Nothing Special   »   [go: up one dir, main page]

S-MATH311LA BSM31 1st Sem (2021-2022) - 1st Sem AY2021-2022

Download as pdf or txt
Download as pdf or txt
You are on page 1of 2

S-MATH311LA BSM31 1st Sem ( 2021-2022 ) - 1st Sem AY2021-202... https://dlsud.edu20.org/student_lesson/show/2795121?lesson_id=130...

S-MATH311LA BSM31 1st Sem ( 2021-2022 )


Introduction to Management Science

Model Development and the Cost-Volume-Profit Model


Immersive Reader

Models Used in Business and Economics


Cost Model or Cost-Volume Model C(x)
◦ represents the cost of producing x of units of the commodity.
◦ represents the cost of manufacturing or producing a product as a function of the quantity or volume produced.
◦ Fixed Cost (FC) is a portion of the total cost that does not depend on the production quantity. It remains the same no matter
how much is produced.
◦ Variable Cost (VC) is a portion of the total cost that depends on and varies with the production quantity or volume.

COST = FIXED COST + (VARIABLE COST x QUANTITY OF OUTPUT)


C(x)=FC+VC(x)
Revenue Model R(x)
◦ represents the revenue obtained from selling x units of the commodity.
REVENUE = UNITS SOLD x SELLING PRICE
R(x) = xp(x)
Profit Model or Profit-Volume Model P(x)
◦ represents the profit obtain from selling x units of the commodity.
PROFIT = REVENUE - COST
P(x) = R(x) - C(x)
One of the most important criteria for management decision making is profit.
Using the Cost-Volume-Profit Analysis and the Breakeven Analysis provides a model showing the loss or profit based on the
amount of units or quantity produced.
Breakeven occurs when total revenue is equal to total cost and at this condition the total profit is zero.
P(x) = R(x) - C(x) = 0

R(x) = C(x)
SAMPLE PROBLEM
A company is planning to manufacture a certain product. The fixed cost will be Php500,000 and it will cost Php400 to produce
each product. Each will be sold for Php600.
questions answers
a. Determine the cost‐volume model for producing x units of each product. C(x)=500000+400x

b. Determine the revenue model for producing x units of each product. R(x)=600x

c. Determine the profit‐volume model for producing x units of each product. P(x)=200x-500000

d. How many units must be sold in order to break even? 2500 units

Given: Fixed Cost = 500,000


Variable Cost = 400
Selling price per unit = 600

a. Find: Cost-Volume model C(x)


Solution:
C(x) = FC + (VC x Quantity of output)
C(x) = 500,000 + 400x

b. Find: Revenue R(x)


Solution:
R(x) = selling price per unit x units sold
R(x) = 600x

c. Find the BEP


Solution:
P(x) = R(x) - C(x)
P(x) = 600x - (500,000 + 400x)
P(x) = 200x -500,000

1 of 2 13/09/2021, 12:06 pm
S-MATH311LA BSM31 1st Sem ( 2021-2022 ) - 1st Sem AY2021-202... https://dlsud.edu20.org/student_lesson/show/2795121?lesson_id=130...

Breakeven occurs when P(x) = 0


0 = 200x - 500,000
x = 2,500 units

2 of 2 13/09/2021, 12:06 pm

You might also like