Title: TM 661 Engineering Economics for Managers
1TM 661Engineering Economics for Managers
2Cost Concepts
- Life Cycle Costs
- the sum of all expenditures associated with an
item during its entire service life - first cost
- machine cost, training, installation, tooling,
supporting equipment - operating and maintenance costs
- labor, material and overhead (usually annual
costs) - disposal cost
- cost of removing material, and equipment
-
3Past Costs and Sunk Costs
- Past costs are historical that have occurred for
the item under consideration. - Sunk cost are past costs that are unrecoverable.
4Future and Opportunity Costs
- All costs that may occur in the future are termed
future costs. - Opportunity cost
- The cost of forgoing the opportunity to earn
interest, or a return,on investment funds.
5Direct vs Indirect Costs
6Fixed vs Variable
- Fixed - do not vary with production
- general admin., taxes, rent, depreciation
- Variable - costs vary in proportion to the
quantity of output - material, direct labor, material handling
7Fixed vs Variable
- Fixed - do not vary with production
- general admin., taxes, rent, depreciation
- Variable - costs vary in proportion to the
quantity of output - material, direct labor, material handling
- TC(x) FC VC(x)
8Fixed vs Variable
TC
VC
FC
TC(x) FC VC(x)
9Break Even
10Break-Even Analysis
- Site Fixed Cost/Yr Variable Cost
- AAustin 20,000 50
- S Sioux Falls 60,000 40
- DDenver 80,000 30
TC FC VC X
11Break-Even (cont)
12Example
- Company produces crude oil from a field where the
basis of decision is the number of barrels
produced. Two methods for production are - automated tank battery
- manually operated tank battery
13Example
- Automated tank battery
- annual depreciation 3,200
- annual maintenance 5,200
- Other fixed variable costs
14Automated Tank Battery
TC(x) (982 3,200 5,200) 0.01136 X
15Example
- Manual Tank Battery
- annual depreciation 2,000
- annual maintenance 7,500
- other costs
16Manual Tank Battery
TC(x) (2,000 7,500 358) 0.00810 X
17BreakEven
TCA(x) TCM(x)
18BreakEven
TCA(x) TCM(x) 9,382 0.01136 x 9,858
0.0081 x
19BreakEven
TCA(x) TCM(x) 9,382 0.01136 x 9,858
0.0081 x 0.0033 x 476
20BreakEven
TCA(x) TCM(x) 9,382 0.01136 x 9,858
0.0081 x 0.0033 x 476 x 145,000
21Example
22Average vs Marginal Cost
x
TC
)
(
x
AC
)
(
x
23Example
- Cost of running an automobile is
-
- TC(x) 950 0.20 x
- where 950 covers annual depreciation and
maintenance and x is the number of miles driven
per year
24Example
25Example
26Example
- Small firm sells garden chemicals.
- x number of tons sold per year
- SP(x) selling price per ton (to sell x tons)
- (800 - 0.8x)
- TR(x) total revenue at x tons
- (800 - 0.8x) x
- TC(x) total production cost for x tons
- (8,000 400x)
27Example
- TP(x) total profit at x tons
- TR(x) - TX(x)
- (800x - 0.8x2) - (8,000 400x)
- -0.8x2 400x - 8,000
- Compute
- a. x at which revenue is maximized
- b. marginal revenue at max revenue
- c. x at which profit is maximized
- d. average profit at max profit
28Example
- TR(x) -0.8x2 800x
- a. max R
29Example
- TR(x) -0.8x2 800x
- b. Marginal Revenue
- MR(500) -1.6(500) 800
- 0
30Example
- TP(x) -0.8x2 400x - 8,000
- c. max profit
31Example
- TP(x) -0.8x2 400x - 8,000
- c. average profit
-
32BREAK
33Terms
- Bookkeeping
- accumulate the results of an entities financial
activities - Financial Accounting
- external evaluation of financial statements of an
entity - Managerial Accounting
- use of economic financial information to plan
and control activities of an entity - Cost Accounting
- determines product, process, or service costs a
subset of managerial accounting
34Terms
- Tax Accounting
- the preparation of income tax returns as a
specialized field within accounting - tax
planning - Auditing
- external review and evaluation of an entitys
financial records and health - internal audits
- government audits
- IRS audits
35Functions of Accounting
- Internal Control
- all measures used by an organization to guard
against errors, waste and fraud - Audits of Financial Statements
- investigation of a companys financial statements
to determine the fairness of these statements - Annual Reports
- comparative financial statements enable users to
identify trends in the companys performance and
financial position
36Principles of Accounting
- Principles of accounting dictate that financial
statements must show - financial position at end of accounting period
- earnings for the accounting period
- cash flows during that period
- investments by distribution to owners
37Transactions Approach
- In recording economic activities, accountants
focus on completed transactions - those that
cause an immediate change in the financial
resources or obligations of a company - purchasing raw materials
- sales of finished goods
- Strength - the reliability of the information
that is recorded, based on past events,
objectivity
38Financial Statements
- Balance Sheet
- financial position of a company indicating
resources it owns, debts, and the amount of
owners equity - Income Statement
- profitability of the business over the preceding
accounting period - Statement of Owners Equity
- explains changes in the amount of owners equity
in the business - Statement of Cash Flows
- summarizes cash receipts and cash payments of
business over the preceding accounting period
39Balance Sheet
- Statement of financial position
- does not show the current market value of an
entitys assets - Assets
- economic resources owned by a business and are
expected to benefit future operations - cost principle
- going concern
- objectivity principle
- stable dollar assumption
- Current Assets - convertible to cash within 1
yr.
40Balance Sheet
- Liabilities
- probable future sacrifices of economic benefits
as result of current obligations - Current Liabilities - must be paid within 1 year.
- Owner Equity
- ownership right of proprietors or stockholders
- Changes in OE by
- investment by owner
- earnings from profitable operation of business
- withdrawals of cash of other assets
- losses from business
41Accounting Equation
- Owner Equity Assets - Liabilities
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43Income Statement
- Projects profit/loss of an entity over a period
of time - Net Sales - gross sales less returns, defects,
etc. - Cost-of-Goods sold - cost of raw material
direct labor - Selling, Gen, Admin - operating expenses of an
entity which do not directly contribute to
product (sales people, managers, ...) - Interest Expense - interest paid on long/short
term debt. - Net Income/share - net income (after tax) divided
by outstanding shares
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45Changes to Owner Equity
- Begin Balance - last years ending balance
- Paid-in Capital - sold 10,000 shares at 19
/share stock par value of 10 / share. - common stock 10,000 x 10 100,000
- addition paid in 10,000 x (19-10) 90,000
- Retained Earnings - cumulative net income which
has been retained for business - Dividends - distribution of earnings to
stockholders
46Changes to Owner Equity
- Balance Sheet Income Statement Balance Sheet
- 8/31/96 Revenues 8/31/97
- - Expenses
- Net Income
- Statement of OE
- A L OE Begin Balance
- Paid in capital changes
- Retained earnings
- Net Income
- - Dividends
- Ending Balances A L OE
47Retained (97) Retained (96) 18,000 93,900
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49Statement of Cash Flows
- Identify the sources and use of cash during year
- Operating Activities
- net income 18,000 from income statement
- depreciation expense 16,400 from balance sheet
added back in because it is not an actual cash
outlay
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53You Can Go Broke Making Money!
54Financial Statement Analysis
- Liquidity Measures
- current ratio
- quick ratio
- working capital
- Long Term Credit Risk
- debt to assets ratio
- debt to equity
55Financial Statement Analysis
- Profitability Measures
- return on assets
- return on equity
- net profit margin
- earnings per share
- Activity Ratios
- accounts receivable turnover
- inventory turnover
56Liquidity
57Liquidity
- Working Capital
- Q Is 55,900 sufficient working capital to
cover 2-3 months of expenses?
58Liquidity
- Current Ratio (Industry gt 2.0)
59Liquidity
- Quick Ratio (Industry gt 1.0)
60Long Term Credit Risk
- Debt to Assets (Industry lt 33)
61Long Term Credit Risk
- Debt to Assets (Industry lt 33)
1996
0.54
62Long Term Credit Risk
- Debt to Equity Ratio (Industry 33-50)
63Long Term Credit Risk
- Debt to Equity Ratio (Industry 33-50)
1996
1.182
64Profitability Measures
- Return on Assets (Industry 8-10)
65Profitability Measures
- Debt to Equity (Industry 12-15)
66Profitability Measures
- Net Profit Margin (Industry 4-6)
- (Industry Specific)
67Profitability Measures
- Earnings per Share (Industry Specific)
68Activity Ratios
- Accounts Receivable Turnover (Industry Specific)
69Activity Ratios
- Inventory Turnover (Industry gt 10)
70Financial Leverage
71Financial Leverage
72Financial Leverage
73Financial Leverage
74Financial Leverage
Note ROI 18,000/100,000