Question

In: Accounting

Texas-Q Company produces and sells barbeque grills. Texas-Q sells three models: a small portable gas grill,...

Texas-Q Company produces and sells barbeque grills. Texas-Q sells three models: a small portable gas grill, a larger stationary gas grill, and the specialty smoker. In the coming year, Texas-Q expects to sell 18,400 portable grills, 46,000 stationary grills, and 4,600 smokers. Information on the three models is as follows: Portable Stationary Smokers Price $92 $201 $252 Variable cost per unit 45 135 144 Total fixed cost is $2,064,960. Required:

1. What is the sales mix of portable grills to stationary grills to smokers?

2. Compute the break-even quantity of each product.

3. Prepare an income statement for Texas-Q for the coming year. What is the overall contribution margin ratio? Use the contribution margin ratio to compute overall break-even sales revenue. Enter the contribution margin ratio as a percentage rounded to two decimal places; round the break-even sales revenue to the nearest dollar.

4. Compute the margin of safety for the coming year.

Solutions

Expert Solution

1. Sales mix = 4:10:1

Portable grills Stationary grills Smokers
Sales units 18400 46000 4600
Divide by 200 92 230 23
Divide by 23 4 10 1

2.

Sales mix Sales price per unit Total per composite unit
Portable grills 4 $92 $368
Stationary grills 10 $201 $2,010
Smokers 1 $252 $252
$2,630
Sales mix Variable cost per unit Total per composite unit
Portable grills 4 $45 $180
Stationary grills 10 $135 $1,350
Smokers 1 $144 $144
$1,674
Contribution margin per composite unit
Sales price $2,630
Less: Variable cost $1,674
Contribution margin $ 956
Total fixed costs / Contribution margin per unit = Break-Even Units
$2,064,960 / $956 = 2160 composite units
Number per composite unit Number of composite units to break even Break-even quantity
Portable grills 4 2160 8640 units
Stationary grills 10 2160 21600 units
Smokers 1 2160 2160 units

3.

Texas-Q Company
Income Statement
Sales 12098000
Variable costs 7700400
Contribution margin 4397600
Fixed costs 2064960
Net income $ 2332640

Overall contribution margin ratio = $4397600/$12098000 = 36.35%

Overall break-even sales revenue = $2064960/36.35% = $5680770

4. Margin of safety = Sales - Break-even sales = $12098000 - $5680770 = $6417230


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