Question

Hard-As-Rock Pillow Limited makes a luxury hairy pillow. The company plans to produce and sell 12,000,000 units in 2023. TheLazy Chair $78.90 High Seat $146.90 $10.01 $15.11 $4.50 $6.50 Activity Selling Price Direct Material (per unit) Direct Labour

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1 Contribution per unit 51.47
2 Contribution margin ratio 39.93%
3 Break even point 5564406
4 Contribution margin ratio in sales mix 67.99%
5 No of units
Lazy chair 9766752
High seat 3497149

Workings:

1,2&3:

Luxury hair pillow
Selling price 128.9
Less: Variable costs
Direct Material 31.05
Direct Labour 14.5
Variable manufacturing overhead 8.9
Variable selling expense 22.98
Contribution per unit 51.47
Contribution margin
[Contribution per unit/ Selling price]
39.93%
Fixed manufacturing overhead 121,580,000
Fixed administrative overhead 72,220,000
Fixed marketing 92,600,000
Total fixed costs 286,400,000
Break even point
[Fixed costs /Contribution per unit]
5564406

4&5:

Lazy chair High seat
Selling price 78.9 146.9
Less: Variable costs
Direct Material 10.01 15.11
Direct Labour 4.5 6.5
Variable manufacturing overhead 8.73 12.73
Variable selling expense 2.98 9.98
Contribution per unit 52.68 102.58
Contribution margin
[Contribution per unit/ Selling price]
66.77% 69.83%
Fixed manufacturing overhead 121,580,000 166,980,000
Fixed administrative overhead 72,220,000 255,780,000
Fixed marketing 92,600,000 95,550,000
Total fixed costs 286,400,000 518,310,000
Sales mix Contribution % (a) *(b)
(a) (b)
Lazy chair 0.6 66.77% 40.06%
High seat 0.4 69.83% 27.93%
Weighted contribution 67.99%
Fixed costs
Lazy chair 286,400,000
High seat 518,310,000
Desired profit 68,540,000
873,250,000
Weighted contribution 67.99%
Desired sales [873,250,000/67.99%]    1,284,327,863.28
Sales mix Desired sales (a*b) Selling price per unit No of units sold
(a) (b) (c ) (d) (c/d)
Lazy chair 0.6     1,284,327,863.28                 770,596,717.97 78.9          9,766,752
High seat 0.4     1,284,327,863.28                 513,731,145.31 146.9          3,497,149
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