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CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving for D Find breakeven value(s) by setting TR=TC

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Page 1: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

CTC 475 Review

Breakeven ProblemsDetermine equations for TR, TC, NPMaximize/minimize nonlinear equations

by taking derivative, setting = 0, and solving for D

Find breakeven value(s) by setting TR=TC

Page 2: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

CTC 475

Cost Estimates & Accounting Principles

Page 3: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Objectives

Know the different types of cost estimates

Understand balance sheetsUnderstand income statements

Page 4: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Cost Estimates

Many times costs for a project must be estimated

Three general types Order-of-Magnitude (+/-50%) Preliminary Estimates (+/-20%) Detailed Estimates (+/-5%)

As the precision of the estimate improves, the cost of making the estimate increases

Page 5: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Estimate Example

Item numbers & DescriptionUnit (CM, EA, LS)Quantity & PriceSpecs describe how item is to be paid

Page 6: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Estimate Example

Historical Costs can be found in company records or govt. documents (ex. Bid Price Book)

Other Sources for prices (Means, manufacturer’s data, etc)

Page 7: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Estimate Example

When project goes out to bid, each contractor creates an estimate

The contractor with the lowest bid usually gets the job

Page 8: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Accounting Principles

Primary function is recording, classifying, summarizing and interpreting the financial data of an organization

Page 9: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Two Basic Financial Reports

Balance Sheet

(Statement of Financial Conditions)

Income Statement

(Profit and Loss Statement)

Page 10: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Balance Sheet

As of a particular date (snapshot in time):

Tally AssetsTally LiabilitiesAssets – Liabilities = Net Worth

Goal is to increase net worth over time

Page 11: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Handout

Your Personal Balance Sheet

Page 12: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Assets

Current – Can be converted easily into cash (<1 year)CashWork in progressFinished goods inventory

Fixed – Cannot easily be converted into cashLandBuilding

Page 13: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Liabilities

Current – Debts due and payable (<1 year)Account payableNotes payable Interest payable

Fixed – Long term debt Bonds payable

Page 14: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Balance Sheet

Assets – Liabilities = Net Worth

or

Assets = Liabilities + Net Worth

Page 15: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Net Worth

Also known as equity

Page 16: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Balance Statement

Company Example

Balance Sheet

Page 17: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Depreciation / Book Value

Depreciation Reserve:Funds held to repurchase an asset

(building, machinery) when its useful life terminates

Book Value (asset): First cost – depreciation reserve

Many assets lose value over time

Page 18: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Income Statement

The income statement is usually more useful of the two reports since:

The annual revenues/costs for various elements are identified

Page 19: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Income Statement-Basic Format

SalesLess Cost of Goods Sold=Gross ProfitLess “All other expenses”=Net Profit (Before Taxes)Less Income Taxes =Net Profit (After Taxes)

Page 20: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Income Statement

Over a particular time period (ex. year):

Tally IncomeTally Expenses

Income – Expenses = Net Profit (loss)

Page 21: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Handout

Your Household Budget

Page 22: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Income Statement

Company Example

Income Statement

Page 23: CTC 475 Review Breakeven Problems Determine equations for TR, TC, NP Maximize/minimize nonlinear equations by taking derivative, setting = 0, and solving

Next lecture

Job Quotes Present Economy

Problems