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amid [387]
3 years ago
11

There are 3 factories on the Momiss River. Each emits 2 types of pollutants, labeled P1 and P2, into the river. If the waste fro

m each factory is processed, the pollution in the river can be reduced. It costs $1500 to process a ton of factory 1 waste, and each ton processed reduces the amount of P1 by 0.10 ton and the amount of P2 by 0.45 ton. It costs $1000 to process a ton of factory 2 waste, and each ton processed reduces the amount of P1 by 0.20 ton and the amount of P2 by 0.25 ton. It costs $2000 to process a ton of factory 3 waste, and each ton processed reduces the amount of P1 by 0.40 ton and the amount of P2 by 0.30 ton. The state wants to reduce the amount of P1 in the river by at least 30 tons and the amount of P2 by at least 40 tons.
Required:
Formulate an LP that will minimize the cost of reducing pollution by the desired amounts. Do you think that the LP assumptions (Proportionality, Additivity, Divisibility, and Certainty) are reasonable for this problem?
Business
1 answer:
hichkok12 [17]3 years ago
4 0

Answer:

Kindly check explanation

Explanation:

Using table for our evaluation :

____________POLLUTANT

Factories___P1 ______P2 ____COST

__1_______0.1______ 0.45 ___ 1500

__2______ 0.2 _____ 0.25 ____1000

__3 ______0.40 ____ 0.30 ____2000

_________ ≥ 30 ____ ≥ 40 _____ z

Let amount of waste produced by Factories 1, 2 and 3 equal f1, f2 and f3 respectively.

Linear Program that will minimize the cost of reducing pollution by the desired amounts

Min cost:

min z = 1500f1 + 1000f2 + 2000f3

0.1f1 + 0.2f2 + 0.4f3 ≥ 30

0.45f1 + 0.25f2 + 0.3f3 ≥ 40

f1, f2, f3 ≥ 0

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People with expertise tend to have more influence using ___, whereas those with a strong legitimate power base are usually more
BARSIC [14]

Answer:

C. persuasion; silent authority

Explanation:

Influence tactics can be regarded as steps that can be taken by people in order to exert influence on others in a particular organization, thereby bringing about achieving their goals. If successfully applied, influence tactics can help junior managers or lower level that lack substantial sources of power to be able to exert impact on both behavior and decisions of others within that organization.

Silent Authority can be regarded as silent application of authority, which can be elaborated as when someone complies with a particular request as a result of the requester’s legitimate hierarchical power and role expectations of the target person. This condition is often been referred to as deference to authority. As regards to deference, it takes place, where one comply with ones boss in completion of particular task, let say this task falls within one's job scope and ones boss has the right in making this request, then we can say the influence strategy works without persuasion or negotiation.

As an expert ,one would have broad as well as deep competence in terms of knowledge, experience and skill, with help of practice and education in a specific field. Individuals that has expertise usually have influence with the use of persuasion.

Power provide a person or unit with

opportunity to exert influence as regards organizational outcomes. Influence can be regarded as power in action. It should be noted that People with expertise tend to have more influence using persuasion, whereas those with a strong legitimate power base are usually more successful applying silent authority.

5 0
3 years ago
According to climate data recorded since 1884, the average annual snowfall in philadelphia is 22.3 inches. this value is an exam
Anvisha [2.4K]

Since 1884, climate records have been kept, and they show that Philadelphia experiences an average yearly snowfall of 22.3 inches. An illustration of descriptive statistics is this value.

<h3>What is descriptive statistics in statistics?</h3>

The fundamental characteristics of a dataset identified in a particular study are described, illustrated, and summarized using descriptive statistics. The summary provides details on the data sample and its measurements. Analysts will understand the data more readily as a result.

<h3>What can we conclude from descriptive statistics?</h3>

The features and value distribution of one or more datasets are summarized using descriptive statistics. The central tendency and degree of value dispersion in datasets can be quickly viewed by analysts using the traditional descriptive statistics.

Learn more about descriptive statistics: brainly.com/question/13335435

#SPJ4

6 0
1 year ago
The maximum production of an oil refinery is 1400 barrels per day. The refinery can produce two types of fuel: gasoline and heat
qwelly [4]

Answer:

Maximum total profit = $4,800

Explanation:

When a business is faced with a problem of shortage of a resource which can be used to produced more than one product type, to maximize the use of the resource , the business should allocate it for production purpose in such a way that it maximizes the contribution per unit of the scare resource.

Therefore the Company should allocate the budget cost  to maximize the profit per production cost. This is done as follows:

Calculate the profit per budget cost and rank the product

                                              Gasoline      Heating oil

Profit per product cost         3/6=0.5                    4/8= 0.5

The two products produce the same profit per dollar of cost which is $0.5. So, they are equally ranked.

So the total profit= the budget cost × profit per budget

                           = 9,600× $0.5 =$4,800

Maximum total profit = $4,800

7 0
3 years ago
Kyra has decided to do her speech on trends in vampire fiction. Her two main points are as follows: (1) Many vampire series have
eduard

Answer:

They are not distinct.

Explanation:

When making a statement that is made up different main points, it is important to seperate them into distinct entities that can be easily identify by the reader.

This eases understanding of the reader and makes the piece more appealing.

In this scenario two main points are as follows: (1) Many vampire series have introduced werewolves into the mix. (2) The Twilight series introduced Jacob, a werewolf, into the series.

This is actually a single point broken into 2. Many vampire series like Twilight series introduced werewolves into the mix.

7 0
3 years ago
An increase in the cost of producing a good or service will cause a leftward shift of the supply curve. True False
TEA [102]

Answer:

True

Explanation:

An increase in the cost of production would cause some producers to stop production, supply would fall and the supply curve would shift to the left.

I hope my answer helps you

4 0
3 years ago
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