Demand for a specific design of dinning sets has been fairly large in the past several years and Statewide Furnishings, Inc. usually orders new dinning sets 10 times a year. It is estimated that the ordering cost is $400 per order. The carrying cost is $50 per unit per year. Furthermore, State Wide Furnishings, Inc. has estimated that the stock out cost is $120 per unit per year. Based on forecast, the annual demand is 600 units. State Wide Furnishings, Inc. has 350 working days in a year and its lead time is 14 working days. Assume the inventory policy of Statewide Furnishings, Inc. does not allow stock out. Determine the economic order quantity.
1. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the maximum allowable shortage.
a. 117.
b. 98.
c. 34.
d. 24.
2. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual ordering cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
3. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual holding cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
4. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual shortage cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
5. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual total relevant, including ordering, holding and shortage, cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
6. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the reorder point.
a. 10.
b. –10.
c. 34.
d. 24.
e. none of the above.

Answers

Answer 1

Answer:

1. a. 117.

2. $2,051.48

3. 592.82

4. 1472.01

5. d. 4116.11

6. d. 24

Step-by-step explanation:

Economic Order Quantity : [tex]\sqrt{\frac{2 * Annual Demand *ordering cost}{Holding cost per unit } ( \frac{Holding cost + Shortage Cost}{Shortage cost }) }[/tex]

Economic order quantity is [tex]\sqrt{\frac{2 * 600 * 400}{50} (\frac{50 + 120}{120} )}[/tex]

EOQ = 117

2. ordering cost :

( total demand / EOQ ) * Ordering cost

( 600 / 117 ) * 400 = $2051.28

3. Holding cost :

Total demand * holding cost per unit

= 592.82

Reorder Point = Daily Demand * lead time

Reorder point = 600 / 350 * 14 = 24


Related Questions

Prove that Newton-Raphson method for solving the equation [tex]x^{k} e^{x} = 0[/tex] (where k is constant) is given by this formula: [tex]x _{n +1} = \frac{(K-1)x_n + x_n^{2} }{K+x_n}[/tex]

Answers

We have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]

To prove that the Newton-Raphson method for solving the equation [tex]x^k e^x = 0[/tex], where k is a constant, is given by the formula

[tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,[/tex]

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess [tex]x_n[/tex], we want to find a better approximation [tex]x_{n+1}[/tex]that is closer to the root of the equation [tex]x^k e^x = 0.[/tex]

The Newton-Raphson method involves the following steps:

Calculate the function value [tex]f(x_n) = x_n^k e^x_n[/tex] and its derivative [tex]f'(x_n) = k x_n^(k-1) e^x_n.[/tex]

Find the next approximation x_{n+1} by using the formula:

[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]

Let's apply these steps to our equation [tex]x^k e^x = 0[/tex]:

Calculate the function value and its derivative:

[tex]f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n[/tex]

Find the next approximation x_{n+1} using the formula:

[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]

Substituting the function value and its derivative:

[tex]x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)[/tex]

Simplifying the expression by combining like terms:

[tex]x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n[/tex]

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]

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Can someone help me solve this one step equation

Answers

Answer:

b = -108

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] - 6 = \frac{b}{18} \\ cross \: multiply \\ b = - 6 \times 18 \\ b = - 108[/tex]

Hope it will help :)❤

Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same? ​

Answers

Answer:

80 miles for the .9 one.

Step-by-step explanation:

The graph below shows the solution set of which inequality ?? HELP FASTTT

Answers

Answer:

A.

The graph shows the solution set of the equality √x < -1

(No Solutions)

Annette had a 24 karat gold necklace with a mass of 2.3grams. she sold for $123.51.What was the price per gram of her necklace?

Answers

Answer:

$53.70 per gram

Step-by-step explanation:

Just divide the price (123.51) by the amount of grams (2.3) to get your answer, which should be $53.70 per gram

Hopefully this helps - let me know if you have any questions!

someon help me answer this!!

Answers

Answer:

12.0 units is the answer

Step-by-step explanation:

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]

Rounding off,

d = 12.0 units

Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is


PLEASE HELP ME!!!

Answers

1/6 I really don’t know if it’s right

Callie's and jordan's families were driving to their family reunion in Marshall. Callie's family traveled from Ontario to Marshall. Jordan's family traveled from lucerne to Marshall.haw many more miles did one family drive than the other?
A.41.9 miles
B.423.4 miles
C.465.3
D.888.7​

Answers

Answer:

it's 423.4 miles

Step-by-step explanation:

sotry for taking a while I didn't get your notification

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

D

Step-by-step explanation:

They are trying to see how long it takes people to complete the writing portion of the test.

Halle el perimetro de las siguientes figuras. ​

Answers

English please ?I can’t understand

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

I believe it's 4 as 32 fluid ounces is 1 quart

Answer:

ok so you said 40 points but theres only 5 points....xD anyways,

we know that 4 would be as 32 fluid ounces.

that would equal 1 quart.

hope this helps! best of luck!!!!

helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|

A: <
B: >
C: =

Answers

Answer:

=

Step-by-step explanation:

Because |-4| is basically 4 since its the absolute value of that..

PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B

Answers

Answer:

because cfd eaquls a+b lllllllllll

Answer:

Step-by-step explanation:

IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.

Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?​

Answers

Answer:

A is the correct answer .

Step-by-step explanation:

Hope this helps .

The equation that allows you to solve the given equation is (x-3)(2x+5).

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.

The given quadratic equation is:

[tex]2x^{2} -15=x[/tex]

[tex]2x^{2} -x-15=0[/tex]

[tex]2x^{2} -6x+5x-15=0[/tex]

[tex]2x(x-3)+5(x-3)=0[/tex]

[tex](x-3)(2x+5)=0[/tex].......(1)

So, the required equation is equation(1).

Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).

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An electrical appliances shop owner estimates that his sales will increase by 5% every
month. The sales for the first month were 30.000. Find
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ii) the total sales for the first year.(477513.80)​

Answers

Minus them both to get your answer

look at pic 10 pts will mark brainilest

Answers

Answer:

The Answer is C

Step-by-step explanation:

2.00/5= C

can i have brainlist please :)

Evaluate the expression:
5(10 + d?) for d=2

Answers

Answer:

60

Step-by-step explanation:

this uses the distribution property

first plug in 2 for d

5(10+2)

then distribute the 5 to both numbers in the parentheses

50+10=60

Answer:

The answer is 60

Step-by-step explanation:

First you have to plug in the 2 in place of the variable in the equation. Then add 10+2 first. After you add you will get 12, now you do 5x12 and get 60

Find the missing side length.
AJKL ~ AGKH

Answers

The answer should be 15

simplify (-2)^-3
a. -8
b. -1/8
c. 1/8
d. 8

Answers

Answer:

Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8

Answer:

B.) -1/8

Step-by-step explanation:

You flip the problem because of the negative exponent

[tex]\frac{1}{-2^3}[/tex]

This makes the exponent positive

Expand the denominator

(-2) * (-2) * (-2) = 4*(-2) = -8

1/-8 = -1/8

What is the median of 2,1,2,5,3

Answers

Answer:

2

Step-by-step explanation:

Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.

HELP ME WITH THIS GRAPH PLSSSSSSS

Answers

Answer:

It would be 6 miles per hour

Step-by-step explanation:

the points are right above of 5 so it would have to be 6.

Which pair of expressions are equivalent?


27x + 45y and 7(9x + 7y)

2x + 18y and 2(x + 9y)


2(15x + y) and 30x + 15y


10(4x + 5y) and 20x + 10y

Answers

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

find the distance between (-5 3) and (4 -5)​

Answers

Answer:

19 or √145 ≈ 12.04

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

Distance  =  √ ( x ₂  −  x ₁ )²  +  ( y ₂  −  y ₁ ) ²

Substitute the actual values of the points into the distance formula.

√ ( 4  −  (  −  5 )) ²  +  ( ( − 5 ) − 3 ) ²

Simplify:  

√ 145

The result can be shown in multiple forms.

Exact Form:

√ 145

Decimal Form:

12.04159457  … ≈ 12.04

2. Find the length of a side of a square if its area is:
a. 81 square inches
b. cm
c. 0.49 square units
d. m² square units

Answers

Answer:

9 inches ; 0.7 units ; m units

Step-by-step explanation:

The area of a square is give as :

The square of the side length of the square ; that is ;

Area of square = s² ;

Where s =! Side length of the square

Hence ;

A square with area = 81 in²

Length of its side = sqrt(81) = 9 inches

Area of square = 0.49 unit²

Length of its side = sqrt(0.49) = 0.7 units

Area of square = m² unit²

Length of its side = sqrt(m²) = m units

Look at the image for the question:

Answers

9514 1404 393

Answer:

  te, tm, (m-e), t

Step-by-step explanation:

The problem statement tells you how to interpret the expressions and their parts.

Swap the top two expressions on the right and the list will be in the appropriate order:

tetmm-et

The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=

0.15
x
+
20.8

Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit

Answers

9514 1404 393

Answer:

f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallon

Step-by-step explanation:

Given:

  daily cost function c(x) = x +11

  price-demand function p(x) = -0.15x +20.8

Find:

  daily profit function

  maximum daily profit

  quantity sold for maximum profit

  price for maximum profit

Solution:

The revenue is the product of price and demand:

  x·p(x) = -0.15x^2 +20.8x

The profit is the difference between revenue and cost:

  f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11

  f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function

__

The maximum profit will be had a the vertex of the curve, found where ...

  x = -(19.8)/(2(-0.15)) = 66

  f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40

The maximum profit is $642.40, when 66 gallons of ice cream are sold.

__

The price that will result in demand of 66 gallons of ice cream is ...

  p(66) = -0.15(66) +20.8 = 10.9

The price to charge per gallon to maximize profit is $10.90.

The arch support of a bridge can be modeled by y=−0.0012x2, where x and y are measured in feet. Find the height and width of the arch.

Answers

Answer:

it will be 300 feet tall and 1000 feet wide

Step-by-step explanation:

The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

What is an exponential function?

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ba^x+c[/tex]

Here, a,b and c are the real numbers.

The arch support of a bridge can be modeled by the following function,

[tex]y=-0.0012x^2+300[/tex]

Here, x and y are measured in feet.

The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,

[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]

As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,

[tex]w=500-(-500)\\w=1000\rm ft[/tex]

Now similarly at x equal to zero, the function will be,

[tex]y=300[/tex]

Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

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50 points and brainliest!
Solve for x: 3a-b/x-b=1/x+1, if a≠b+1/3
(a picture will be provided as well)

Answers

Answer:

3a-b/(x-b)=1/(x+1)Doing criss cross multiplication

3a(x+1)-b(x+1)=x-b

3ax+3a-bx-b=x-b

3ax-bx-x=b-3a-b

x(3a-b-1)=-3a

x=3a/(3a-b-1)

If Cody has 11 dimes and quarters in his pocket, and they have a combined value of 170 cents, how many of each coin does he have?

Answers

Answer:

12 dimes and 2 quarters

Step-by-step explanation:

12 dimes is 120 cents and 2 quarters is 50 cents that perfectly gives us 170 cents. As worded if he has 11 Dimes and the rest is quarters and we want 170 cents then it's impossible. 11 dimes is going to be 110 cents plus 2 quarters is 160 cents or plus 3 quarters is going to be 185 cents. therefore you are either short or over the money.

Mendeleev was the first to organise elements based on their similarities *
True
False

Answers

Answer: True

Step-by-step explanation:

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