An offshore platform requires water resources to support daily operation and activities. Supplying water to offshore platform is mainly executed in two conventional ways: transported using offshore supply vessel (OSV) and self- produced on-board platform using seawater desalination process commonly known as a freshwater generator (FWG). An alternative method such as water recycling is also receiving growing attention as one of the promising integrated solutions for improvement of water resources. However, each water supply option has different characteristics and limitations in terms of supply capacity, associated cost and water quality. Hence, it is difficult to identify which water supply source can fulfil the demand and is cost-effective. Another alternative method is by reusing/recycling water by using wastewater treatment plant (WWT). (#Note : There is no maximum capacity stated for FWG and WWT in the first question only the maximum capacity of OSV is stated ) a.The maximum water OSV can supply is 2,400 m³ per day. The OSVtransports a maximum amount of water at the rate of RM 10.30 per m3,whereas the cost of generating water via FWG is RM 9.00 per m3 andrecycling water via WWT is at the rate of RM 5.00 per m3. Based on theinformation given, use any of the above techniques to supply 10,000 m3water to the off-shore platforms within the budget of RM 85,000 toRM 90,000. All mathematical expressions used must be shown clearly.b.In supplying water via OSV, FWG and WWT, the cost of water per m3may vary. Given the price of transporting water via OSV is RM AA per m3,cost to generate water by FWG is RM BB per m³, and the cost of recyclingwater with WWT is RM cc per m3. OSV, FWG and WWT can supply upto maximum amount of 2,400 m3, 15,000 m³ and 3,000 m³ water per dayrespectively. By assuming AA, BB and CC are any integer values between 8and 15, provide your plan in supplying 20,000 m³ of water to the offshoreplatform at a minimum total cost. Show that the plan you havesuggested is the cheapest.

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Answered: a. The maximum water OSV can supply is…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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An offshore platform requires water resources to support daily operation and activities. Supplying water to offshore platform is mainly executed in two conventional ways: transported using offshore supply vessel (OSV) and self- produced on-board platform using seawater desalination process commonly known as a freshwater generator (FWG). An alternative method such as water recycling is also receiving growing attention as one of the promising integrated solutions for improvement of water resources. However, each water supply option has different characteristics and limitations in terms of supply capacity, associated cost and water quality. Hence, it is difficult to identify which water supply source can fulfil the demand and is cost-effective. Another alternative method is by reusing/recycling water by using wastewater treatment plant (WWT).

(#Note : There is no maximum capacity stated for FWG and WWT in the first question only the maximum capacity of OSV is stated )

a.
The maximum water OSV can supply is 2,400 m³ per day. The OSV
transports a maximum amount of water at the rate of RM 10.30 per m3,
whereas the cost of generating water via FWG is RM 9.00 per m3 and
recycling water via WWT is at the rate of RM 5.00 per m3. Based on the
information given, use any of the above techniques to supply 10,000 m3
water to the off-shore platforms within the budget of RM 85,000 to
RM 90,000. All mathematical expressions used must be shown clearly.
b.
In supplying water via OSV, FWG and WWT, the cost of water per m3
may vary. Given the price of transporting water via OSV is RM AA per m3,
cost to generate water by FWG is RM BB per m³, and the cost of recycling
water with WWT is RM cc per m3. OSV, FWG and WWT can supply up
to maximum amount of 2,400 m3, 15,000 m³ and 3,000 m³ water per day
respectively. By assuming AA, BB and CC are any integer values between 8
and 15, provide your plan in supplying 20,000 m³ of water to the offshore
platform at a minimum total cost. Show that the plan you have
suggested is the cheapest.

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