Calculus – NBC Institute

QTB – May 2017 – L1 – SA – Q6 – Mathematics

This question asks to calculate the marginal revenue at a given sales volume.

Question

If the sales function of a company is given as what is the marginal revenue when

A. 122
B. 120
C. 125
D. 130
E. 135

Answer

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Tags: Business Mathematics, Calculus, Derivatives, Marginal Revenue
Level: Level 1

Topic: Mathematics
Series: MAY 2017

QTB – MAY 2017 – L1 – SA – Q5 – Mathematics

A multiple-choice question asking for the point where the slope of a given function is zero.

Question

If , then the point at which the slope is zero is:

A. (-3,7)
B. (3,7)
C. (-3,-7)
D. (3,-7)
E. (3,-11)

Answer

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Tags: Calculus, Differentiation, Functions, Mathematical Modelling, Slope
Level: Level 1

Topic: Mathematics
Series: MAY 2017

QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance

Find the level of output at which profit is maximized using given revenue and cost functions.

Question

Given that the Total Revenue (TR) function is:

and the Total Cost (TC) function is:

Determine the level of output at which profit is maximized. (6 Marks)

Answer

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Tags: Calculus, Output Level, Profit Maximization, Total Cost, Total Revenue
Level: Level 1

Topic: Mathematics of Business Finance
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q20 – Mathematics

This question identifies the condition at the stationary point of a function.

Question

A stationary point for the function $f (x)$ is a point at which:

A. $< 0$
B. $= 0$
C. $> 0$
D. $= 0$
E. $0$

Answer

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Tags: Calculus, Functions, Stationary Points
Level: Level 1

Topic: Mathematics
Series: NOV 2015

QT – Nov 2016 – L1 – Q6b – Elements of Calculus

Calculate the number of tons of low and high-grade steel to produce to maximize total revenue and determine the maximum total revenue.

Question

Tema Steel Plant is capable of producing tons per day of low-grade steel and tons per day of high-grade steel, where:

If the fixed market price of low-grade steel is GH¢6.90 and the fixed market price of high-grade steel is GH¢13.80:

i) Determine the number of tons of low-grade steel and high-grade steel to be produced to maximize total revenue. (10 marks)

ii) Determine the maximum total revenue. (4 marks)

Answer

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Tags: Calculus, Production, Revenue Maximization, Steel Plant
Level: Level 1

Topic: Elements of Calculus
Series: NOV 2016

QTB – May 2017 – L1 – SA – Q6 – Mathematics

This question asks to calculate the marginal revenue at a given sales volume.

Question

If the sales function of a company is given as what is the marginal revenue when

A. 122
B. 120
C. 125
D. 130
E. 135

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Mathematics, Calculus, Derivatives, Marginal Revenue
Level: Level 1

Topic: Mathematics
Series: MAY 2017

QTB – MAY 2017 – L1 – SA – Q5 – Mathematics

A multiple-choice question asking for the point where the slope of a given function is zero.

Question

If , then the point at which the slope is zero is:

A. (-3,7)
B. (3,7)
C. (-3,-7)
D. (3,-7)
E. (3,-11)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Calculus, Differentiation, Functions, Mathematical Modelling, Slope
Level: Level 1

Topic: Mathematics
Series: MAY 2017

QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance

Find the level of output at which profit is maximized using given revenue and cost functions.

Question

Given that the Total Revenue (TR) function is:

and the Total Cost (TC) function is:

Determine the level of output at which profit is maximized. (6 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Calculus, Output Level, Profit Maximization, Total Cost, Total Revenue
Level: Level 1

Topic: Mathematics of Business Finance
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q20 – Mathematics

This question identifies the condition at the stationary point of a function.

Question

A stationary point for the function $f (x)$ is a point at which:

A. $< 0$
B. $= 0$
C. $> 0$
D. $= 0$
E. $0$

Answer

Find Related Questions by Tags, levels, etc.

Tags: Calculus, Functions, Stationary Points
Level: Level 1

Topic: Mathematics
Series: NOV 2015

QT – Nov 2016 – L1 – Q6b – Elements of Calculus

Calculate the number of tons of low and high-grade steel to produce to maximize total revenue and determine the maximum total revenue.

Question

Tema Steel Plant is capable of producing tons per day of low-grade steel and tons per day of high-grade steel, where:

If the fixed market price of low-grade steel is GH¢6.90 and the fixed market price of high-grade steel is GH¢13.80:

i) Determine the number of tons of low-grade steel and high-grade steel to be produced to maximize total revenue. (10 marks)

ii) Determine the maximum total revenue. (4 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Calculus, Production, Revenue Maximization, Steel Plant
Level: Level 1

Topic: Elements of Calculus
Series: NOV 2016

Question Tag: Calculus

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QTB – May 2017 – L1 – SA – Q6 – Mathematics

This question asks to calculate the marginal revenue at a given sales volume.

QTB – MAY 2017 – L1 – SA – Q5 – Mathematics

A multiple-choice question asking for the point where the slope of a given function is zero.

QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance

Find the level of output at which profit is maximized using given revenue and cost functions.

QTB – Nov 2015 – L1 – SA – Q20 – Mathematics

This question identifies the condition at the stationary point of a function.

QT – Nov 2016 – L1 – Q6b – Elements of Calculus

Calculate the number of tons of low and high-grade steel to produce to maximize total revenue and determine the maximum total revenue.

QTB – May 2017 – L1 – SA – Q6 – Mathematics

This question asks to calculate the marginal revenue at a given sales volume.

QTB – MAY 2017 – L1 – SA – Q5 – Mathematics

A multiple-choice question asking for the point where the slope of a given function is zero.

QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance

Find the level of output at which profit is maximized using given revenue and cost functions.

QTB – Nov 2015 – L1 – SA – Q20 – Mathematics

This question identifies the condition at the stationary point of a function.

QT – Nov 2016 – L1 – Q6b – Elements of Calculus

Calculate the number of tons of low and high-grade steel to produce to maximize total revenue and determine the maximum total revenue.

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Question Tag: Calculus

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QTB – May 2017 – L1 – SA – Q6 – Mathematics

This question asks to calculate the marginal revenue at a given sales volume.

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QTB – MAY 2017 – L1 – SA – Q5 – Mathematics

A multiple-choice question asking for the point where the slope of a given function is zero.

You're reporting an error for "QTB – MAY 2017 – L1 – SA – Q5 – Mathematics"

QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance

Find the level of output at which profit is maximized using given revenue and cost functions.

You're reporting an error for "QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance"

QTB – Nov 2015 – L1 – SA – Q20 – Mathematics

This question identifies the condition at the stationary point of a function.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q20 – Mathematics"

QT – Nov 2016 – L1 – Q6b – Elements of Calculus

Calculate the number of tons of low and high-grade steel to produce to maximize total revenue and determine the maximum total revenue.

You're reporting an error for "QT – Nov 2016 – L1 – Q6b – Elements of Calculus"

QTB – May 2017 – L1 – SA – Q6 – Mathematics

This question asks to calculate the marginal revenue at a given sales volume.

You're reporting an error for "QTB – May 2017 – L1 – SA – Q6 – Mathematics"

QTB – MAY 2017 – L1 – SA – Q5 – Mathematics

A multiple-choice question asking for the point where the slope of a given function is zero.

You're reporting an error for "QTB – MAY 2017 – L1 – SA – Q5 – Mathematics"

QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance

Find the level of output at which profit is maximized using given revenue and cost functions.

You're reporting an error for "QTB – Nov 2015 – L1 – SB – Q2c – Mathematics of Business Finance"

QTB – Nov 2015 – L1 – SA – Q20 – Mathematics

This question identifies the condition at the stationary point of a function.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q20 – Mathematics"

QT – Nov 2016 – L1 – Q6b – Elements of Calculus

Calculate the number of tons of low and high-grade steel to produce to maximize total revenue and determine the maximum total revenue.

You're reporting an error for "QT – Nov 2016 – L1 – Q6b – Elements of Calculus"

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