Managerial accounting
Ch.5 HW
| Chapter 5, CVP | |||||||||||
| Managerial Accounting, HCT | |||||||||||
| Base Case [Plan] | |||||||||||
| Variable | |||||||||||
| per unit | Units | Fixed | |||||||||
| Sell price [SP] | $ 20.00 | ||||||||||
| Direct materials | $ 6.00 | ||||||||||
| Direct labor | $ 2.00 | ||||||||||
| Manufacturing OH | $ 3.00 | ||||||||||
| Selling exp.-commissions | 5% | Don't forget if sell price changes then commision changes | |||||||||
| of sell price | |||||||||||
| per unit | |||||||||||
| Advertising | $ 40,000 | ||||||||||
| Other selling | $ 100,000 | ||||||||||
| Admin. | $ 60,000 | ||||||||||
| Manufacturing | $ 160,000 | ||||||||||
| ←Total | |||||||||||
| Base units | 62,000 | ||||||||||
| sold & manufactured | |||||||||||
| To Do | |||||||||||
| 1 | at Base | ||||||||||
| a | Compute Contribution per unit: $s & % | ||||||||||
| b | Compute Operating Income at Base units | ||||||||||
| c | Compute Breakeven sales $s & # units | ||||||||||
| d | Compute Leverage ratio at Base units | ||||||||||
| 2. a | If a new Target income of $120,000 is to be | ||||||||||
| achieved, what # of units must be sold | |||||||||||
| b | Compute Leverage ratio at Target | ||||||||||
| 3 | Operating Income --- What-if scenarios? | ||||||||||
| a | Improve product performance, add $3.20 variable cost per unit, increase unit sales 20%, increase sell price per unit by 10% | ||||||||||
| b | Raise variable selling to 12% of sell price per unit, double advertising, sell every 5th unit at no charge, unit sales double | ||||||||||
| c | Increase sell price by 15%, unit sales decrease 14% | ||||||||||
| d | Remove features from product, decrease variable cost per unit by $3, unit sales decrease by 25% | ||||||||||
| 900 | |||||||||||
Ch5 Base case
| k | |||||||||||||
| A | RBC Company | ||||||||||||
| Item | |||||||||||||
| 1. | Planned Base Sales$s = P X Q | ||||||||||||
| 2. | Variable costs & expenses $s= Q X b. | ||||||||||||
| 3. | CM $s = contribution $s = 1.-2. | ||||||||||||
| 4. | Fixed costs & expenses [given data] | ||||||||||||
| 5. | 3.-4. = Planned Operating Income | ||||||||||||
| CMu P | $500.00 | P | $500.00 | ||||||||||
| Sell price per unit | $500.00 | P | X b. | -$300.00 | CMu | $200.00 | |||||||
| Variable costs & expenses per unit | $300.00 | b. | =CMu | $200.00 | = CM% | 40.0% | |||||||
| CMu = Contribution margin per unit | $200.00 | C. = P-b | |||||||||||
| Planned Base case Quantity | 500 | Q. | Sales$s | $500.00 | BE Qty. | ||||||||
| Planned Base Sales$s | $250,000 | e. = P X Q | X | 500 | Fixed | $80,000 | |||||||
| Variable costs & expenses $s | $150,000 | bx = b X Q | = | $250,000 | / CMu | $200.00 | |||||||
| CM $s = contribution $s | $100,000 | CM$s = e - bx OR CMu. X Q | BE Qty. | 400 | |||||||||
| CM % = Contributiin ratio = Contribution % | 40.0% | CM% = CMu/a. OR CM$s/e. | Var. cost $ | 500 | |||||||||
| X | $300.00 | Safety Margin Units | |||||||||||
| Fixed costs & expenses | $80,000 | Fxd. | = | $150,000 | Op. Inc. | $20,000 | |||||||
| Breakeven: Qty. (Units) = BE Qty | 400 | BE Qty= Fxd/CMu | / CMu | $200.00 | |||||||||
| Breakeven: Sales$s | $200,000 | BE Sales$ = BE Qty X P -OR- Fxd/ CM% | Safety Q | 100 | |||||||||
| Safety Margin $s | $50,000 | s1. = Sales $s-BE Sales$ | Var. cost $ | $300.00 | |||||||||
| Safety Qty. Margin Units | 100 | s2. = Q.- BE Qty | X | $500 | Leverage ratio | ||||||||
| = | $150,000 | CM$s | $100,000 | 40.0% | |||||||||
| Operating Income [above] | $20,000 | / Op. Inc. | $20,000 | 8.0% | |||||||||
| Leverage Ratio | 5.00 | CM$ / Operating Income | 1% ∆ CM | Ratio | 5.00 | 5.00 | |||||||
| = 5% ∆ Op.Income | $s | %s | |||||||||||
| Ratio = 5 | |||||||||||||
| B | Base Case | CH.5 PPT | |||||||||||
| a | SP unit | $500 | |||||||||||
| b | Var.cost per unit | $300 | |||||||||||
| c1 | CM$/unit | $200 | a-b | per unit | |||||||||
| c2 | CM% | 40.0% | c1 / a | CM% | |||||||||
| Fixed costs | |||||||||||||
| d | Manufacturing | $50,000 | |||||||||||
| e | S&A | $30,000 | |||||||||||
| f | Total Fxd | $80,000 | d+e | ||||||||||
| g | Sales Budget [Base] | 500 | units | ||||||||||
| C | h | Profit [contribution format IS [NOT GAAP}] at Target = | Budget = Base Case | ||||||||||
| per unit | $s | % | |||||||||||
| i | Sales | $500 | $ 250,000 | 100.0% | Sales | ||||||||
| j | Variable costs & Expense | $300 | $ 150,000 | 60.0% | Variable costs & Expense | ||||||||
| k | Contribution margin | $200 | $ 100,000 | +$200/$500=40% | CM% Contrib ratio $s | 40.0% | Contribution margin | ||||||
| l | Fixed expenses | $80,000 | $100,000/$250,000=40% | 32.0% | Fixed expenses | ||||||||
| m | Net income [Operating Income] | $20,000 | 8.0% | Net income [Operating Income] | |||||||||
| D | |||||||||||||
| $250,000 | |||||||||||||
| $450,000 | |||||||||||||
| Using CM% | Using CMu | $200,000 | more | ||||||||||
| Fixed costs & expenses | $80,000 | $180,000 | to go from $20000 to $100000 | ||||||||||
| +Target Profit | $100,000 | CMu | $200.00 | profit | |||||||||
| Sunm to be covered by Sales | $180,000 | Qty | 900 | change in profit | 80,000 | ||||||||
| P | $500.00 | at 40% CM% | 40.0% | ||||||||||
| +CM% | 40.0% | $450,000 | change in sales $ | 200000 | |||||||||
| Target Sales | $450,000 | Target Sales | per unit | $500 | |||||||||
| Change in unts | 400 | ||||||||||||
| base | 500 | ||||||||||||
| Needed Qty | 900 | ||||||||||||
| E | |||||||||||||
| Quantity | 150 | Target Profit | $3,000 | ||||||||||
| Profit needed per unit | $20.00 | ||||||||||||
| Variable costs & expenses per unit | $300.00 | ||||||||||||
| Price neede to achieve desired profit | $320.00 | ||||||||||||
Ch5 CVP
| A | Base Case | CH.5 PPT | |||||||||||||||
| a | SP unit | $500 | |||||||||||||||
| b | Var.cost per unit | $300 | |||||||||||||||
| c1 | CM$/unit | $200 | a-b | per unit | |||||||||||||
| c2 | CM% | 40.0% | c1 / a | CM% | |||||||||||||
| Fixed costs | |||||||||||||||||
| d | Manufacturing | $50,000 | |||||||||||||||
| e | S&A | $30,000 | |||||||||||||||
| f | Total Fxd | $80,000 | d+e | ||||||||||||||
| g | Sales Budget [Base] | 500 | units | ||||||||||||||
| B | h | Profit [contribution format IS] at Target = | Budget = Base Case | ||||||||||||||
| per unit | $s | % | |||||||||||||||
| i | Sales | $500 | $ 250,000 | g X a | 100.0% | i / i | |||||||||||
| j | Variable costs & Expense | $300 | $ 150,000 | g X b | 60.0% | j / i | |||||||||||
| k | Contribution margin | $200 | $ 100,000 | I - j | 40.0% | k / i | +$200/$500=40% | CM% Contrib ratio $s | |||||||||
| l | Fixed expenses | $80,000 | f | 32.0% | l / i | $100,000/$250,000=40% | |||||||||||
| m | Net income [Operating Income] | $20,000 | k - l | 8.0% | m / i | ||||||||||||
| Back to PPT slide | |||||||||||||||||
| What IF | |||||||||||||||||
| C1 | n | What IF #1 | |||||||||||||||
| o | Sales up | 40 | units | Adv. Up | $10,000 | 40 | 540 | ||||||||||
| Profit [contribution format IS] at What if #1 Qty. | 500 | $500 | |||||||||||||||
| 540 | per unit | $s | % | 540 | $270,000 | ||||||||||||
| units | Sales | $500 | $ 270,000 | [was $250K] | 100.0% | i / i | 500 | 40 | Qty | ||||||||
| Variable costs & Expense | $300 | $ 162,000 | 60.0% | j / i | 540 | ||||||||||||
| Contribution margin | $200 | $ 108,000 | 40.0% | k / i | CM% | $300 | |||||||||||
| Fixed expenses | $90,000 | [was 80,000] | 33.3% | l / i | $80,000 | $10,000 | Fxd. Exp | $162,000 | |||||||||
| p | Net income [Operating Income] | $18,000 | [was 20,000] | 6.7% | m / i | ||||||||||||
| 40 | units | Net change | Adv. Up | $10,000 | Net change from the Base Case | Add Adv. | |||||||||||
| q | Net Change profit Incr/(Decr) | CMu X 40 | $8,000 | ($2,000) | ($10,000) | m - p | |||||||||||
| What IF | |||||||||||||||||
| C2 | |||||||||||||||||
| What IF #2 | |||||||||||||||||
| r | Sales up | 80 | units | Var.cost/unit | $10 | ||||||||||||
| Profit [contribution format IS] at What if #2 Qty. | |||||||||||||||||
| per unit | $s | % | |||||||||||||||
| Sales | $500 | $ 290,000 | 100.0% | 500 | 80 | Qty | |||||||||||
| b + o | Variable costs & Expense | $310 | $ 179,800 | [was $300] | 62.0% | $300 | $10 | $310 | |||||||||
| Contribution margin | $190 | $ 110,200 | 38.0% | CM% | 580 | ||||||||||||
| Fixed expenses | $80,000 | 27.6% | $179,800 | ||||||||||||||
| s | Net income [Operating Income] | $30,200 | 10.4% | ||||||||||||||
| 80 | units | Net change | Var.cost/unit | $10 | |||||||||||||
| t | Net Change profit Incr/(Decr) | $200 | $16,000 | $10,200 | ($5,800) | p - q | 580X$10 | ||||||||||
| $200 X 80 | o X c1 | o[$s] X (o[qty]+g | Net change from the Base Case | ||||||||||||||
| What IF | |||||||||||||||||
| C3 | What IF #3 | Qty | AP∆ | Adv. Up | |||||||||||||
| u | Sales up | 150 | units | Sp down | $20 | Adv. Up | $15,000 | ||||||||||
| Profit [contribution format IS] at What if #3 Qty. | |||||||||||||||||
| per unit | $s | % | |||||||||||||||
| Sales | $480 | $ 312,000 | [was $500] | 100.0% | 500 | 150 | Qty | 650 | |||||||||
| Variable costs & Expense | $300 | $ 195,000 | 62.5% | $500 | ($20) | SP unit | $ 480.00 | ||||||||||
| Contribution margin | $180 | $ 117,000 | 37.5% | CM% | $ 312,000 | ||||||||||||
| Fixed expenses | $95,000 | [was $80,000] | 30.4% | $80,000 | $15,000 | Fxd Exp | |||||||||||
| v | Net income [Operating Income] | $22,000 | 7.1% | $95,000 | |||||||||||||
| $480 | |||||||||||||||||
| 150 | units | Net change | Sp down | Adv up[ | 650 X $20 | ($13,000) | ($300) | 650 | |||||||||
| w | Net Change profit Incr/(Decr) | 150 X $200 | $30,000 | $2,000 | ($13,000) | ($15,000) | Adv. Up | $180 | 117000 | ||||||||
| r X c1 | [r qty+ g] X r ∆SP | Net change from the Base Case | |||||||||||||||
| What IF | |||||||||||||||||
| C4 | 500 | 75 | 575 | $500 | |||||||||||||
| What IF #4 | Qty | Commissions∆ | Fxd Exp | $287,500 | |||||||||||||
| x | Sales up | 75 | units | Comm.unité | $15 | Fxd Expê | $6,000 | ||||||||||
| Profit [contribution format IS] at What if #3 Qty. | 500 | 75 | Qty | 575 | |||||||||||||
| per unit | $s | % | $300 | $15 | Var.cost-Exp | $315 | |||||||||||
| Sales | $500 | $ 287,500 | 100.0% | $181,125 | |||||||||||||
| Variable costs & Expense | $315 | $ 181,125 | [was $300] | 63.0% | |||||||||||||
| Contribution margin | $185 | $ 106,375 | 37.0% | CM% | |||||||||||||
| Fixed expenses | $74,000 | [was $80K] | 25.7% | $80,000 | ($6,000) | Fxd | $74,000 | ||||||||||
| y | Net income [Operating Income] | $32,375 | 11.3% | ||||||||||||||
| Net Change profit Incr/(Decr) | 75 | units | Net change | Comm.unité | Fxd Expê | ||||||||||||
| $15,000 | $12,375 | $ (8,625) | $6,000 | ||||||||||||||
| 75X$200 | 575X$15 | Net change from the Base Case | |||||||||||||||
| Back to slide 22 | |||||||||||||||||
| Breakeven: | |||||||||||||||||
| D | Equation Method | ||||||||||||||||
| Breakeven Units: | Breakeven$s | ||||||||||||||||
| Total Fxd | $80,000 | BE units | 400 | ||||||||||||||
| divide | CM$/unit | $200 | SP unit | $500 | |||||||||||||
| BE units | 400 | BE Revenue | $ 200,000 | ||||||||||||||
| OR | 12000 | ||||||||||||||||
| 65000 | |||||||||||||||||
| Total Fxd | $ 80,000 | 21600 | |||||||||||||||
| CM% | 40.0% | Contribution Margin Method | 98600 | ||||||||||||||
| BE Revenue | $ 200,000 | ||||||||||||||||
| 526524 | |||||||||||||||||
| Proof: Profit= -0- | per unit | $s | 5.34 | ||||||||||||||
| Sales | $500 | $ 200,000 | at 400 units | 100% | |||||||||||||
| Variable costs & Expense | $300 | $ 120,000 | 60% | ||||||||||||||
| Contribution margin | $200 | $ 80,000 | 40% | ||||||||||||||
| Fixed expenses | $80,000 | ||||||||||||||||
| Net income [Operating Income] | $0 | Profit @ zero = Breakeven | |||||||||||||||
| Back to slide 33 | |||||||||||||||||
| Target | |||||||||||||||||
| Target Profit | $ 100,000 | ||||||||||||||||
| CM must cover the fixed expense AND the target profit | |||||||||||||||||
| Data | SP unit | $500 | To have a profit of | $ 100,000 | |||||||||||||
| Set | Var.cost per unit | $300 | Total Fxd | $80,000 | |||||||||||||
| CM$/unit | $200 | Sum | $ 180,000 | Profit + Fxd. Costs & Expenses | |||||||||||||
| CM% | 40.0% | ||||||||||||||||
| CM$/unit | $200 | ||||||||||||||||
| Target Units | 900 | $180000 / $200 | |||||||||||||||
| Manufacturing | $50,000 | @SP/unit | $450,000 | Target revenue $s | |||||||||||||
| S&A | $30,000 | ||||||||||||||||
| Total Fxd | $80,000 | OR | CM% | 40.0% | $180,000 / 40% | ||||||||||||
| $ 450,000 | Target revenue $s | ||||||||||||||||
| Sales Budget [Base] | 500 | Base case | Proof | Target | per unit | $s | |||||||||||
| Sales | $500 | $ 450,000 | 100% | ||||||||||||||
| Variable costs & Expense | $300 | $ 270,000 | 60% | ||||||||||||||
| Contribution margin | $200 | $ 180,000 | 40% | ||||||||||||||
| Fixed expenses | $80,000 | 18% | |||||||||||||||
| Net income [Operating Income] | $100,000 | 22% | |||||||||||||||
| Go to PPT slide 36 | |||||||||||||||||
| 1.49 | |||||||||||||||||
| -0.36 | |||||||||||||||||
| 1.13 | 76% | ||||||||||||||||
| 1300 | |||||||||||||||||
| 1150.4424778761 | |||||||||||||||||
| 1714.1592920354 | |||||||||||||||||
Ch5 Mix
| Sales Mix & CVP | Use an Average Uunit | |||||||||||
| Average | Ch.5 CVP | |||||||||||
| Bikes | Carts | Unit | ACC220 | |||||||||
| Units | 500 | 300 | 800 | |||||||||
| Mix: Units | 62.5% | 37.5% | 100.0% | |||||||||
| Dollars | 75.2% | 24.8% | 100.0% | |||||||||
| Per Unit | ||||||||||||
| Sales Price | $ 500.00 | $ 275.00 | $ 415.63 | Weighted average used units | $332,500 | $s | ||||||
| Variable cost per Unit | 800 | Units | ||||||||||
| Direct Materials | $ 200.00 | $ 125.00 | $ 171.88 | Weighted average used units | $ 415.63 | average | ||||||
| Variable LOH | $ 75.00 | $ 60.00 | $ 69.38 | Weighted average used units | ||||||||
| Total variable costs per unit | $ 275.00 | $ 185.00 | $ 241.25 | Sum | $ 200.00 | $ 125.00 | ||||||
| Varable Sales & Admin. Per Unit | $ 25.00 | $ 15.00 | $ 21.25 | Weighted average used units | 500 | 300 | 800 | Units | ||||
| Total Variable Costs & expenses | $ 300.00 | $ 200.00 | $ 262.50 | Sum | $ 100,000 | $ 37,500 | $ 137,500 | $s | ||||
| 171.88 | $s / uynits | |||||||||||
| Contribution margin per unit | $ 200.00 | $ 75.00 | $ 153.13 | Difference | ||||||||
| CM % | 40.0% | 27.3% | 36.8% | |||||||||
| Fixed Manufacturing Costs | $ 30,000 | $ 20,000 | per month | |||||||||
| Fixed S&A Expenses | $ 50,000 | per month | ||||||||||
| Added | ||||||||||||
| P&L Brief (Month) | Bikes | Carts | Total Company | 800 | ||||||||
| Sales | $250,000 | $82,500 | $332,500 | 100.0% | $ 153.13 | |||||||
| Variable Costs & Expenses | $150,000 | $60,000 | $210,000 | 63.2% | ||||||||
| CM $ | $100,000 | $22,500 | $122,500 | 36.8% | $ 122,500 | |||||||
| CM% | 40.0% | 27.3% | 36.8% | 36.842105263158% | ||||||||
| 36.800000000000% | ||||||||||||
| Fixed Costs & Expenses [given] | $ 80,000 | $ 20,000 | $100,000 | 30.1% | ||||||||
| $100,000 | ||||||||||||
| Operating Income | $20,000 | $2,500 | $22,500 | 6.8% | $22,500 | |||||||
| Operating Leverage | 5.00 | 9.00 | 5.44 | 5.44 | 1000000 | |||||||
| 368421.052631579 | ||||||||||||
| Breakeven | ||||||||||||
| Fixed Costs & Expenses | $ 80,000 | $ 20,000 | $ 100,000 | using | Mix % x BE sales $ | $100,000 | Fxd | |||||
| CM% | 40.0% | 27.3% | 36.8% | CM% | 75.2% | 24.8% | 36.8% | Mix CM% | ||||
| Breakeven | $204,082 | $67,347 | $271,429 | Method | $271,429 | $271,429 | $ 271,429 | divide | ||||
| BE $-Mix | 75.2% | 24.8% | 100% | $ 204,082 | $ 67,347 | |||||||
| Bikes | Carts | Bikes | Carts | |||||||||
| Breakeven | 81,633 | 18,367 | 100,000 | $ 204,082 | $ 67,347 | |||||||
| Fixed Costs & Expenses | $ 80,000 | $ 20,000 | $ 100,000 | using | 40.0% | 27.3% | CM % | 40.0% | 27.3% | |||
| CM$ per unit | $ 200.00 | $ 75.00 | $ 153.13 | Units | $81,633 | $18,367 | ||||||
| Breakeven units | 408 | 245 | 653 | Method | 100000 | |||||||
| BE Sales $ | $ 204,000 | $ 67,375 | $ 271,375 | * | 153 | |||||||
| * did not use fractional units would be exactly the same with fractional units | 653.06 | |||||||||||
| Redo | 480 | SP ea. | ||||||||||
| 580 | Sales | 650 | 575 | |||||||||
| 310 | Coad ea | |||||||||||
| 1.49 | 190 | CMu | 180 | 185 | ||||||||
| 1150 | 110200 | CM$s | 117000 | 106375 | ||||||||
| 1713.5 | 80000 | Fxd | 95000 | 74000 | ||||||||
| 30200 | Net inc | 22000 | 32375 | |||||||||
| 20000 | @ 500 Net Inc | 20000 | 20000 | |||||||||
| 1300 | 10200 | Increase | 2000 | 12375 | ||||||||
| 1.13 | ||||||||||||
| 1150.4424778761 | ||||||||||||
| 2100 | ||||||||||||
| 1.49 | ||||||||||||
| 0.36 | ||||||||||||
| Sales | 3129 | 3754.8 | +20% | |||||||||
| V | 756 | 907.2 | +20% | |||||||||
| Cm | 2373 | 2847.6 | +20% | |||||||||
| F | 1300 | 1301 | 0% | |||||||||
| NI | 1073 | 1546.6 | 144.1% | |||||||||
| OL | 2.21 | 44.1% | ||||||||||
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Sheet1
| Racing Bicycle Company | |||
| Contribution Income Statement | |||
| For the Month of June | |||
| Sales (500 bicycles) | $ 250,000 | ||
| Less: Variable expenses | 150,000 | ||
| Contribution margin | 100,000 | ||
| Less: Fixed expenses | 80,000 | ||
| Net operating income | $ 20,000 | ||
Sheet2
Sheet3
Sales (500 bicycles)250,000$
Less: Variable expenses150,000
Contribution margin100,000
Less: Fixed expenses80,000
Net operating income20,000$
Racing Bicycle Company
Contribution Income Statement
For the Month of June
Sheet1
| Income 300 units | Income 400 units | Income 500 units | ||||
| Sales | $ 150,000 | $ 200,000 | $ 250,000 | |||
| Less: variable expenses | 90,000 | 120,000 | 150,000 | |||
| Contribution margin | $ 60,000 | $ 80,000 | $ 100,000 | |||
| Less: fixed expenses | 80,000 | 80,000 | 80,000 | |||
| Net operating income | $ (20,000) | $ - 0 | $ 20,000 |
&A
Page &P
Income
300 units
Income
400 units
Income
500 units
Sales150,000$ 200,000$ 250,000$
Less: variable expenses90,000 120,000 150,000
Contribution margin60,000$ 80,000$ 100,000$
Less: fixed expenses80,000 80,000 80,000
Net operating income(20,000)$ -$ 20,000$
Sheet1
| Income 300 units | Income 400 units | Income 500 units | ||||
| Sales | $ 150,000 | $ 200,000 | $ 250,000 | |||
| Less: variable expenses | 90,000 | 120,000 | 150,000 | |||
| Contribution margin | $ 60,000 | $ 80,000 | $ 100,000 | |||
| Less: fixed expenses | 80,000 | 80,000 | 80,000 | |||
| Net operating income | $ (20,000) | $ - 0 | $ 20,000 |
&A
Page &P