The following information is for the Jeffries Corporation:
Product A: Revenue $16.00 Variable Cost $12.00
Product B: Revenue $24.00 Variable Cost $16.00
Total fixed costs $75,000
Assume the sales mix consists of three units of Product A and one unit of Product B.
If the sales mix shifts to four units of Product A and one unit of Product B, then the weighted-average contribution margin will:____________

Respuesta :

Answer:

will decrease per unit

If the sales mix shifts to four units of Product A and one unit of Product B, then the weighted-average contribution margin will: $ 4.8 per unit of sales mix.

Explanation:

Jeffries Corporation:  

                                        Product A:        Product B:

Revenue                           $16.00             $24.00

Variable Cost                      $12.00             $16.00

Contribution Margin         $ 4.0                 $8.0

Sales Mix                          3 units                1 unit

 %                                     0.75                  0.25

When he sales mix consists of three units of Product A and one unit of Product B the weighted-average contribution margin was

C.M (3* Product A ) +C. M( 1* Product B)

$ 4.0*0.75 + $8.0*0.25= $ 3.0 + $2.0 = $ 5.0

If the sales mix shifts to four units of Product A and one unit of Product B, then the weighted-average contribution margin will: $ 4.8 per unit of sales mix.

The new Sales mix % will be

Product A = 4/5= 0.8 % and

Product B = 1/5 = 0.2%

C.M (4* Product A ) +C. M( 1* Product B)

$ 4.0*0.8 + $8.0* 0.2= $ 3.2 + $1.6 = $ 4.8

Because the contribution margin of Product B is greater and the CM of Product A is less so when we decrease the % of Product B in the Sales mix the CM is also decreased.