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frozen [14]
3 years ago
5

Northwoods Backpackers is a retail catalog store in Vermont that specializes in outdoor clothing and camping equipment. Phone or

ders are taken each day by a large pool of computer operators, some of whom are permanent and some temporary. A permanent operator can process an average of 76 orders per day, whereas a temporary operator can process an average of 53 orders per day. The company averages at least 600 orders per day. The store has 10 computer workstations. A permanent operator processes about 1.3 orders with errors each day, whereas a temporary operator averages 4.1 orders with errors daily. The store wants to limit errors to 24 per day. A permanent operator is paid $81 per day, including benefits, and a temporary operator is paid $50 per day. The company wants to know the number of permanent and temporary operators to hire to minimize costs.
Formulate an integer programming model for this problem and solve it by using the computer.

Business
1 answer:
Leokris [45]3 years ago
6 0

Answer:

The minimum cost ( Z ) will be = $636 per day

number of permanent operators = 6

number of temporary operators = 3

Explanation:

considering the information given: the company has ten (10) workstations and also uses both permanent and temporary operators below is the detailed job that can be achieved with this resources

Orders per day

permanent operator ; 76

temporary operator ; 53

company average : (minimum ) 600

Errors per day

permanent operator ; 1.3

temporary operator ; 4.1

average allowable error : maximum ( 24 )

pay per day ; permanent ( $81 ), temporary ( $50 )

creating an integer program model for this problem of finding the number of permanent and temporary operators to hire to minimize costs

Assume number of permanent operators to be X1  and temporary operators to be X2

cost of operators per day would be ( Z ) = 81 X1 + 50 X2  ( first constraint )

workstations to be used by operators = X1 + X2 ≤ 10 (second constraint )

Total number of processed order by operators = 76 X1 + 53 X2 ≥ 600 (third)

allowable errors by the company = 1.3 X1 + 4.1 X2 ≤ 24 ( fourth constraint )

The number of operators must be an Integer = X1 , X2 ≥ 0 ( fifth constraint )

create an excel linear program using both the details given and also the applying the constraints created.

The minimum cost ( Z ) will be = $636 per day

number of permanent operators = 6

number of temporary operators = 3

attached is a snapshot of the final excel linear program

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zubka84 [21]

Answer:

LL = 420 -3\frac{25}{\sqrt{25}}= 405 represent the lower limit

UL = 420 +3\frac{25}{\sqrt{25}}= 435 represent the Upper limit

So then the limits for this case are (405, 435)

Explanation:

Let's define X as our random variable that represent the "number of calories for a chicken breast", and we have the following data:

\bar X = 420 , \sigma= 25

The select a sample of 25 chickens , n = 25. And we want to find the limits for a confidence interval within 3 deviations from the mean with z =3.

We assume that the distribution for X is normal. So then the distribution for the sample mean is also normal.

And for this case the confidence interval would be given by:

(\bar X -z\frac{\sigma}{\sqrt{n}} < \mu < \bar X -z\frac{\sigma}{\sqrt{n}})

So the limits are defined as:

LL = \bar X -z\frac{\sigma}{\sqrt{n}} represent the lower limit

UL = \bar X +z\frac{\sigma}{\sqrt{n}} represent the Upper limit

Since we have all the values given we cn replace like this:

LL = 420 -3\frac{25}{\sqrt{25}}= 405 represent the lower limit

UL = 420 +3\frac{25}{\sqrt{25}}= 435 represent the Upper limit

So then the limits for this case are (405, 435)

5 0
3 years ago
On October 1, 20X3, Green Corporation paid $450,000 for all of Yellow Company's outstanding common stock. On that date, the book
Damm [24]

Answer:

The differential implicit in this acquisition is $110,000

Explanation:

The computation of the differential implicit is shown below:

Differential implicit = Amount paid - book value

                               = $450,000 - $340,000

                               = $110,000

The differential implicit shows a difference between the amount paid and the book value so we do not consider the fair value which is given in the question

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The ________, which replaces workers with technology, is another cause of the changes in the job market.
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The automation of the workplace, which replaces workers with technology, is another cause of the changes in the job market.

<h3><u>What is automation?</u></h3>
  • A broad range of technologies that minimize human involvement in operations are referred to as automating.
  • By predetermining decision criteria, subprocess linkages, and related actions — and embodying those predeterminations in computers – human intervention is decreased.
  • An industrial control system with tens of thousands of input measurements and output control signals can be automated, as can a thermostat controlling a boiler in a home.
  • The banking industry has also been impacted by automation. Control complexity can range from straightforward on-off control to sophisticated multivariable algorithms.

Automation is the use of a variety of tools and control systems, such as machinery, factory processes, boilers, and heat-treating ovens, as well as the activation of telephone networks and the steering and stabilization of ships, aircraft, and other applications and vehicles with a minimum of human intervention.

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G.R. Dry Foods Distributors specializes in the wholesale distribution of dry goods, such as rice and dry beans. The firm’s manag
slamgirl [31]

Answer:

d. The price will decrease, because dry beans and rice are inferior goods.

Explanation:

the options are missing, so I looked them up:

a. The price will decrease, because dry beans and rice are normal goods.

b. The price will increase, because dry beans and rice are normal goods.

c. The price will increase, because dry beans and rice are inferior goods.

d. The price will decrease, because dry beans and rice are inferior goods.

Inferior goods are those goods whose quantity demanded decreases as consumer income increases. This happens because inferior goods have several substitute products that cost more, but as consumer income increases, consumers will tend to purchase the more expensive substitute goods instead of the cheaper inferior ones. I.e. as consumer income increases, they will seek to purchase higher quality goods, and inferior goods are generally low quality goods that are mostly purchased by people located at the lower socio-economic classes. Other examples of inferior goods are canned meat, instant noodles and cheap frozen foods.

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