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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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Given the following owner’s income and expense estimates for an apartment property, formulate a reconstructed operat-ing stateme
scoundrel [369]

Answer:

$363,000

Explanation:

Calculation for the property’s indicate market value.

First step

Operating Statement

PGI: $66,000

(10 units x $550 x 12 month )

Less: Vacancy Loss(3,300)

(5%*66,000)

EGI:62,700

Less: Operating Expenses

Power$2,200

Heat1,700

Janitor4,600

Water3,700

Maintenance4,800

Management3,000

Reserve for CAPX2,800

Total Operating Expenses$22,800

Net Operating Income$39,900

(62,700-22,800)

Second step is to find the property’s indicate market value.

Using this formula

Market Value=NOI/ Ro

Let plug in the formula

Market Value=$39,900/11.0%

Market Value=$363,000

Therefore the property’s indicate market value is

$363,000

6 0
3 years ago
During its first year of operations, Bramble Corp. had these transactions pertaining to its common stock. Jan. 10 Issued 25,200
crimeas [40]

Answer and Explanation:

The journal entries are shown below:

a.

On Jan 10

Cash Dr $100,800 (25200 shares × $4 )

              To Common Stock  $100,800

(Being the common stock is issued)

To record this, we debited the cash as it increased the assets and, at the same time, it also increased the total equity of the stockholder so common stock is credited

On July 1

Cash $357,000  (51,000 shares × $7)

     To Common stock $204,000  (51,000 shares × $4)

      To Additional Paid in capital in excess of par value - Common stock   $153,000  (51,000 shares × $3)

(Being the issuance of the common stock is recorded)

To record this, we debited the cash as it increased the assets and, at the same time, it also increased the total equity of the stockholder and the common stock is credited with the additional capital paid for common stock

b.

On Jan 10

Cash $100,800  (25,200 shares × $4)

     To Common stock $25,200  (25,200 shares × $1)

      To Additional Paid in capital in - Common stock   $75,600   (25,200 shares × $3)

(Being the issuance of the common stock is recorded)

To record this, we debited the cash as it increased the assets and, at the same time, it also increased the total equity of the stockholder and the common stock is credited with the additional capital paid for common stock

On July 1

Cash $357,000  (51,000 shares × $7)

     To Common stock $51,000  (51,000 shares × $1)

      To Additional Paid in capital in - Common stock   $306,000   (51,000 shares × $6)

(Being the issuance of the common stock is recorded)

To record this, we debited the cash as it increased the assets and, at the same time, it also increased the total equity of the stockholder and the common stock is credited with the additional capital paid for common stock

8 0
3 years ago
"which technique is the best way the scrum master can ensure that the development team communicates effectively with the product
faltersainse [42]

I believe the answer is: Monitor communications between them and facilitate direct collaboration

In this case, Facilitating direct collaboration is usually being done by providing a clear and direct method of communication between product owner and the development team, so the development team could directly ask for opinion for every differentiation that they made in the product.

5 0
3 years ago
As a company works to build relationships with its customers, its leaders must determine which customer needs they will seek to
Zepler [3.9K]

Answer:

A. Monitoring customer trends in the industry and of consumers as a whole

Explanation:

8 0
3 years ago
What should be the current price of a share of stock if a $5 dividend was just paid, the stock has a required return of 20%, and
Gala2k [10]

Answer:

Current Price of the Share Stock is $ 37.86 (D)

Explanation:

Using dividend valuation method with a constant growth rate assumption, share price is calculated as : Po =D1/(Ke-g).

Where;  Po ⇒Market Value excluding any dividend currently payable

            D1= Do(1+g)⇒Expected dividend in one year's time

            Ke =Required rate of return by shareholders

             g= Dividend growth rate

<u>Calculation</u>

D1 = 5(1+0.06)= $5.3

Hence, Po= 5.3/(0.20-0.06)

            Po=$37.86

The share price is expected to reflect the future expected stream of income i.e  dividends and capital gains ,discounted at an appropriate cost of capital.

Some of the assumptions of dividend valuation method include but not limited to the following:

- it assumed that investors act rationality and in the same way ;

-the dividend either show growth or no growth;

-the discount rate used exceeds the dividend growth rate.

5 0
3 years ago
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