Question

Fairmount Travel Gear produces backpacks and sells them to vendors who sell them under their own label. The cost of one of it
Materials Labor Variable overhead Fixed overhead (53,487,500 per year; 465,000 units per year) Total $19.50 13.50 6.50 7.50 $
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Answer #1

1)

(All Costs in Thousands of Dollars)
Status Quo 465000 units Alternative 499000 units Difference
Sales revenue (465*$75)= $34875.0 (465*$75+34*$52)= $36643.0 (36643.0-34875.0)= $1768.0 higher
Less: Variable costs
Materials (465*$19.50)= 9067.5 9917.5 (9917.5-9067.5)= 850.0 higher
Labor (465*$13.50)= 6277.5 6838.5 (6838.5-6277.5)= 561.0 higher
Variable overhead (465*$6.50)= 3022.5 3311.5 (3311.5-3022.5)= 289.0 higher
Total variable cost 18367.5 20067.5 1700.0 higher
Contribution margin 16507.5 16575.5 68.0 higher
Less: Fixed costs 3487.5 3565.5 78.0 higher
Operating profit (loss) $13020.0 $13010.0 $10.0 lower

Calculation of Alternative 499000 units

Materials= ($19.50+5.50)*34+9067.5= $9917.5

Labor= ($13.50+3.00)*34+6277.5= $6838.5

Variable overhead= ($6.50+2.00)*34+3022.5= $3311.5

Fixed costs= 3487.5+78= $3565.5

2) No, the special order should not be accepted as the operating profit of the company will decreases if the special order is accepted.

3) Contribution margin for the additional units= Selling price-Materials-Labor-Variable overhead

= $52.0-19.5-13.5-6.5-5.5-3.0-2.0= $2.00

Fixed additional cost= One time rental cost= $78000

Minimum quantity of backpacks= Fixed additional cost/Contribution margin for the additional units

= $78000/2.0= 39000

The minimum quantity of backpacks 39000 units

NOTE:- For any problem regarding the answer please ask in the comment section.

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