The marginal cost of drilling an oil well depends on the depth at which you are drilling; drilling becomes more expensive, per meter, as you dig deeper into the earth. Let C (x) be the marginal cost, in rands per meter, with x the depth, in meters. If the marginal costs are a rands up to a depth of 900 meters and increases at a constant rate of b rands per meter after a depth of 900 meters, 1.1 Write down a formula for C' (x) if x e (900, o). 1.2 Find the variable cost of increasing the depth of an existing well from 900 to 1750 meters.

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
The marginal cost of drilling an oil well depends on the depth at which you are drilling; drilling becomes more
expensive, per meter, as you dig deeper into the earth. Let C'(x) be the marginal cost, in rands per meter, with
x the depth, in meters. If the marginal costs are a rands up to a depth of 900 meters and increases at a constant
rate of b rands per meter after a depth of 900 meters,
1.1
Write down a formula for C (x) if x e (900, ∞).
1.2
Find the variable cost of inereasing the depth of an existing well from 900 to 1750 meters.
Transcribed Image Text:The marginal cost of drilling an oil well depends on the depth at which you are drilling; drilling becomes more expensive, per meter, as you dig deeper into the earth. Let C'(x) be the marginal cost, in rands per meter, with x the depth, in meters. If the marginal costs are a rands up to a depth of 900 meters and increases at a constant rate of b rands per meter after a depth of 900 meters, 1.1 Write down a formula for C (x) if x e (900, ∞). 1.2 Find the variable cost of inereasing the depth of an existing well from 900 to 1750 meters.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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