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Desks $1,223.75 Chairs $385.00 220.00 Selling price per unit Variable costs per

ID: 2479050 • Letter: D

Question

Desks $1,223.75 Chairs $385.00 220.00 Selling price per unit Variable costs per unit Contribution margin per unit Direct labor hours per unit 530.00 $ 693.75 $165.00 5 hours 175 desksS 4 hours 48 chairs Expected demand for next quarter Santana has determined that she only has 1,015 direct labor hours available for the next quarter and wants to optimize her contribution margin given the limited number of direct labor hours available Required: Determine the optimal sales mix and the contribution margin the business will earn at that sales mix. (Round per unit amounts to 2 decimal places.) Desks Chairs Sales Variable costs Contribution per direct labor hour 1,223.75 $ 385.00 220 165.00 530 693.75 $ Desks Chairs Total 175 48 192 The company does not have enough hours to fill maximum demand. Maximum number of units to be sold Hours required to produce maximum units 875 1,067 For most profitable sales mix Desks Chairs Total Hours dedicated to the production of each 875 140 1,015 roduct Units produced for most profitable sales mix Contribution margin per unit Total contribution margin

Explanation / Answer

Computation of Contribution Per Direct Labor hr

Particulars

Desks

Chairs

Sales

$          1,223.75

$        385.00

Variable costs

$              530.00

$        220.00

Contribution margin per unit

$              693.75

$        165.00

Direct Labor hrs per unit

5

4

Contribution per labor hr

$              138.75

$          41.25

Rank

I

II

Desks

Chairs

Total

Maximum no of units to be sold

175

48

Direct Labor hrs per unit

5

4

Hours required to produce maximum units

875

192

1067

Available Hrs

1015

Less : Allocated to Product Desk for 175 units

-875

Balance availale hrs

140

No of units of Chairs can be produced @ 4 hrs per chair

35

Computation of Contribution Per Direct Labor hr

Particulars

Desks

Chairs

Sales

$          1,223.75

$        385.00

Variable costs

$              530.00

$        220.00

Contribution per labor hr

$              138.75

$          41.25

Desks

Chairs

Total

Hours dedicated to the production of each product

875

140

1015

Units produced for Profitable Sales Mix

175

35

Contribution margin per unit

$              693.75

$        165.00

Total Contribution margin

$     121,406.25

$    5,775.00

$                   127,181.25

Computation of Contribution Per Direct Labor hr

Particulars

Desks

Chairs

Sales

$          1,223.75

$        385.00

Variable costs

$              530.00

$        220.00

Contribution margin per unit

$              693.75

$        165.00

Direct Labor hrs per unit

5

4

Contribution per labor hr

$              138.75

$          41.25

Rank

I

II

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