Question

Fancy Millwork has a factory that produces custom kitchen cabinets. It has multiple product lines ment, we Materials and labo

(Figure a - correct practice) total costs of the unit is XXX . XXX +XXX * XXX + XXX-XXX (Figure b- wrong practice) Finally, y


Help with Question 2, do a CVP Analysis. Include an explanation on the side so that I can understand what you did.

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Answer #1

Computation of Total Manufacturing Overhead:

Salary of Factory Supervisors and Janitors $ 200,000
Factory Rent 80,000
Depreciation on Factory Equipment 70,000
Factory Property Taxes 10,000
Maintenance for Factory Equipment 80,000
Estimated Total Manufacturing Overhead $ 440,000

Predetermined manufacturing overhead rate = Estimated Total Manufacturing Overhead / Estimated Direct Labor Hours = $ 440,000 / 32,000 DLH = $ 13.75 per DLH

Computation of selling price per unit:

Direct Materials per unit $ 2,000
Direct Labor per unit 400
Manufacturing Overhead per unit ( 40 DLH x $ 13.75 ) 550
Total Manufacturing Cost per unit $ 2,950
Markup of 80 % 2,360
Sales Price per unit $ 5,310

Variable cost per unit = $ 2,000 + $ 400 + $ 117.50 = $ 2,517.50

Contribution margin per unit = $ 5,310 - $ 2,517.50 = $ 2,792.50

Total fixed cost = $ 1,004,000

a. Break-even point in units = Total Fixed Cost / Contribution Margin per Unit = $ 1,004,000/ $ 2,792.50  = 359.53 units or 360 units

Break-even sales dollars = $ 360 x $ 5,310 = $ 1,911,600.

b. For a profit of $ 2,000,000,

Required unit sales = ( Fixed Cost + Target Profit ) / Contribution Margin per Unit = $ 3,004,000 / $ 2,792.50 = 1,075.74 units

Required sales revenue = 1,075.74 x $ 5,310 = $ 5,712,179

c. Margin of safety for 800 units = Actual Sales - Break-even Sales = 800 - 360 = 440 units

Margin of safety in dollars = 440 units x $ 5,310 = $ 2,336,400.

Margin of safety in percentage = 440 / 800 * 100 = 55 %

2.

CVP Income Statement
800 units Total Per Unit
Sales Revenue ( 800 units x $ 5,310 x 105 % ) $ 4,460,400 $ 5,575.50
Variable Costs
Cost of Goods Sold 1,760,000 2,200
Variable Selling Expenses 74,000 92.50
Variable Administrative Expenses 20,000 25.00
Total Variable Costs 1,854,000 2,317.50
Contribution Margin 2,606,400 3258.00
Fixed Costs ( $ 1,004,000 x 130%) 1,305,200
Net Operating Income $ 1,301,200
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