=(-e^x)-2 are a reflection about the x-axis and also by a vertical shift downward by 2 units.
A triangle is shown
A
(2х - 10)
B
(3x)
(4х + 46),
с
Part A: What is the value of x, in degrees?
13.8
ОООО
Answers
Answer:
x = 16
Step-by-step explanation:
First add all of your angles together to get:
9x + 36
Then set that equal to 180:
9x + 36 = 180
Now solve Algebraically:
Subtract 36 from both sides:
9x = 144
Then divide by 9:
x = 16
The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.
the graph doesn't have 4 quadrants
Answers
Answer:
a graph does have 4 quadrants
Step-by-step explanation:
the area (P,P) (P,N) (N,P) (N,N)
Key: P=postive
N=negitive
Along with calculating the ratios, what else is needed for your report?
options:
Making observations and identifying trends that are suggested by the ratio analysis
Identifying the factors that drive the trends in the ratios
Both of the above
Ratios that help determine whether a company can access its cash and pay its debts that mature in less than a year are called ________ ratios.
These ratios, which help determine how efficiently a firm is using its assets to generate sales are called _______ ratios.
Ratios that help assess a company’s ability to service the interest and repayment obligations on its long-term debt and the degree to which it uses borrowed versus invested financial capital are called _________
Answers
Answer:
Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial
statements:
⚫Balance Sheet
•Income Statement
⚫Statement of Cash Flows
.5 Categories
The five (5) major categori in the financial ratios list include the following:
•Liquidity Ratios
•Activity Ratios
•Debt Ratios
•Profitability Ratios
•Market Ratios
Step-by-step explanation:
Sana makatulong
Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.
Explanation:In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:
Ratios that help determine whether a company can access its cash and pay its debts that mature in less than a year are called Liquidity Ratios.Ratios which help determine how efficiently a firm is using its assets to generate sales are called Activity Ratios.Ratios that help assess a company’s ability to service the interest and repayment obligations on its long-term debt and the degree to which it uses borrowed versus invested financial capital are called Leverage Ratios.
However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.
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AP STATISTICS MATH
(Image above) PLEASE HELP THANK YOU (brainlist answer)
Answers
The probabilities are given as follows:
3. P(rides bus|owns a car) = 1/3.
4. P(red|organic) = 3/5.
How to calculate a probability?The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
For item 3, the outcomes are given as follows:
Desired outcomes: rides bus and owns a car -> 8 people.Total outcomes: owns a car -> 24 people.Hence the probability is:
P(rides bus|owns a car) = 8/24 = 1/3.
For item 4, the outcomes are given as follows:
Desired outcomes: red and organic -> 18%Total outcomes: organic -> 30%.The error was in identifying the total outcomes, and the probability is:
P(red|organic) = 18/30 = 3/5.
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6th 7th 8th
Grade Levels
Key: = 2 students
If 10 more 8th graders join the club, how many 6th graders will need to join the club so that
the ratio of 8th graders to 6th graders remains the same?
Answers
Answer:
4 need to join the club to remain same to grade 8th
Write a function in any form that would match the graph shown below.
Answers
Answer:
6(x+1)(x-5)^2=0
Step-by-step explanation:
Are the functions
y = -2x + 1 and 2x - 3y = 6 parallel, perpendicular, or neither?
Answers
Answer:
they are perpendicular. If you want to check, go on desmos and put both equations there.
Can someone do all of this and explain each one
Answers
Answer: no exact answer
Step-by-step explanation:
Write an expression to represent the
total area as the sum of the areas of
each room.
11(7 + 4) =
? · 7+11.
?
Answers
11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of
each room.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
11 (7 + 4)
Using the property of multiplication over addition.
11 x 7 + 11 x 4
Thus,
11 x 7 + 11 x 4.
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