Answer:
4.5 lb
Step-by-step explanation:
1.5*3 is 4.5
Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.
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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What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
HELP FILE IS BELOW MATH QUESTION ABOUT ANGLES
Answer:
A
Step-by-step explanation:
In image
l
v
A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white or red?
Find the area in square inches. <3
Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression
Answer:
x^2 -2x-24
Step-by-step explanation:
Answer: (x+4)(x-6)
Step-by-step explanation: Plato Answer
If two angles are supplementary and one angle is xº what is the measure of the other angle?
Answer:
Supplementary angles are equal to 180 so whatever number is on one angle the number subract that number with 180 and then you have answer for x
Step-by-step explanation:
Used car auctions give car dealers an opportunity to increase their used car inventory by purchasing cars used as rental cars, assigned to company executives, and other similar activities. Suppose population 1 is all black cars sold at used car auctions, and population 2 is all white cars sold at used car auctions. Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions. Based on this, using both the appropriate symbol and in words, state the one parameter of interest.
a. The parameter of interest is μ the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
b. The parameter of interest is μ1, the mean sale price of all black cars sold at used car auctions.
c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
d. The parameter of interest is μ2, the mean sale price of all white cars sold at used car auctions.
Answer:
c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions
Step-by-step explanation:
Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
The parameter of interest is the difference. Suppose we have that [tex]\mu_1[/tex] is the mean sale price of all black cars sold at used car auctions, while [tex]\mu_2[/tex] is the the mean sale price of all white cars sold at used car auctions. Since the parameter of interest is the difference, it is [tex]\mu_1 - \mu_2[/tex], and the correct answer is given by option c.
I WILL MARK BRAINLIEST DO NOT GUESS OR GIVE ME A FULE IF YOU DO WILL REPORT THANK YOU
There are 20 kittens in a box. Some of them are black. If the probability of randomly picking a black kitten is how many black kittens are in the box?
(Photo above) Please help.
Answer:
12
Step-by-step explanation:
Im not exactly sure but I think you multiply to get the answer
which data set could not be represent by the box plot shown
Answer:
Mean, and the Mode
Step-by-step explanation:
the things it can represent are
Minimum: 4
Maximum: 14
First Quartile: 7
Second Quartile: 9
Third Quartile: 12
Median: 7.5
any help please .. using the last of my points for this :/
Please help answer this question
X= 4 this solution is valid
X= 20 this solution is valid
I neeed help on thesse last two my test ends in 3 min help
Answer:
cjones8806
Virtuoso
38 answers
183 people helped
i need points sorry I cant help
Step-by-step explanation:
green box?
(srry if it isn't correct, but that's what I got!!)
rlly sorry
Evaluate:
2451(4n + 9) = [ ? ]
Please help
Answer:
4545
Step-by-step explanation:
I used a spreadsheet to calculate the value....
n Sum
1 4n+9 13 13
2 4n+9 17 30
3 4n+9 21 51
. .
. .
. .
44 4n+9 185 4356
45 4n+9 189 4545
What are the other side lengths of the triangle?
9514 1404 393
Answer:
24, 26
Step-by-step explanation:
The shortest side of the given triangle is 10 units, so the similar triangle is larger by a factor of 20/10 = 2. The other two sides of the similar triangle are both 2 times the other two sides of the given triangle:
2×12 = 24
2×13 = 26
The other side lengths are 24 and 26 units.
I need help wants 13x+2y-10-7y (you have to simplify it)
Answer:
13x-5y-10
Step-by-step explanation:
Select the correct answer.
Wayne is holding a can of juice that has a diameter of 4 inches. There is a price tag stuck to the side of the can. Wayne places the can on its with
side with the sticker on the bottom and rolls it across a table top at a constant speed. The can reaches Wayne's friend at the other end of the
table in 5 seconds and completes 4 full rotations,
Which function could represent the price tag's height relative to the table top, h(t), after it has been rolling for e seconds?
OA n(t) = 2008(832) +2
O B. h(t) =-2005(522) +2
OC h(t) = –2sin(572) +2
OD. h(t) = 4sin (22) +4
Answer:
A.
Step-by-step explanation:
Trial and error on the Desmos graphing calculator
Answer:
The correct answer is B. h(t)=-2cos(5pi/2t)+2
Step-by-step explanation:
Took the test
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
Complete question :
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples are surveyed to collect the hours per week the husband spends on child care. The sample mean is 7.0 hours per week, and the sample standard deviation is 2.4276 hours per week. Use Excel to answer the following questions. a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Time in your area? b. What is the test statistics of the population mean? c. Using a .05 level of significance, what are the critical values? d. What is your conclusion?
Answer:
H0 : μ = 6.4
H1 : μ ≠ 6.4
Test statistic = - 1.563
Critical value = ±2.023
Fail to reject the null ; there is no significant evidence to support the claim that mean number of hours spent differs
Step-by-step explanation:
H0 : μ = 6.4
H1 : μ ≠ 6.4
Test statistic, Z :
(Xbar - μ) / (s/√n)
(6.4 - 7) / (2.4276/√40)
-0.6 / 0.3838372
T= -1.563
α = 0.05 ; df = n - 1 = 40 - 1 = 39
Critical value(0.05, 39) = ±2.023
|T| > +Tcritical ; Reject the Null
Since |T| < +Tcritical ; then we fail to reject the Null, hence, we conclude that there is no significant evidence to support the claim that mean number of hours spent by married men in child care differs.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Please send me the graph of -x²-5x+6
Answer:
-\left(x-1\right)\left(x+6\right)
Step-by-step explanation:
-\left(x^2+5x-6\right)
According to the graph, the __________________ is 57-43.
Answer:
Range
Step-by-step explanation:
The range is the max value minus the min value
44 points
No links, No silly answers, only thought-out answers.
Simplify the expression.
16(12x)4
The simplified expression is______________.
Please answer with No links, No silly answers, only thought-out answers by 7:30, and it will increase the chance of me not reporting you and picking you as brain list
Answer:
I believe the answer is 64 x 12x
Step-by-step explanation:
16(12x)4 =
16 x 4(12x)
64 x 12x
Solve, using the substitution method. X + y = -11
2x - 3y = 3
A. (-6, -5)
B. (-10, -1)
C. (15, -4)
D. (6, 1)
Answer:
A. (-6,-5)
Step-by-step explanation:
A: Correct because -6+-5=-11------True
and 2(-6)-3(-5) is equal to -12-(-15) and a - plus a - equals a +
so our new equation is -12+15=3-----True
-Your welcome and I hope this helps you, please rate 5 stars =D
Which sentence uses commas correctly?
A) Norah knows how to play the guitar piano and , drums . B) Janet Rick Brian and Lizzy went to the basketball game together .
C) We can ride our bikes , watch a movie , or go swimming at the lake .
D) Our teacher wants us to make a list of topics , brainstorm ideas , and choose one subject .
Answer:
C)
Step-by-step explanation:
It seperates and makes most sense
A helicopter pad has a circumference of 47.5 yards. Find the approximate diameter of the helicopter pad. Use 3.14 for π.
The approximate diameter of the helicopter pad is 15.13 yards.
We can use the formula for a circle's circumference, C = πd , where C is the circumference, d is the diameter, and π is a constant equivalent to roughly 3.14, to determine the estimated diameter of the helicopter pad.We can use the method to solve for the diameter if we know the helicopter pad's circumference to be 47.5 yards. After rearranging the equation, we get d = C/π.Thus, using the provided values as a substitute, we obtain d = 47.5/3.14 = 15.13 yards. (rounded to two decimal places).As a result, the helicopter pad's estimated diameter is 15.13 yards.
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NEED HELP ASAP! WILL GIVE BRAINLY :)
Answer:
y = x - 3
Step-by-step explanation:
Slope = Rise / run
Slope = 4/4 = 1
y-intercept = -3
y = x - 3
3^4 + 3 • 5 =
(Input only whole numbers.)
Numerical Answers Expected!
Answer:
To write 3/4 as a fraction with a common denominator, multiply by 5/5
.
3/4⋅5/5+3/5
To write 3/5
as a fraction with a common denominator, multiply by 4/4
.
3/4⋅5/5+3/5⋅4/4
Write each expression with a common denominator of 20
, by multiplying each by an appropriate factor of 1
.
Tap for more steps...
3⋅52/0+3⋅42/0
Combine the numerators over the common denominator.
3⋅5+3⋅420
Simplify the numerator.
Step-by-step explanation:
Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary. x = in. y ≈ ° z ≈ ° A right triangle is shown. The hypotenuse has a length of x. The other 2 sides have lengths of 24 inches and 7 inches. The angle opposite to the side with length 7 inches is y, and the angle opposite to the side with length 24 inches is z.
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Answer:
x = 25y = 16.3°z = 73.7°Step-by-step explanation:
The length of the hypotenuse can be found using the Pythagorean theorem:
x² = 7² +24² = 49 +576 = 625
x = √625 = 25
__
The angles can be found from the sine relation.
Sin = Opposite/Hypotenuse
sin(y) = 7/25
y = arcsin(7/25) ≈ 16.3°
The acute angles in a right triangle are complementary, so ...
z = 90° -16.3° = 73.7°
Answer:
x = 25 in.
y ≈ 16.3 degrees
z ≈ 73.7 degrees
Step-by-step explanation:
What is the coefficient of the leading term in that binomial?
Expand (x-2)^2 in polynomial form
Answer:
x^2 -4x +4
Step-by-step explanation:
(x-2)(x-2)
x^2 -2x -2x +4
x^2 -4x +4