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The McKnight Company manufactures and sells pens. Currently, 5,000,000 units are sold per year at $0.60 per unit. Fixed costs

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Answer #1

1-a) Contribution margin per unit= Selling price per unit-Variable costs per unit

= $0.60-0.40= $0.20

Operating income= Contribution margin per unit*Number of units sold-Fixed costs

= $0.20*5000000-880000= $120000

b) Break even point in units= Fixed costs/Contribution margin per unit

= $880000/0.20= 4400000

Break even point in revenues= Break even point in units*Selling price per unit

= 4400000*$0.60= $2640000

2) New variable costs= $0.40+0.08= $0.48

Contribution margin per unit= Selling price per unit-Variable costs per unit

= $0.60-0.48= $0.12

Operating income= Contribution margin per unit*Number of units sold-Fixed costs

= $0.12*5000000-880000

Operating loss= $-280000

3) New fixed costs= $880000*1.10= $968000

New units sold= 5000000*1.10= 5500000

Operating income= Contribution margin per unit*Number of units sold-Fixed costs

= $0.20*5500000-968000= $132000

4) New fixed costs= $880000*0.60= $528000

New selling price per unit= $0.60*0.60= $0.36

New variable cost per unit= $0.40*0.70= $0.28

New units sold= 5000000*1.45= 7250000

Contribution margin per unit= Selling price per unit-Variable costs per unit

= $0.36-0.28= $0.08

Operating income= Contribution margin per unit*Number of units sold-Fixed costs

= $0.08*7250000-528000= $52000

5) New fixed costs= $880000*1.10= $968000

Break even point in units= Fixed costs/Contribution margin per unit

= $968000/0.20= 4840000 units

6) New selling price= $0.60*1.10= $0.66

New fixed costs= $880000+30000= $910000

Contribution margin per unit= Selling price per unit-Variable costs per unit

= $0.66-0.40= $0.26

Break even point in units= Fixed costs/Contribution margin per unit

= $910000/0.26= 3500000 units

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