1. You are hired as a business consultant of a firm that manufactures radios and sells them for Php 200.00 each. The fixed costs incurred in the production and sale of the radios is Php 200,000.00 plus a variable cost of Php 50.00 for each radio produced and sold. Let x be the number of units produced and sold. You are tasked to determine the following: a. The total cost for a business which is the sum of the fixed costs and the variable cost. Write the total cost C as a function of the number of units produced. b. Write the review R as a function of the number of units sold. c. Write the profit P as a function of the number of units sold, where P = R – C d. How much profit will the firm gets if the number of the radios sold is 500 units? Assume that units sold and produced are equal.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 9E
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Your firm wants to determine the following:
a. Company's revenue function R(x)
b. Number of hamburgers sold if R(x) = 0
c. Revenue if the number of hamburgers sold, x, is 100 units.
Transcribed Image Text:Your firm wants to determine the following: a. Company's revenue function R(x) b. Number of hamburgers sold if R(x) = 0 c. Revenue if the number of hamburgers sold, x, is 100 units.
1. You are hired as a business consultant of a firm that manufactures radios and sells them for
Php 200.00 each. The fixed costs incurred in the production and sale of the radios is
Php 200,000.00 plus a variable cost of Php 50.00 for each radio produced and sold. Let x be
the number of units produced and sold. You are tasked to determine the following:
a. The total cost for a business which is the sum of the fixed costs and the variable cost.
Write the total cost C as a function of the number of units produced.
b. Write the review R as a function of the number of units sold.
c. Write the profit P as a function of the number of units sold, where P = R – C
d. How much profit will the firm gets if the number of the radios sold is 500 units?
Assume that units sold and produced are equal.
2. Suppose you are an economist and you are hired by the government to help analyze the cost
of an environmental cleanup. The cost in pesos of the cleanup is given by
30000 * p
C(p)
1- p
where p represents the percentage of the area to be cleaned up (0 <p< 1). The government
wants to know the cost of the cleaning up 50% of an affected area and the cost of cleaning up
75% of the area.
3. Suppose you are a cost accountant in a manufacturing firm. The cost accounting department
have pre-determined that the cost in pesos of producing portable speakers is given by the
function
C(x) = 3x(x – 100) + 32000
where x is the number of speakers produced in a week. You are tasked by your firm to
determine the following: the average cost function and average cost per speaker if 50 are
produced in a week.
4. You are the manager of a fast food restaurant that sells hamburgers. The revenue function is
given by
R(x) = x * p(x)
where x represents the number of units a company can produce or sell. R(x) is defined as the
number of units sold multiplied by the price per unit. p(x) is represented as price as a
function of x. You are given the following function to represent the monthly demand for
hamburgers:
60000 – x
-
p(x) = -
20000
Transcribed Image Text:1. You are hired as a business consultant of a firm that manufactures radios and sells them for Php 200.00 each. The fixed costs incurred in the production and sale of the radios is Php 200,000.00 plus a variable cost of Php 50.00 for each radio produced and sold. Let x be the number of units produced and sold. You are tasked to determine the following: a. The total cost for a business which is the sum of the fixed costs and the variable cost. Write the total cost C as a function of the number of units produced. b. Write the review R as a function of the number of units sold. c. Write the profit P as a function of the number of units sold, where P = R – C d. How much profit will the firm gets if the number of the radios sold is 500 units? Assume that units sold and produced are equal. 2. Suppose you are an economist and you are hired by the government to help analyze the cost of an environmental cleanup. The cost in pesos of the cleanup is given by 30000 * p C(p) 1- p where p represents the percentage of the area to be cleaned up (0 <p< 1). The government wants to know the cost of the cleaning up 50% of an affected area and the cost of cleaning up 75% of the area. 3. Suppose you are a cost accountant in a manufacturing firm. The cost accounting department have pre-determined that the cost in pesos of producing portable speakers is given by the function C(x) = 3x(x – 100) + 32000 where x is the number of speakers produced in a week. You are tasked by your firm to determine the following: the average cost function and average cost per speaker if 50 are produced in a week. 4. You are the manager of a fast food restaurant that sells hamburgers. The revenue function is given by R(x) = x * p(x) where x represents the number of units a company can produce or sell. R(x) is defined as the number of units sold multiplied by the price per unit. p(x) is represented as price as a function of x. You are given the following function to represent the monthly demand for hamburgers: 60000 – x - p(x) = - 20000
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