CE2451 Engineering Economics & Cost Analysis. Objectives of this course

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CE2451 Engineering Economics

& Cost Analysis

Dr. M. Selvakumar Associate Professor Department of Civil Engineering Sri Venkateswara College of Engineering

Objectives of this course

• The main objective of this course is to make the Civil Engineering student know about the basic law of economics, how to organize a business, the financial aspects related to business, different methods of appraisal of projects and pricing techniques. At the end of this course the student shall have the knowledge of how to start a

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Unit 2: Cost and Break Even Analysis

Types of costing – traditional costing approach activity base costing -Fixed Cost – variable cost – marginal cost – cost output relationship in the short run and in long run – pricing practice – full cost pricing – marginal cost pricing – going rate pricing – bid pricing – pricing for a rate of return – appraising project profitability –internal rate of return – pay back period – net present value – cost benefit analysis – feasibility reports – appraisal process – technical feasibility economic feasibility – financial feasibility. Break even analysis - basic assumptions – break even chart – managerial uses of break even analysis.

3/17/2015 SVCE, Sriperumbudur 3

Cost and Break Even Analysis

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Types of Costing

Costing - Definition

• System of computing cost of production or of running a business, by allocating expenditure to various stages of production or to different operations of a firm.

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Types of Costing

• There are different types are used in cost accounting.

• Different types is used in different industries to analyse and presenting for the purpose of ‘managerial decisions’. 3/17/2015 SVCE, Sriperumbudur 7

Types of Costing

Marginal costing Absorption costing Standard costing Historical costing

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MARGINAL COSTING

Marginal Costing

• In economics and finance, marginal cost is the change in the total cost that arises when the quantity produced has an increment by unit.

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Marginal Costing [MC] Curve

Marginal Costing

• That is, it is the cost of producing one more unit of a good or commodity.

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Marginal Costing

• For example, suppose it costs Rs.1000 to produce 100 units and Rs.1020 to produce 101 units. The MC of the 101st _{unit is Rs.20.}

Uses of MC

• To determine the optimum selling price where company can achieve expected profit.

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Uses of MC cont…

• To check the effect of reducing of current price on profit.

Uses of MC cont…

• Choose of good product mix, for company producing more than one product.

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ABSORPTION COSTING

Absorption Costing

• Absorption costing means that all of

the manufacturing costs are absorbed by the units produced.

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Absorption Costing

• In other words, the cost of a finished unit

in

inventory

will

include

direct

materials,

direct

labor,

and

both

variable

and

fixed

manufacturing

overhead.

Absorption Costing

• As a result, absorption costing is also referred to as full costing or the full absorption method.

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Absorption Costing

• Absorption costing is often contrasted with variable costing or direct costing.

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Absorption Costing

• Under variable or direct costing, the fixed manufacturing overhead costs are not allocated or assigned to (not absorbed by) the products manufactured.

Absorption Costing

• Variable costing is often useful for

management's decision-making. However,

absorption costing is required for

external financial reporting and for income tax reporting.

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STANDARD COSTING

Standard Costing

• Standard costs are usually associated with a

manufacturing company's costs of direct

material, direct labour, and manufacturing

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Standard Costing

• Rather than assigning the actual costs of direct

material, direct labour, and manufacturing

overhead to a product, many manufacturers assign the expected or standard cost.

Standard Costing

• This means that a manufacturer's inventories and cost of goods sold will begin with amounts reflecting the standard costs, not the actual

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Standard Costing

• As a result there are almost always differences between the actual costs and the standard

costs, and those differences are known

as variances.

Standard Costing

• If actual costs are greater than standard costs the variance is unfavorable. An unfavorable variance tells management that if everything else stays constant the company's actual profit will be less than planned.

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Standard Costing

• If actual costs are less than standard costs the variance is favorable. A favorable variance tells

management that if everything else stays

constant the actual profit will likely exceed the planned profit.

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Historical Costing

• A measure of value used in accounting in which the price of an asset on the balance sheet is based on its nominal or original cost when acquired by the company.

Historical Costing

• Based on the historical-cost principle most assets held on the balance sheet are to be recorded at the historical cost even if they have significantly changed in value over time.

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Historical Costing

• For example, say the main headquarters of a company, which includes the land and building, was bought for Rs.100,000 in 1925, and its expected market value today is Rs. 20 million. The asset is still recorded on the balance sheet at Rs.100,000.

How to arrive final cost of a

product/ service/ asset?

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TRADITIONAL COSTING APPROACH/

CONVENTIONAL APPROACH

Traditional Costing Approach

• The traditional method of cost accounting refers

to the allocation of manufacturing overhead costs to the products manufactured.

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Traditional Costing Approach

• The traditional method assigns or allocates the

factory's indirect costs to the items

manufactured on the basis of volume such as the number of units produced, the direct labor hours, or the production machine hours.

Traditional Costing Approach

• By using only machine hours to allocate the

manufacturing overhead to products, it is

implying that the machine hours are the

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Traditional Costing Approach

• Traditionally, that may have been reasonable or

at least sufficient for the company's external financial statements.

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Activity Base Costing

• Activity based costing (ABC) was developed to overcome the shortcomings of the traditional method.

Activity Base Costing

• Instead of just one cost driver such as machine hours, ABC will use many cost drivers to allocate a manufacturer's indirect costs.

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Activity Base Costing

• A few of the cost drivers that would be used under ABC include the number of machine setups, the tones of material purchased or used, the number of engineering change orders, the number of machine hours, and so on.

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Cost of Production

Short-run Total Cost

In the short run, one or more (but not all) factors of production (land, labour, machinery and materials) are fixed in quantity.

Cost of Production

Total Fixed Cost (TFC) refers to total obligation incurred by the firm per unit of time for all fixed inputs. Total Variable Cost (TVC) are the total obligations incurred by the firm per unit of time for

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Cost of Production

i.e. Total Cost equal to TFC + TVC

Consider a hypothetical case for different quantities (Q) of production as shown below:

Cost of Production

Q TFC TVC TC 0 60 0 60 1 60 30 90 2 60 40 100 3 60 45 105 4 60 55 115

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Cost of Production

Short-run Total Cost

0 50 100 150 200 0 1 2 3 4 5 6 7 Quantity Produced C os t TFC TVC TC 3/17/2015 SVCE, Sriperumbudur 51

Cost of Production

INFERENCE:

•TFC are constant regardless of the level of output •TVC are zero, when the output is zero and rises as output rises

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Cost of Production

INFERENCE:

•At every output level, TC equals TFC+TVC. Thus, the TC curve has the same shape as the TVC curve but everywhere above by an amount equal to TFC

Cost of Production

Short-run Average Cost

Average Fixed Costs (AFC) equals to total fixed cost divided by output. Average Variable Cost (AVC) equals total variable costs divided by output.

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Cost of Production

Short-run Average Cost

Average Cost (AC) equals total cost divided by output. AC also equals AFC+AVC. Marginal Cost (MC) equals the change in TC or change in TVC per unit change in output.

Cost of Production

Q TFC TVC TC AFC AVC AC MC 1 60 30 90 60 30 90 2 60 40 100 30 20 50 10 3 60 45 105 20 15 35 5 4 60 55 115 15 13.75 28.75 10 5 60 75 135 12 15 27 20 6 60 120 180 10 20 30 45

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Cost of Production

Typical Cost Curve for Production

0 20 40 60 80 100 0 1 2 3 4 5 6 7 Quantity Produced C os t AFC AVC AC MC 3/17/2015 SVCE, Sriperumbudur 57

Cost of Production

Marginal Cost (MC) 10 20 30 40 50 C os t

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Cost of Production

Note

•MC schedules are plotted halfway between

successive levels of output

Cost of Production

•While AFC curve falls continuously as output is expanded, the AVC, the AC and MC curves are U-shaped. The MC curve reaches the lowest point at a lower level of output than either the AVC or AC curve

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Cost of Production

The portion of MC intersects the AVC and AC at their lowest points. This is so because whenever extra or marginal amount added to total cost (or variable cost) is less than the average of that cost, the curve necessarily falls.

Cost of Production

Conversely, whenever the marginal amount added to TC (or TVC) is greater than the average of TC, the average cost rises.

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Cost of Production

AVC = AC – AFC

When

MC < AC AC curve fall continuously

MC = AC Minimum AC MC > AC AC starts rising

Long Run Cost

Long-run is the time period long enough for a firm to be able to vary the quantity used of all inputs. Thus, in the long-run, there are no fixed factor and hence no fixed cost and the firm can build any size or scale of plant.

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Long Run Cost

The Long-run Average Cost (LAC) curve shows the minimum per unit of cost of producing each level of output when any defined scale of plant can be built.

Long Run Cost

LAC is given by a curve tangential to all the short-run average cost (SAC) curves representing all the alternative plant sizes that the firm could built in the long-run.

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0.0 5.0 10.0 15.0 20.0 25.0 0 2 4 6 8 10 12 14 Quantity A v er a ge C os t SAC-1 SAC-2 SAC-3 SAC-4 3/17/2015 SVCE, Sriperumbudur 67

Long Run Cost

If the firm expected to produce 2 units of output per unit of time it would built the scale of plant given by SAC-1 and operate it at point A where AC is 17.

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Long Run Cost

we could have drawn many more SAC curves in the figure one for each alternative scales of plant that the firm could built in the long run. By then drawing a tangent to all these SAC curves, we could get the LAC curve.

Shape of Curve

While the SAC curve and the LAC curve have been drawn as U-shaped, the reason for their shapes is quite different.

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Shape of Curve

The SAC curves decline at first, but eventually rise because of the LAW of Diminishing Marginal Returns (resulting from the existence of fixed inputs in the short-run)

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Full Cost Pricing

It is a ‘price-setting method’ in which you add: direct material cost + direct labor cost + selling cost

+ administrative costs + overhead costs

+ markup percentage (profit) in order to derive the price of the product.

Full Cost Pricing

This method is most commonly used in situations where products and services are provided based on the specific requirements of the customer.

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Advantages Full Cost Pricing

It is simple

Likely to get profit Justifiable

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Marginal Cost Pricing

Marginal cost pricing is the practice of setting the price of a product at or slightly above the variable cost to produce it.

Marginal Cost Pricing

This situation usually arises in one of two

circumstances:

•A company has a small amount of remaining unused production capacity available that it wishes to use; or

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Marginal Cost Pricing

The first scenario is one in which a company is more likely to be financially healthy - it simply wishes to maximize its profitability with a few more unit sales.

Marginal Cost Pricing

The second scenario is one of desperation, where a company can achieve sales by no other means.

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GOING RATE PRICING

Going Rate Pricing

Setting a price for a product or service using the prevailing market price as a basis.

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Going Rate Pricing

Going rate pricing is a common practice

with homogeneous products with very

little variation from one producer to another, such as aluminum or steel.

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Bid Pricing

Price offered by bidder (contractor, supplier,

vendor) for a specific good, job, or service, and valid only for the specified period.

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Pricing for a Rate of Return

Rate of return pricing is practiced by businesses that set specific goals for the capital that they spend and the revenue they wish to generate.

Pricing for a Rate of Return

A business can set prices to ensure that these goals will be achieved.

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Pricing for a Rate of Return

This method of pricing is most effectively achieved when a company has little or no competition in the market, since the actions of competitors will likely affect the rate of return (monopolistic).

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Profitability

Project appraisal is the process of assessing and

questioning proposals before resources are

committed.

Appraising Project

Profitability

Project appraisal is the process of assessing and

questioning proposals before resources are

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Profitability

Project appraisal helps project initiators and

designers to;

•Be consistent and objective in choosing

projects

•Make sure their program benefits all sections of the community, including those from ethnic groups who have been left out in the past

Appraising Project

Profitability

Project appraisal helps project initiators and

designers to;

•Provide documentation to meet financial and audit requirements and to explain decisions to local people.

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INTERNAL RATE OF RETURN

Internal Rate of Return

IRR calculations are commonly used to evaluate the desirability of investments or projects.

The higher a project's IRR, the more desirable it is to undertake the project.

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Internal Rate of Return

Given a collection of pairs (time, cash flow) involved in a project, the internal rate of return follows from the net present value as a function of the rate of return. A rate of return for which this function is zero is an internal rate of return.

Internal Rate of Return

where,

NPV - Net Present Value Cn - Cash flow at time ‘n’

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Internal Rate of Return

Year (n) Cash Flow, Cn

0 -123400 1 36200 2 54800 3 48100 % 96 . 5 0 ) 1 ( 48100 ) 1 ( 54800 ) 1 ( 36200 123400 ₁ ₂ ₃            r r r r NPV 3/17/2015 SVCE, Sriperumbudur 99

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Pay Pack Period

Payback period in capital budgeting refers to the period of time required to recoup the funds expended in an investment, or to reach the break-even point.

Pay Pack Period

For example, a Rs.1000 investment which returned Rs. 500 per year would have a two-year payback period. The time value of money is not taken into account.

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COST-BENEFIT ANALYSIS

Cost-Benefit Analysis

Broadly, CBA has two purposes:

1. To determine if it is a sound

investment/decision (justification/feasibility) 2. To provide a basis for comparing projects. It

involves comparing the total expected cost of each option against the total expected

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Cost-Benefit Analysis

The CBA is also defined as a systematic process for calculating and comparing benefits and costs of a project, decision or government policy / project.

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Feasibility Report

The feasibility study is an evaluation and analysis of the potential of a proposed project which is based on extensive investigation and research to support the process of decision making.

Feasibility Report

A well-designed feasibility study should provide a historical background of the business or project, a description of the product or service, accounting

statements, details of

the operations and management, marketing

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Feasibility Report

Generally, feasibility studies precede technical development and project implementation.

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Break Even Analysis

Number of units that must be sold in order to produce a profit of zero (but will recover all associated costs). In other words, the break-even point is the point at which your product stops costing you money to produce and sell, and starts to generate a profit for your company.

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Break Even Analysis

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(

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(

V

P

TFC

X

TFC

V

P

X

TFC

X

V

X

P

X

V

TFC

X

P

TC

TR























TR-Total Revenue; TC-Total Cost; P-Price per unit; X-No. of units; V-Variable Cost; TFC-Total Fixed Cost

Break Even Analysis

The quantity, , is of interest in its own right, and is called the Unit Contribution Margin (C): it is the marginal profit per unit, or alternatively the portion of each sale that contributes to Fixed Costs. Thus the break-even point can be more simply computed

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THE END