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.

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...
icon
Related questions
Question

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.
Transcribed Image Text: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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning