Question

Problem 4-20 Sales Mix; Multi-Product Break-Even Analysis [LO9]

Smithen Company, a wholesale distributor, has been operating for only a few months. The company sells three products—sinks, mirrors, and vanities. Budgeted sales by product and in total for the coming month are shown below based on planned unit sales as follows:

	Units		Percentage
Sinks	500		45	%
Mirrors	300		27	%
Vanities	300		27	%
Total	1,100		100	%

	Product
	Sinks						Mirrors						Vanities						Total
Percentage of total sales		42	%					30	%					28	%					100	%
Sales	$	213,362.50			100	%	$	151,500			100	%	$	140,137.50			100	%	$	505,000.00			100	%
Variable expenses		42,672.50			20	%		106,050			70	%		63,061.88			45	%		211,784.38			42	%
Contribution margin	$	170,690.00			80	%	$	45,450			30	%	$	77,075.63			55	%		293,215.63			58	%
Contribution margin per unit	$	341.38					$	151.50					$	256.92
Fixed expenses																				255,780.00
Operating income																			$	37,435.63

Break-even point in sales dollars	=	Fixed expenses	=	$255,780	=	$441,000
		Overall CM ratio		0.58

Break-even point in unit sales:

Total Fixed expenses		$255,780
	=		= 959.56 units
Weighted-average CM per unit		$266.56*
*($341.38 × 0.45) + ($151.50 × 0.27) + ($256.92 × 0.27)

Assume that actual sales for the month total $608,576 (1,300 units), with the CM ratio and per unit amounts the same as budgeted. Actual fixed expenses are the same as budgeted, $255,780. Actual sales by product are as follows: sinks, $194,160 (455 units); mirrors, $262,600 (520 units); and vanities, $151,816 (325 units).

Required:

1. Prepare a contribution format income statement for the month based on actual sales data. (Round your percentage answers to the nearest whole number.)

2. Compute the break-even point in sales dollars for the month, based on the actual data. (Round your intermediate calculations to the nearest whole percent. Round your final answer to the nearest whole dollar.)

3. Calculate the break-even point in unit sales for the month, based on the actual data. (Round your final answer to the nearest whole number.)

Answer 1