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jarptica [38.1K]
3 years ago
13

There are 20 automatic turning machines in the lathe department. Batches of parts are machined in the department. Each batch con

sists of setup and run times. Batch size = 100 parts. The standard time to set up a machine for each batch is 5.0 hours. Four setup workers perform the setups. They each work 40 hours per week. Once a machine is set up, it runs automatically, with no worker attention until the batch is completed. Cycle time to machine each part = 9.0 min; thus, it takes 15 hours of run time to produce a batch. Assume all machines are perfectly reliable. What is the production output of the lathe department in 40 hours of operation per week?
Business
1 answer:
Semmy [17]3 years ago
5 0

Answer:

The capacity of the lathe department is 3200 parts/week. The workers capacity is the bottleneck.

Explanation:

In this case we have to compare the machine capacity and the worker capacity, and detecting shich one is limitating the capacity of the department.

Machine capacity

The time it takes for a machine to process a batch is

Time_{batch}=T_{setup} + T_{machining}=5+(9/60)*100=5+15=20 h

In 40-hour week, every machine can process 2 batches/week.

With 20 machines, the capacity of the department is 2*20=40 batch/week (4000 pcs/week).

Workers capacity

With 40-hour week and 5-hours setup, every worker can make (40/5)=8 setups a week.

If the department has 4 workers, the amount of setups that can be done is 4*8=32 setups/week. That means that only 32 batches can be processed per week (3200 pcs/week).

The workers resource is the limitating capacity, and therefore the capacity of the lathe department.

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This is known as rehearsal.
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umka21 [38]

Explanation:

Over the past several decades, advances in technology, greatly reduced the cost of making computers which resulted in the decline of the equilibrium price of  computers and also resulted in increased equilibrium quantity. The reduction in the computer prices also caused an increase in the consumer surplus.

computer price down -> equilibrium price down

computer price down -> equilibrium quantity up

computer price down -> consumer surplus up

The producer surplus increases due to increase in quantity and at the same time producer surplus decreases due to decrease in price.

computer price down ->  producer surplus down

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8 0
3 years ago
Lance lopes went to his bank to find out how long it will take for $1,500 to amount to $2,700 at 15% simple interest. can you so
denis23 [38]
To find simple interest: 

Time = Interest/(Principle)(Rate)

Interest is the amount of interest paid
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Rate is the percentage of principle charged as interest each year
Time is the years of the loan

P=Principle amount of $1,500
I=Interest amount of $1,200 (Take the new amount of $2,700 and subtract from the principle that is $1,500 which gives you $1,200)
r= as a decimal .15 (15%/100)
t=unknown

T=I/PR

T=1,200/(1,500)(.15)
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3 0
3 years ago
A T-bill that is 290 days from maturity is selling for $96,040. The T-bill has a face value of $100,000.
umka2103 [35]

Answer: a 0.049, 0.05 and 0.05 or 5%

b 0.039, 0.041 and 0.041 or 4%

Explanation:

Ai discounted yield = [(Face value - purchase price)/Face value] * 360/ maturity

Discount yield =:[(100000 - 96040)/100000] * 360/290

= 0.0396* 1.24

= 0.049

ii. Bond equivalent yield (BEY) = [(Face value - purchase price)/purchase value] * 365/M

BEY= [(100000 - 96040)/96040] * 365/290

BEY = 0.05

iii EAR = [(1+BEY/n)exp n - 1)

EAR = [(1 + 0.05/(365/290)) exp (360/290) - 1]

EAR = [(1 + 0.05/1.26) exp (1.26) - 1

EAR = (1.04) exp (1.26) - 1

EAR = 0.05 or 5%

The same formula are applied for the B part

Discount yield = [(100000-96040)/100000] * 360/365

Discount yield = 0.0396 * 0.986

= 0.039

B ii. BEY = [(100000 - 96040)/96040] * 365/365

BEY = 0.041 × 1

BEY = 0.041

B iii. EAR = [(1 + 0.041/(365/365))exp (365/365) - 1

EAR = (1 + 0.41) - 1

EAR = 0.041 or 4%

4 0
3 years ago
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LekaFEV [45]

Answer:

The Total manufacturing costs will increase while the unit manufacturing costs will decrease

Explanation:

The most likely behavior of the total manufacturing costs as well as the unit manufacturing costs is that the Total manufacturing costs will increase while the unit manufacturing costs will decrease because Atlas Manufacturing has the capacity to produce 50,000 valves annually which is per year in which it produces 40,000 valves and is about to increase the production to 45,000 valves the next coming year which will cause the manufacturing costs to increase and inturn cause the unit manufacturing costs to decrease.

6 0
3 years ago
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