Post on 19-Jan-2015
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Chapter 2
Cost Concepts And Design Economic
Created By : Eng. Saad Hamasha
& Eng.Maysaa Gharaybeh
Fixed, Variable and Incremental costs.
Fixed costs :
Unaffected by changes in activity level over a feasible range of operations for the capacity or capability available.
Example :insurance and taxes on facilities, administrative salaries, license fees, and interest costs on borrowed capital.
Variable Costs :
• It vary in total with the number of the output unite .
• Example :
costs of material and labor used in a product or service, because they vary in total with the number of output units even though costs per unit remain the same.
More ways to categorize costs
• Direct: can be measured and allocated to a specific
work activity
(Materials, Labor)
• Indirect: difficult to attribute or allocate to a
specific output or work activity
(overhead, maintenance)
• Standard cost: cost per unit of output,
Standard costs play an important role in cost control and
other management functions.
• Cash cost: a cost that involves a payment of cash.
• Book cost: a cost that does not involve a cash
transaction but is reflected in the accounting
system.
( equipments, machines, Depreciation)
• Sunk cost: a cost that has occurred in the past and
has no relevance to estimates of future costs and
revenues related to an alternative course of action.
(money spend on a passport)
• Opportunity cost: the monetary advantage foregone due to limited resources. The cost of the best rejected opportunity.
( A student can work with 10,000$ Per year.
or goes to the university for a year and spend 5,000$.
Opportunity cost = 15,000$)
• Life-cycle cost: the summation of all costs related to a product, structure, system, or service during its life span.
Example 2-1
Cost Factor Site A Site B
Distance 6 miles 4.3 miles
Monthly rental cost
$1,000 $5,000
Cost (Set up $ Removing) Equipment
$15,000 $25,000
Hauling expenses
$1.15/yd3 – mile
$1.15/yd3 – mile
Flag person No need $96/day ($8,160)
•5,000 cubic yards of asphalt
•4 months (17 weeks 5- days a week)
•Compare the
2 sites??!!!!!
•NOTE:
•Rent , Set up/ Removal and Flag person are Fixed costs BUT
BUT Hauling is variable cost
Site A = 6*5000*$1.15 = $345,000
Site B= 4.3*5,000*$1.15 = $247,250
Then the total cost is
2. Which is the better site? Site B
3. How many cubic yards of asphalt does the contractor have to
deliver before starting to make a profit if paid 8.05$ per cubic yard
The General Economic Environment
Consumer and Producer Goods and Service
Consumer Goods and Service: are those
products or service that are directly used by
people to satisfy their wants.
Producer Goods and Service: are used to
produce consumer goods or service or other
producers goods.
Goods and service are produced and desired because they
have utility.
Utility: The power to satisfy human wants and needs.
Utility is most commonly measured in terms of value.
Value: the price that must be paid to obtain the particular
item.
Necessities and Luxuries needs.
Price And Demand
Engineering focusing on increasing the utility (value) of materials by changing their form or location.
P : the price that must be paid
D: is the quantity that must be demanded or purchased
The general price-demand relationship
The demand for a product or service is directly related to
its price according to
p = a - bD
for 0 ≤ D ≤ a/b , a > 0, b > 0
where p is price, D is demand, and a and b are constants
that depend on the particular product or service.
a = price axis intercept
-b = slope
Competition
Perfect Competition: occurs in a situation in which any
given product is supplied by a large number of venders and
there is no restriction on additional suppliers entering the
market (never occurs in actual practice).
Perfect Monopoly: exist when a unique product or service is
only available from a single supplier and that vender can
prevent the entry of all others into the markets.
(rarely occurs in the practice)
Total Revenue Function
Total revenue is the product of the selling price per unit,
p, and the number of units sold, D.
TR = p × D
From: p = a – bD
We find:
Maximize Revenue
b
aD
2ˆ The demand at maximum revenue:
2DbDaTR
b
a
b
a
b
aDbDaTRMaximum
442ˆˆ
2222
022
2
bdD
TRd
Profit
Profit = Total Revenue (TR) – Total Cost (CT)
VFT CCC
Total Cost (CT) = Fixed Cost (CF) + Variable Cost (CV)
DcC vV
Variable Cost (CV) = Variable cost per unit (cv) × Demand (D)
DcCC vFT Total Cost:
Maximum profit
Scenario 1: Demand is a function of price ( p = a – bD)
2DbDaTR
Profit = Total Revenue (TR) – Total Cost (CT)
DcCC vFT and
and 2DbDaTR
Then )()(Profit 2 DcCDbDa vF
Fv CDcaDb )(Profit 2
To find the maximum profit 02)(
DbcadD
profitdv
b
caD v
2*
Demand at Max profit:
02)(
2
2
bdD
profitd
Breakeven points are found when
Total Revenue = Total Cost.
DcCDbDa vF 2
0)(2 Fv CDcaDb
b
CbcacaD Fvv
2
4 21
2
The demand at breakeven:
Example: A company produces an electronic timing switch. The fixed
cost (CF) is 73,000$ per month. The variable cost per unit (cv) is
83$. The selling price per unit (p = 180$ – 0.02D).
A. Determine the optimal volume of product?
B. Find the volume at breakeven occurs, what is the range of
profitable demand?
Solution:
A. a = 180, b = 0.02
monthperunits425,202.02
83180
2*
b
caD v
B. Total Revenue = Total Cost.
DcCDbDa vF 2
0)(2 Fv CDcaDb
b
CbcacaD Fvv
2
4 21
2
02.02
7300002.049797 21
2
D
monthperunit93204.0
74.59971
D
monthperunit918,304.0
74.59972
D
Range = 932 to 3,918 unit per month
Scenario 2: Price and Demand are independent
TR = P × D
Example:
Variable cost per service hour = 62$.
Selling price = 85.56$ per hour.
Maximum Hours per year = 160,000 hours.
Fixed cost = 2,024,000$ per year.
A. What is the breakeven point in hours and in % of total capacity?
Total revenue = Total cost (breakeven)
DcCDp vF
v
F
cp
CD
yearperhours908,85
6256.85
2024000
D
capacityof%7.53537.0000,160
908,85D
B. What is the % reduction In breakeven point (sensitivity) if:
1. Fixed cost reduced by 10%?
2. variable cost per hour reduced by 10%?
yearperhours138,776256.85
20240009.0
D
%101.0908,85
318,77908,85reduction
D
yearperhours011,68
629.056.85
2024000
D
%8.20208.0908,85
011.68908,85reduction
D
3. selling price increase by 10%?
yearper hours021,63
6256.851.1
2024000
D
%6.26266.0908,85
021,63908,85reduction
D
Then the breakeven point is more sensitive to reduction in
variable cost than fixed cost