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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.

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
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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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.
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