Question

This year Burchard Company sold 37,000 units of its only product for $16.40 per unit. Manufacturing and selling the product required $122,000 of fixed manufacturing costs and $182,000 of the fixed selling and administrative costs. It?s per unit variable costs follow.

Material $4.20
Direct labor (paid on the basis of completed units) 3.20
Variable overhead costs 0.42
Variable selling and administrative costs 0.22
Next year the company will use new material, which will reduce material costs by 50% and direct labor costs by 50% and will not affect product quality or marketability. Management is considering an increase in the unit selling price to reduce the number of units sold because the factory's output is nearing its annual output capacity of 42,000 units. Two plans are being considered. Under plan 1, the company will keep the selling price at the current level and sell the same volume as last year. This plan will increase income because of the reduced costs of using the new material. Under plan 2, the company will increase the selling price by 20%. This plan will decrease unit sales volume by 5%. Under both plans 1 and 2, the total fixed costs and the variable costs per unit for overhead and for selling and administrative costs will remain the same.

Required:

1. Compute the break-even point in dollar sales for both (a) plan 1 and (b) plan 2.

Per unit Plan 1 Plan 2
Sales
Variable Costs
Material
Direct labor
Variable overhead costs
Variable S&A costs
Total variable costs
Contribution margin
2. Prepare a forecast contribution margin income statement with two columns showing the expected results of plan1 and plan 2. The statements should reports sales, total variable costs, contribution margin, total fixed costs, income before taxes, income taxes (40% rate), and net income.

Answer 1

plan 1:

units sold 37,000

sales price per unit $16.40

materials per unit $2.10

direct labor per unit $1.60

variable overhead costs per unit $0.42

variable selling and administrative costs per unit $0.22

fixed manufacturing $122,000

fixed selling and administrative $182,000

plan 2:

units sold 35,150

sales price per unit $19.68

materials per unit $2.10

direct labor per unit $1.60

variable overhead costs per unit $0.42

variable selling and administrative costs per unit $0.22

fixed manufacturing $122,000

fixed selling and administrative $182,000

1) break even points:

Plan 1 = ($304,000) / ($16.40 - $4.34) = 25,207.30 = 25,208 units

Plan 2 = ($304,000) / ($19.68 - $4.34) = 19,817.47 = 19,818 units

2) contribution income statement

Plan 1 Plan 2

Sales revenue $606,800 $691,752

Variable costs:

Production costs $152,440 $144,818

Selling and adm. costs $8,140 $7,733

Contribution margin $446,220 $539,201

Fixed costs:

Manufacturing costs $122,000 $122,000

Selling and adm. costs $182,000 $182,000

Income before taxes $142,220 $235,201

Income taxes $56,888 $94,080

Net income $85,332 $141,121