Question

Carey Company had sales in 2016 of $1,560,000 on 60,000 units. Variable costs totaled $900,000, and fixed costs totaled $500,000. A new raw material is available that will decrease the variable costs per unit by 20% (or $3). However, to process the new raw material, fixed operating costs will increase by $100,000. Management feels that one-half of the decline in the variable costs per unit should be passed on to customers in the form of a sales price reduction. The marketing department expects that this sales price reduction will result in a 5% increase in the number of units sold.

(a) Prepare a projected CVP income statement for 2017, assuming the changes have not been made, and
(b) assuming that changes are made as described.

Answer 1

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price per unit= 1,560,000 / 60,000= $26

Unitary variable cost= 900,000 / 60,000= $15

Fixed costs= $500,000.

First, the income statement without the changes:

Sales= 1,560,000

Total varaible cost= (900,000)

Contribution margin= 660,000

Total fixed costs= (500,000)

Net operating income= 160,000

Now, with the changes:

Unitary variable cost= (15*0.8)= 12

Selling price= 26 - 1.5= $24.5

Sales in units= 60,000*1.05= 63,000

Fixed costs= 500,000 + 100,000= $600,000

Sales= 24.5*63,000= 1,543,500

Total variable cost= (12*63,000)= (756,000)

Total contribution margin= 787,500

Fixed costs= (600,000)

Net operating income= 187,500