Question Tag: Total Revenue

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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.

Given that the Total Revenue (TR) function is:

a

and the Total Cost (TC) function is:

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

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QTB – May 2015 – L1 – SB – Q6 – Operations Research

This question involves calculating the change in revenue, total revenue, total cost, and total profit for a manufacturer based on given marginal cost and marginal revenue functions.

A manufacturer determines that the firm’s Marginal Cost (MC) and Marginal Revenue (MR) functions are:

MC=C′(x) = 100 − 0.1x

MR = R(x)=100 + 0.1x

You are required to find the:

a. Change in revenue that results when the sales level increases from 20 to 30 units. (5 Marks)
b. Revenue resulting from the sale of 30 units. (5 Marks)
c. Cost of producing 30 units if the fixed cost (at x=0x = 0) is N400. (5 Marks)
d. Total profit when 30 units of the product are sold. (5 Marks)

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QT – May 2018 – L1 – Q3 – Elements of Calculus

Calculate total revenue, items for maximum revenue, and total profit from given marginal revenue and cost functions.

a) The marginal revenue function of a manufacturing company is given by:

The marginal cost function is given by:

Let x be the number of items either produced or sold.

Required:
i) Calculate the revenue generated when 50 items are sold. (2 marks)
ii) Calculate the number of items that will yield maximum revenue. (4 marks)
iii) Calculate the total revenue if 100 items are produced. (4 marks)
iv) Calculate the total profit for the 100 items. (4 marks)
v) If a tax of 20% is imposed on each item produced, find the cost of 100 items. (6 marks)

 

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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.

Given that the Total Revenue (TR) function is:

a

and the Total Cost (TC) function is:

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

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QTB – May 2015 – L1 – SB – Q6 – Operations Research

This question involves calculating the change in revenue, total revenue, total cost, and total profit for a manufacturer based on given marginal cost and marginal revenue functions.

A manufacturer determines that the firm’s Marginal Cost (MC) and Marginal Revenue (MR) functions are:

MC=C′(x) = 100 − 0.1x

MR = R(x)=100 + 0.1x

You are required to find the:

a. Change in revenue that results when the sales level increases from 20 to 30 units. (5 Marks)
b. Revenue resulting from the sale of 30 units. (5 Marks)
c. Cost of producing 30 units if the fixed cost (at x=0x = 0) is N400. (5 Marks)
d. Total profit when 30 units of the product are sold. (5 Marks)

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QT – May 2018 – L1 – Q3 – Elements of Calculus

Calculate total revenue, items for maximum revenue, and total profit from given marginal revenue and cost functions.

a) The marginal revenue function of a manufacturing company is given by:

The marginal cost function is given by:

Let x be the number of items either produced or sold.

Required:
i) Calculate the revenue generated when 50 items are sold. (2 marks)
ii) Calculate the number of items that will yield maximum revenue. (4 marks)
iii) Calculate the total revenue if 100 items are produced. (4 marks)
iv) Calculate the total profit for the 100 items. (4 marks)
v) If a tax of 20% is imposed on each item produced, find the cost of 100 items. (6 marks)

 

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