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Using Relevant Information for Internal Operations. Chapter 9. Learning Objective 1. Determine the fixed and variable components of a cost element using the high-low method and results of regression analysis. Fixed and Variable Components of a Cost Element. Understanding the company’s cost
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Using Relevant Information for Internal Operations Chapter 9
Learning Objective 1 • Determine the fixed and variable components of • a cost element using the • high-low method and • results of regression analysis.
Fixed and Variable Components of a Cost Element Understanding the company’s cost components and determining cost formulas are a basic analysis techniques for planning and budgeting.
Using the High-Low Method to Find the Total Cost Formula Total Cost = Fixed costs + (Unit variable cost × Volume) TC = FC + (UVC × V) The high-low method is a model that separates the fixed and variable components of a cost element.
Year Units sold Cost of goods sold Store supplies 1998 1999 2000 2001 2002 5,400 5,200 5,000 6,000 6,400 $432,000 416,000 400,000 480,000 512,000 $30,000 33,000 32,000 35,000 38,000 Low High Bicycle Shop Example Rent is $12,000 per year.
Step 1: Units sold Cost of goods sold High Low Difference 6,400 5,000 1,400 $512,000 400,000 $112,000 Bicycle Shop Example What is the variable cost per unit sold? Step 2: $112,000 ÷ 1,400 = $80 variable cost per unit sold
Step 1: Units sold Cost of goods sold High Low Difference 6,400 5,000 1,400 $38,000 32,000 $ 6,000 Bicycle Shop Example What is the cost of store supplies? Step 2: $6,000 ÷ 1,400 = $4.2857 variable cost per unit sold
Expense Fixed cost Unit variable cost Rent Cost of goods sold Store supplies Total $12,000.00 0.00 10,571.52 $22,571.52 $ 0.0000 80.0000 4.2857 $84.2857 Bicycle Shop Example Summary: TC = $22,571.52 + ($84.2857 × Units sold)
Bicycle Shop Example If management predicts it will sell 5,800 units in 200X, what would the formula predict the cost to be? TC = $22,571.52 + ($84.2857 × 5,800) Rent $ 12,000.00 Cost of goods sold 464,000.00 Store supplies 35,428.58 Total costs $511,428.58
Learning Objectives 2 and 3 • Identify the characteristics of • a relevant cost or revenue. Demonstrate why sunk costs and costs that do not differ between alternatives are irrelevant costs.
Relevant versusIrrelevant Concepts Relevant costing is the process of determining which dollar inflows and outflows pertain to a particular management decision. Sunk costs are past costs that cannot be changed by current or future actions. A relevant cost is a future cost that is pertinent to a particular decision and differs between decision alternatives.
Relevant versusIrrelevant Concepts A relevant cost must differ between alternatives. If a cost remains the same regardless of the decision alternative, it is irrelevant. A relevant revenue is a future revenue that differs between alternatives. Relevant costs and revenues are quantitative factorsthat affect business decisions.
The cost or revenue is NOT relevant. No Yes Does the cost or revenue differ between decision alternatives? The cost or revenue is NOT relevant. No Yes The cost or revenue IS relevant. Decision Model to Determine Relevant Costs and Revenues Is the item a future cost or revenue?
Learning Objective 4 • Discuss several major • qualitative factors that should • be considered when making • a business decision.
Qualitative Factors These are non-numerical attributes that will affect decision alternatives. Customer satisfaction Product quality Employee morale Customer perceptions
Learning Objective 5 • Use accounting information to • determine the relevant cost • of various decisions.
Equipment Replacement –Gather all Decision Information Elevation Sports, Inc.’s production equipment is three years old. Its cost was $75,000 with a residual value of $15,000 and an estimated remaining life of five years. Operators expenses are $50,000 per year. Maintenance is $3,000 per year.
Equipment Replacement –Gather all Decision Information Equipment can be sold now for $20,000. The new equipment will cost $100,000. It has an estimated useful life of five years with a $10,000 residual value. Expenses for one operator are $30,000 per year and maintenance is $1,500 per year.
Old equipment New equipment Start-up costs: Cost of equipment $ 75,000 $100,000 Operating costs: Annual depreciation $ 12,000 $ 18,000 Total depreciation – 5 years 60,000 90,000 Annual labor cost 50,000 30,000 Total labor cost – 5 years 250,000 150,000 Annual maintenance cost 3,000 1,500 Total maintenance cost – 5 years 15,000 10,000 Shutdown costs: Residual value of equipment $ 15,000 $ 10,000 Current sale price old equipment 20,000 Replacement Cost Summary
Relevant Cost of Each Alternative Old equipment: Relevant: Total labor cost $250,000 Maintenance $ 15,000 Residual value $ 15,000 Current sale price $ 20,000 Irrelevant: Cost of system $ 75,000 Depreciation $ 60,000
Relevant Cost of Each Alternative New equipment: Relevant: Cost of equipment $100,000 Total labor cost $150,000 Maintenance $ 7,500 Residual value $ 10,000 Irrelevant: Depreciation $ 90,000
Keep old equipment Replace old equipment Start-up costs: Cost of new equipment $(100,000) Operating costs: Labor cost: $(250,000) (150,000) Maintenance cost: (15,000) ( 7,500) Shutdown costs: Residual value of old equipment 15,000 Sale price of old equipment sold now 20,000 Residual value of new equipment 10,000 Total relevant costs $(250,000) $(227,500) $22,500 in favor of buying the new equipment Replacement Cost Comparison
Special Orders A special order is outside the normal scope of business activity. A representative of a Swiss ski resort approaches Elevation Sports, Inc., with a proposition to purchase 2,000 snowboards for $70 each. The normal wholesale price is $95 per board. Should Elevation Sports, Inc., accept this order?
Detailed calculation for cost of goods sold Per unit Total Number of units 1 5,000 Direct material costs $10 $ 50,000 Direct labor costs 25 125,000 Variable production costs 15 75,000 Fixed production costs 20 100,000 Total cost of goods sold $70 $350,000 Gather Relevant Information Expected wholesale sales (5,000 units @ $95 each) $475,000 Less: Cost of goods sold 350,000 Expected gross margin $125,000
Gather Relevant Information Relevant costs for special order of 2,000 snowboards Per unit Total Sales from special order $70 $140,000 Direct material costs $10 $ 20,000 Direct labor costs 25 50,000 Variable production costs 15 30,000 Total relevant production costs $50 $100,000 Total increase in income $20 $ 20,000
Make or Buy Decisions Outsourcing is buying services, products, or components of products from outside vendors instead of producing them. Elevation Sports, Inc., has always purchased its binding from a vendor. The vendor has now indicated that the price will increase from $5.00 each to $7.00. Is it cheaper to manufacture the binding?
Cost per unit Total cost for 10,000 units Direct material $3.00 $30,000 Direct labor 1.00 10,000 Variable overhead 0.50 5,000 Fixed overhead 0.40 4,000 Total costs $4.90 $49,000 Gather Relevant Information Cost of producing bindings:
Future? Differs? Relevant? Direct material yes yes yes Direct labor yes yes yes Variable manufacturing overhead yes yes yes Fixed overhead: new machine yes yes yes Selecting Relevant Costs
Make Buy Cost to purchase (10,000 × $7) $70,000 Direct material $30,000 Direct labor 10,000 Variable overhead 5,000 Fixed overhead 4,000 Total relevant costs $49,000 $70,000 $21,000 in favor of making the bindings Relevant Cost of Make orBuy Decisions for Bindings
Make Buy Cost to purchase (10,000 × $7) $70,000 Direct material $30,000 Direct labor 10,000 Variable overhead 5,000 Additional fixed overhead 4,000 Fixed overhead 15,000 15,000 Total relevant costs $64,000 $85,000 $21,000 in favor of making the bindings Relevant Cost of Make orBuy Decisions for Bindings
Learning Objective 6 • Interpret the effects of fixed • costs and opportunity costs • on various decisions.
Costs which can change Costs which cannot change Special Relevant Cost Considerations for Fixed Costs Fixed costs normally are irrelevant in make or by decisions. Fixed costs categories:
Decision to Outsource Services Fast Track Delivery Service operates a small auto repair facility. Fast Track is considering using a local CPA firm to prepare the weekly payroll. It currently pays $1,500 per week plus benefits and payroll taxes of $525 per week. Weekly administrative costs of $1,000 per week will not change.
Decision to Outsource Services The CPA firm has offered to provide the services for $2,000 per week. If Fast Track accepts the offer, they could reduce the weekly wages by $1,250, benefits by $450, and save supplies costs of $125 per week.
Continue in-house Outsource Salary costs $1,500 $ 250 Benefits and payroll taxes 525 2,000 Costs of CPA firm 125 0 Total relevant costs $2,150 $2,325 Relevant Costs forEach Alternative
Decision to Add orClose Divisions When a firm has excess capacity, expanding to produce new product lines or adding new divisions can be profitable because the firm does not have to add fixed costs. As long as a product or division is producing contribution margin toward unavoidable fixed costs, it is usually more profitable to continue.
A B c Current loss $110,000 $ 130,000 $100,000 Decision to Add orClose Divisions Austin Products has three product lines, A, B, and C that it considers losers. Unavoidable fixed costs $130,000 $ 50,000 $250,000 Decision choice Continue Close Continue
Mountain Boards Example Elevation Sports, Inc. is considering manufacturing and selling mountain boards. Potential sales price per unit: Wholesale $120 Retail 200
Mountain Boards Example Variable costs per unit: Materials $30 Labor 20 Variable overhead 30 Total variable cost per unit $80 Allocated unavoidable fixed costs (part of current fixed costs) 20,000 Added new fixed costs 3,000
(1) BEUnits = FC UCM = $23,000 $200 – $80 = 192 units (2) BEUnits = FC UCM = $3,000 $200 – $80 = 25 units Mountain Boards Example: Assumptions Retail sales:
(1) BEUnits = FC UCM = $23,000 $120 – $80 = 576 units (2) BEUnits = FC UCM = $3,000 $120 – $80 = 75 units Mountain Boards Example: Assumptions Wholesale sales:
Worst case Best case Added sales (A) (B) $69,120 $5,000 Additional variable costs 46,080 2,000 Additional contribution margin $23,040 $3,000 Added fixed costs 3,000 3,000 Addition to net income $20,040 $ -0- Mountain Boards Example: Schedule (A) $120 wholesale price × 576 units = $69,120 (B) $200 retail price × units = $5,000
Considering Opportunity Costs An opportunity cost is the value of what is given up because of choosing one alternative over another. Assume that Elevation Sports, Inc., can use its excess capacity to make the bindings or produce mountain boards, but not both. The officers believe that they can sell at least 200 mountain boards.
Considering Opportunity Costs What is the contribution margin of the 200 boards at retail prices? Sales ($200 × 200) $40,000 Less: Variable costs ($80 × 200) (16,000) Added Fixed Costs (3,000) Net Contribution Margin $21,000
Make Buy Cost to purchase (10,000 × $7) $70,000 Direct material $30,000 Direct labor 10,000 Variable overhead 5,000 Fixed overhead 4,000 Opportunity costs 21,000 Total relevant costs $70,000 $70,000 Difference = $0 Relevant Cost of Make orBuy Decisions for Bindings
Appendix Regression analysis is a mathematical model that uses all the items in the data set to compute a least-squares regression line that equals the total cost formula. Y = a + bX Y = total costs a = fixed costs b= unit variable cost X = the activity level