Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 6,100 units per year. The cost of each unit is $101, and the inventory carrying cost is $8 per unit per year. The average ordering cost is $31 per order. It take about 5 days for an order to arrive, and the demand for 1 week is 120 units. (This is a corporate operation, and the are 250 working days per year.)A) What is the EOQ?B) What is the average inventory if the EOQ is used?C) What is the optimal number of orders per year?D) What is the optimal number of days in between any two orders?E) What is the annual cost of ordering and holding inventory?F) What is the total annual inventory cost, including cost of the 6,100 units?
Answers
Answer and Step-by-step explanation:
The computation is shown below:
a. The economic order quantity is
\(= \sqrt{\frac{2\times \text{Annual demand}\times \text{Ordering cost}}{\text{Carrying cost}}}\)
\(= \sqrt{\frac{2\times \text{6,100}\times \text{\$31}}{\text{\$8}}}\)
= 217 units
b. The average inventory used is
\(= \frac{economic\ order\ quantity}{2}\)
\(= \frac{217}{2}\)
= 108.5 units
c. The optimal order per year
\(= \frac{annual\ demand}{economic\ order\ quantity}\)
\(= \frac{6,100}{217}\)
= 28 orders
d. The optima number of days is
\(= \frac{working\ days}{optimal\ number\ of\ orders}\)
\(= \frac{250}{28}\)
= 8.9 days
e. The total annual inventory cost is
= Purchase cost + ordering cost + carrying cost
where,
Purchase cost is
\(= \$6,100 \times \$101\)
= $616,100
Ordering cost = Number of orders × ordering cost per order
= 28 orders × $31
= $868
Carrying cost = average inventory × carrying cost per unit
= 108.50 units × $8
= $868
So, the total would be
= $616,100 + $868 + $868
= $617,836
Related Questions
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answers
Answer:
12w=108
Step-by-step explanation:
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=180
Step-by-step explanation:
hey its me
Given right triangle TUV shown below with TU = 18.5 and ∠T = 68 degrees, which of the following is closest to the length of segment TV?
Answers
Answer:
49.39 units.
Step-by-step explanation:
In Right Triangle TUV, \(\angle U\) is a right triangle.
TU = 18.5
∠T = 68 degrees
\(\cos \theta =\dfrac{Adjacent}{Hypotenuse} \\$Using the trigonometric formula above:\\\cos T =\dfrac{TU}{TV}\\\\\cos 68^\circ =\dfrac{18.5}{TV}\\\\$Cross multiply\\TV*\cos 68^\circ=18.5\\\\TV=\dfrac{18.5}{\cos 68^\circ}\\\\TV=49.39$ units\)
The length of segment TV is 49.39 units.
What is 8% of 200 estimated?
Answers
Answer:
16
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
how many degrees makes up a straight line
Answers
Answer:
180 degrees
Step-by-step explanation:
it says it needs to be 20 characters so I'm writing this :)
The value of q is:
A. 42.
B. 39.
C. 40.
Answers
Answer:
40
Step-by-step explanation:
Its pretty easy i did that on a test and got a 100
2(x + 3) multiply the expression
Answers
Answer:
2x+6
Step-by-step explanation:
Do you mean simplifying the expression?
Distribute 2 to both of the numbers in the parentheses (multiply)
2 * x = 2x
3*2 =6
2x+6
The scale of a map says that 8 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
Answers
Answer:
40 cm
Step-by-step explanation:
1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
Answers
The image of the original figure after the translation and reflection is congruent to the original figure.
Translation over a point is what?A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.
1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.
2. Point A after translation is situated at (-2, 9).
3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.
4. Point B is obtained by reflecting point A over the y-axis (2, 9).
5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.
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0.4(2x+ 1/2 )=3[0.2x+(−2)]−4
Answers
That is the correct answer
Right triangle ABC was dilated with a scale factor of 2. How many times larger is the area of triangle DEF than triangle ABC?
Answers
The area of triangle DEF is four times larger than the area of triangle ABC.
We have,
Right triangle ABC was dilated with a scale factor of 2.
When a triangle is dilated with a scale factor of 2, the resulting triangle is enlarged by a factor of 2 in each dimension.
Since area is a two-dimensional measure, it will be enlarged by a factor of the square of the scale factor.
In this case, the scale factor is 2, so the area of triangle DEF will be
= 2²
= 4 times larger than the area of triangle ABC.
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Polynomial multiple choice help
Answers
2. A graph
4. C- Neither even or odd
5. A- 32
—
3. A or D (not sure)
1. A,B or C but not D (I don’t think)
Hope this helps :)
Divide. Write your answer in simplest form
5/6 divided by 4
Please help me, and it has to be a fraction answer
Answers
Answer:
5/24
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems Algebra Write the Fraction in Simplest Form (5/6)÷4
5/6 ÷ 4
Rewrite the division as a fraction.
5/6
4
Multiply the numerator by the reciprocal of the denominator.
5/6
⋅
1/4
Multiply
5/6
⋅
1/4
.
Tap for fewer steps...
Multiply
5/6
and
1/4
.
5/6
⋅
4
Multiply
6
by
4
.
5/24
The result can be shown in multiple forms.
Exact Form:
5/24
Determine whether the triangle with the given side lengths is acute, right, obtuse, or not a triangle.
6, 12, 19
Answers
Answer: not a triangle
Step-by-step explanation:
To form a triangle, the sum of any two sides must be greater than the third side. (Triangle Inequality Theorem.) Let's check that first.
6 + 12 = 18, and the third side is 19
6 + 12 should be greater than the third side, but it's not.
Well, we got lucky and finished quickly. This can't be a triangle.
An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.
Answers
Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.
What is lowest value of iphone ?It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.
Sterling to Euro : \($750 \times 1.14=6855$\)
Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)
One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.
The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.
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Describe the x-values at which the function is differentiable. (Enter you answer using interval notation.)
f(x) = (x+2)^2/3
Answers
(-∞,∞)
The table below show the data to find an exponential model.
x 1 4 7 8 10
y. 798 1078 1519 2075 3102
1 goes with 798, 4 goes with 1078, 7 goes with 1519, 8 goes with 2075, and 10 goes with 3102
a. Write the data set to be used in order to linearize the data.
b. Write the system of equations
c. Write the matrices.
d. Indicate the c values
e. Write the exponential model in the form Y=C* 10^bx
Answers
The data set to be used to linearize the data is:
x ln(y)
1 ln(798)
4 ln(1078)
7 ln(1519)
8 ln(2075)
10 ln(3102)
b. The system of equations is:
$\begin{pmatrix}5 & \sum_{i=1}^{5} x_i \\ \sum_{i=1}^{5} x_i & \sum_{i=1}^{5} x_i^2 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}\sum_{i=1}^{5} ln(y_i) \\ \sum_{i=1}^{5} x_i ln(y_i) \\\end{pmatrix}$
c. The matrices are:
$\begin{pmatrix}5 & \sum_{i=1}^{5} x_i \\ \sum_{i=1}^{5} x_i & \sum_{i=1}^{5} x_i^2 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}\sum_{i=1}^{5} ln(y_i) \\ \sum_{i=1}^{5} x_i ln(y_i) \\\end{pmatrix}$
$\begin{pmatrix}5 & 30 \\ 30 & 266 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}7.986 \\ 27.214 \\\end{pmatrix}$
d. Solving for b and ln(C) using a calculator or a matrix-solving tool, we get:
b = 0.2695
ln(C) = 6.6195
Taking exponential of ln(C) we get C = 760.9305.
Therefore, the values of c are: C = 760.9305.
e. The exponential model in the form Y=C * 10^(bx) is:
Y = 760.9305 * 10^(0.2695x).
Jayla multiplies 8.0 by 10” and says the product is 8.0000. Is Jayla correct or incorrect?
Answers
Answer:
Jayla is incorrect.
Step-by-step explanation:
8.0 × 10 = 80
or
8 × 10 = 80
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
a. answer choice c
b. 20301
Step-by-step explanation:
You first need to understand a formula for finding the sum of consecutive integers starting from one: (m*(m+1))/2, m is the biggest number in the set.
a. The biggest number in your set is 100, so we plug in 100 for m and solve:
100*101/2=50*101=5050
b. Same thing. Use the formula t plug in 201 for m:
201*202/2=201*101=20301
The only reason you have the picture next to your question is to prove the formula (m*(m+1))/2.
Solve ( 9 - r) ( 2 - 3r) using the FOIL method. QUICK PLEASE!
Answers
\(\huge\text{Hey there!}\)
\(\textsf{(9 - r)(2 - 3r)}\)
\(\textsf{= 9(2) + 9(-3r) + 2(-r) + (-r)(-3r)}\)
\(\mathsf{= 18 - 27r - 2r + 3r^2}\)
\(\mathsf{= 3r^2 + 18 - 27r - 2r}\)
\(\boxed{\large\text{COMBINE the LIKE TERMS}}\)
\(\mathsf{= 3r^2 + 18 + (-27r - 2r)}\)
\(\mathsf{= 3r^2 + 18 - 29r}\)
\(\mathsf{= 3r^2 - 29r + 18}\)
\(\boxed{\large\textsf{Therefore, your answer is: \large\boxed{\mathsf{3r^2 - 29r + 18}}}}\large\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answers
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
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Please help me Geometric Sequences
Answers
Step-by-step explanation:
The given sequence is a geometric sequence with the first term being 1 and the common ratio being -3.
To find the 7th term, we can use the formula for the nth term of a geometric sequence:
a_n = a_1 * r^(n-1)
where a_1 is the first term, r is the common ratio, and n is the term number we want to find.
Plugging in the values we have, we get:
a_7 = 1 * (-3)^(7-1)
= 1 * (-3)^6
= 1 * 729
= 729
HELPPPPP DUEEEE SOOON
Answers
Answer:
second one
Step-by-step explanation:
Please help I’ll give you extra points HELPS
Answers
Answer:
I believe it is the one on the bottom left.
Step-by-step explanation:
the 3rd and 6th term in fibonacci sequence are 7 and 31 respectively find the 1st and 2nd terms of the sequence
Answers
Answer:
Step-by-step explanation:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?
A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape He decides to add 1.3 meters of
fencing to the width of the pen but the length will remain 10.4 meters. The new area will be 81.12 square meters
Which equation can be used to determine the original width, w of the pen?
Answers
Answer:
81.12 square meters
Step-by-step explanation:
Using the equation for the area of a rectangle, the original width w of the pen is determined by 10.4(w + 1.3) = 81.12
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Given that farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape then he decides to add 1.3 meters of
fencing to the width of the pen but the length will remain 10.4 meters.
Length = 10.4 meters.
Width w = (w + 1.3)
The new area of rectangle = 81.12 square meters
Then: Using the equation for the area of a rectangle, the original width w of the pen is determined by 10.4(w + 1.3) = 81.12
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During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
Answers
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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the number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks
Answers
The number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks is 70.
The total number of digits (0-9) = 10.
Thus, the number of ways to pick a digit = 10.
The total number of lowercase letters (a - z) = 26
Thus, the number of ways to pick a lowercase letter = 26.
The total number of uppercase letters (A - Z) = 26
Thus, the number of ways to pick an uppercase letter = 26.
The total number of allowable punctuation marks = 8
Thus, the number of ways to pick a punctuation = 8.
Hence, the total number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks is -
10 + 26 + 26 + 8 = 70.
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A student is solving the problem
x^2 + 10x + _ = 16 + _
by method of completing the square. What number should the student add to both sides?
A. 4
B. 16
C. 25
D. 5
Answers
We should add 25 both side by method of completing the square.
We have to given that;
A student is solving the problem
x² + 10x + _ = 16 + _
Now, We can completing the square as;
⇒ x² + 10x + 5² = 16 + 5²
⇒ x² + 10x + 25 = 16 + 25
⇒ (x + 5)² = 16 + 25
Hence, We should add 25 both side by method of completing the square.
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Find the common difference of the sequence 4, 12, 20, ....
Answers
8
In this pattern, we have 4 12 then 20.
We can see that the difference 4 and 12 is 8.
Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.
3. SOLVE THE unear equation X - 9 = 35x
Answers
x - 9 = 35x
Subtract x from both sides:
x - 9 -x = 35x - x
-9 = 34x
Divide both sides by 34:
-9/34 = 34x/34
x = -9/34