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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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Calculation of equal amount to deposit each year to get the future amount:


It is given that a manufacturer of triaxial accelerometers wants to have $2,800,000 available 10 years from now. So we can say that Future value is $2,800,000. We are also given that the deposit rate is 6% per year.

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Hence,

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8 0
3 years ago
aveWhich of the following is a tax? I. A 1 percent special sales tax for funding local road construction. II. A fee paid to the
djverab [1.8K]

Answer:

III. An income tax imposed by Philadelphia on persons working within the city limits.

Explanation:

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3 0
3 years ago
g Knowledge Check 03 Vineyard Corporation, a manufacturer of fine wines, began the year with 20,000 bottles in inventory. The co
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Answer:

195,000 bottles

Explanation:

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Bedeker, Inc., has an issue of preferred stock outstanding that pays a $5.55 dividend every year in perpetuity. If this issue cu
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Answer:

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