Answer:
5,000+6,000+7,000+,9,000+6,000+5,000= 38,000
Step-by-step explanation:
The minimum cost of meeting the demands of the next six months is $7475.00.
Here, we have,
To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.
Let's break down the problem into several steps:
Step 1: Calculate the regular production capacity and overtime capacity:
Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.
Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.
Given:
Regular working hours per month: 150 hours
Overtime hours per month: 40 hours
Time to produce a pair of shoes: 20 minutes (1/3 of an hour)
Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month
Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month
Step 2: Create a monthly production plan:
We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.
Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.
Month 1:
Demand: 5000 pairs
Additional production needed: 5000 - 500 = 4500 pairs
Month 2:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500) = 1000 pairs
Month 3:
Demand: 7000 pairs
Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs
Month 4:
Demand: 9000 pairs
Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs
Month 5:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Month 6:
Demand: 5000 pairs
Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Step 3: Determine the hiring and firing decisions:
To minimize costs, we need to hire or fire workers based on the additional production needed for each month.
Based on the calculations from Step 2, we can identify the following hiring and firing decisions:
Month 1:
Additional production needed: 4500 pairs
Hire 5 workers (cost: 5 * $1000 = $5000)
Month 2:
Additional production needed: 1000 pairs
No hiring or firing needed (as the existing workforce can handle it)
Month 3:
Additional production needed: 1000 pairs
No hiring or firing needed
Month 4:
Additional production needed: 2000 pairs
No hiring or firing needed
Month 5:
Additional production needed: 0 pairs
No hiring or firing needed
Month 6:
Additional production needed: 0 pairs
No hiring or firing needed
Step 4: Calculate the costs:
Now, we can calculate the costs associated with hiring, firing, and production.
Hiring cost: $5000 (Month 1)
Firing cost: $0 (No firing needed)
Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.
Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)
Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50
Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50
Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00
Total cost:
Total cost = Hiring cost + Firing cost + Holding cost
= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)
= $7475.00
Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.
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Please answer the question correctly with factual information for brainliest.
Answer:
4.5
Step-by-step explanation:
[tex]4= \sqrt[3]{64}\\5 = \sqrt[3]{125}[/tex]
[tex]\sqrt[3]{100}[/tex] is in between [tex]\sqrt[3]{64} \\[/tex] and [tex]\sqrt[3]{125}[/tex] so that means that the answer is between 4 and 5 so the best answer is 4.5.
Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66
Answer:
B)
Step-by-step explanation:
x+36=102
x=102-36
x=66
Therefore, substitute x in your formula for x+14
66+14
A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a given city. One school had a random sample of 39 students had a sample mean of 25.90 with a sample standard deviation of 3.49. The second school had a random sample of 37 students had a sample mean 27.70 with a sample standard deviation of 2.47. What is the lower bound of the 95% confidence interval for the difference in means
Solution :
95% confidence interval for the difference between the means of ACT scores between two schools, is given by :
[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]
[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]
[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]
[tex]$n_1=39, \ \ n_2=37$[/tex]
M.E. , Margin of error,
[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]
[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]
[tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]
= 9.222
s = 3.03
[tex]$t_{74,0.05} = 1.99$[/tex]
[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]
= 1.4
Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]
= [-3.2, -0.4]
Therefore, the lower bound is -3.2
25. A new app was downloaded 175 times in its first week Since then the number of downloads
increased by 16.5% each week. Use a continuous exponential growth model to approximate
the number of times the app was downloaded in 2 week
37
0/1
37
Answer:
238 times
Step-by-step explanation:
Given
[tex]a = 175[/tex] -- first week
[tex]r = 16.5\%[/tex]--- growth per week
[tex]t = 2[/tex] --- time
Required
The number of times it was downloaded in 2 weeks
An exponential growth is represented as:
[tex]y = a(1 + r)^t[/tex]
So, we have:
[tex]y = 175 * (1 + 16.5\%)^2[/tex]
[tex]y = 175 * (1.165)^2[/tex]
[tex]y = 175 * 1.357225[/tex]
[tex]y = 237.514375[/tex]
[tex]y = 238[/tex] -- approximated
Use two unit multipliers to convert 4000 square inches to square feet.
Answer:
(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2
Step-by-step explanation:
4,000 Square Inches =
27.777778 Square Feet
Which is the graph of f(x) = 3x?
Help me
Brandee wants to add new wallpaper to her wall around the window. The inner light blue rectangle represents the window and the outer orange rectangle represents the wall around the window. What is the area of the wall around the window, or the orange rectangle around the blue rectangle? Select the correct number from the drop down menu to show the area of the wall around the window.
A= Choose... ft2
Answer:
What are the answer choices?
Help me please, I need this
321,300,0
Multiply 20x17x15x18x35
20×17= 340
5×18= 90
340+90= 430
answer 430 km
i hope this helps ^^
Math! Please help marking brainliest if it's correct and Explain
Answer:
D. The median, 5, is greater than the mean, 4,
Step-by-step explanation:
Median: Put them from least to greatest, ( but they are) then find the middle
Mean: Add all the numbers together= 20, divide that by the numbers you added from 5: 20/5=4
5 from median is < than mean 4
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Hope this helps
What is the surface area of the figure below?
12 ft
Step-by-step explanation:
6 ft+3 ft+3 ft=12 ft
g(x)=2x
h(x)=4x-3
Find (g-h)(2)
Answer:
-1
Step-by-step explanation:
g(x) = 2x
h(x) = 4x - 3
(g - h)x = g(x) - h(x)
g(x) - h(x) = 2x - 4x + 3
g(2) - h(2) = 2*2 - 4*2 + 3
g(2) - h(2) = -4 + 3
g(2) - h(2) = - 1
peter weighs is 105 kg he wants to lose 500 g per week how many weeks will it take for him to have a mass of 90 kg ?
Answer:
it will take him 30 weeks
Step-by-step explanation:
2 weeks = 1 kilogram lost
105-90=15
1 x 15 = 15
2 x 15 = 30
Solvex2
- 4x=21
using the zero product property.
Answer:
The answer is (x + 3) (x - 7) = 0
Step-by-step explanation:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x(x - 7) + 3(x - 7) = 0
(x + 3) (x - 7) = 0
Thus, The answer is (x + 3) (x - 7) = 0
-TheUnknownScientist
3,984,896 rounded to the nearest hundred
Answer:
3,984,896 rounded to the nearest hundred is 3,984,900
Question 23 of 25
Find x. Round your answer to the nearest integer.
15
37
х
O
A. 6
B. 9
0 o o
C. 12
D. 8
Answer:
[tex]x[/tex] rounded to the nearest integer would be 12.
Step-by-step explanation:
In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.
The value of x in the given triangle is 12, Option C is correct.
The given triangle is a right angled triangle.
We need to find the value of x.
We know that cosx is adjacent side by hypotenuse.
Cos 37 = Adjacent side/ Hypotenuse
The value of cos37 degrees is 0.7654
0.7654 = x/15
15×0.7654=x
11.5 =x
12=x
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WILL MARK BRAINLIEST!!!!!
In A ABC, AB= 6 cm, AC= 15 cm, and mZA= 48°
What is the area of A ABC?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
cm?
Answer:
33.44 cm²
Step-by-step explanation:
sorry if incorrect
What are the zeros of the function y = 2x2 + 9x+4 ?
Help pls! ;-;
Answer:
x = {-4, -1/2}
Step-by-step explanation:
2x² + 9x + 4 = 0
Factor
(2x + 1)(x + 4) = 0
2x + 1 = 0
x = -1/2
x + 4 = 0
x = -4
x = {-4, -1/2}
find 5 consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of two numbers
Answer:
The five odd numbers are:
23, 25, 27, 29, and 31
Step-by-step explanation:
A random odd number is written as:
2*n + 1
Where n is an integer.
Then 5 consecutive odd numbers will be:
2*n + 1
2*(n + 1) + 1
2*(n + 2) + 1
2*(n + 3) + 1
2*(n + 4) + 1
Now we want that the sum of the first 3 numbers to be 15 greater than the sum of the two last numbers, then:
(2*n + 1) + (2*(n + 1) + 1) + (2*(n + 2) + 1) = 15 + (2*(n + 3) + 1) + (2*(n + 4) + 1)
Now we just need to solve this for n:
(2*n + 1) + (2*n + 3) + (2*n + 5) = 15 + (2*n + 7) + (2*n + 9)
6*n + 9 = (15 + 7 + 9) + 4*n
6*n - 4*n = 15 + 7 + 9 - 9
2*n = 15 + 7 = 22
n = 22/2 = 11
Then the five numbers are:
(2*11 + 1) = 23
(2*(11 + 1) + 1) = 25
(2*(11 + 2) + 1) = 27
(2*(11 + 3) + 1) = 29
(2*(11 + 4) + 1) = 31
Which could be the function graphed below?
Answer:
The answer is f(x) =√x+4. It would be last one.
HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP
Answer:
HL theorem
Step-by-step explanation:
since NP⊥OM, so, L H is a right angle.
and NM = OP as hypotenuse
HL theorem
NP is perpendicular to OM
<NHO=90°NM =OP given
So the triangles are congruent
The factors 11 and 12 are a factor pair of 137.
O A. True
B. False
Answer:
False
Step-by-step explanation:
[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]
A BIT OF HELP HERE- PLEASEE
Answer:
Solution given:
G=-17
H=5
distance =-17-5=-22
since distance is always positive so
distance between GH: 22 units.
Location
G=-17H=5Find distance
|-17-5||-22|22unitsIsaiah’s vegetable garden is `15` feet long by `5` feet wide.
He plans to increase the width and length of his garden and put a fence around it.
He writes this expression for the total amount of fencing:
(x+15) + (x+5) + (x+15) + (x+5)
Describe what `x` represents in this situation.
Answer:
Step-by-step explanation:
x is the quantity by which the original measurements of the garden is increased. For example: the original width is 5 ft and x is the amount by which this is increased.
x here is the added value in the width and length of his garden to increase the fencing.
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.
He wants to increase the width and length of his garden and put a fence around it.
He writes an expression for the same, we need to find what is x here,
(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,
So, simply we can say that, x here is the extra length and width.
The farmer added x to each width and the length to increase his fencing,
So, his new dimension will be = x+15 and x+5
So, the perimeter = 2(x+15+x+5)
Here, the perimeter is fencing =
= 2(x+15+x+5)
= x+15+x+5+x+15+x+5
Hence, x here is the added value in the width and length of his garden to increase the fencing.
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plz help me 5th grade work
Answer:
8 AND 12
Step-by-step explanation:
MAURICE 8
MIRANDA 12
Pam says that the temperature of liquid drops more in the first three minutes of cooling then it does between time nine minutes and time 12 minutes. Is pam correct give a reason for your answer
Answer:
Pam is correct!
Step-by-step explanation:
Pam is correct it would be between nine minutes and 12!
Which statement compares the limit as x approaches –4 for the two graphs? In both graph I and graph II, the limit is 5. In both graph I and graph II, the limit does not exist. In graph I, the limit does not exist, but in graph II, the limit is 5. In graph I, the limit is 8, but in graph II, the limit does not exist.
ANSWER: A
Answer:
(Thanks) it's A because the limit is in the same place on both graphs. The filled-in dot doesn't affect the limit at all, it just means the "real" value of x=-4 is 8, but the "limit" is still at 5 either way.
23/100 converted to a decimal
Write at least three expressions that are equivalent to 3(2x - 5)
Answer:
6x - 15
6x - (5 · 3)
(3 · 2x) - 15
So, for #1, we can just simplify 3(2x - 5) to get another expression:
3(2x - 5),
6x-15
For the next one, we could make a new equation that equals 6x-15:
(3x)+(3x)+(5 *-3)
Then for the last one, how about rewrite it so all of the values are inversely negated?
3(2x - 5),
-3(-2x +5)
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertizer 1.50 0.1879 6.12 0.000
S= 0.8404; R-Sq= 82.4% R-Sq(adj) = 80.28%
Required:
What is the equation of the least squares regression line from this sample?
Answer:
Y = 10.1 + 1.50x
Step-by-step explanation:
From the data contained in the computer output for linear regression
The coefficient of intercept = 10.1
coefficient of fertilizer = 1.50
Sample of an Equation of least squares regression line
y = a + bx
where : a = intercept , b = slope
hence the required equation will be
Y = 10.1 + 1.50x
y = yield , x = fertilizer
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.
annual premium: $
quarterly premium: $
Answer:
Annual premium = $1,500 per year
Quarterly premium = $375 per quarter
Step-by-step explanation:
Given:
Insured amount of term insurance plan = $15,000
Number of year = 10 year
Find:
Annual premium
Quarterly premium
Computation:
Annual premium = Insured amount of term insurance plan / Number of year
Annual premium = $15,000 / 10
Annual premium = $1,500 per year
Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year
Quarterly premium = 15,000 / (10 x 4)
Quarterly premium = 15,000 / 40
Quarterly premium = $375 per quarter