Carey Company had sales in 2019 of $1,766,800 on 63,100 units. Variable costs totaled $1,009,600, and fixed costs totaled $499,000. A new raw material is available that will decrease the variable costs per unit by 20% (or $3.20). However, to process the new raw material, fixed operating costs will increase by $98,000. 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 2020, assuming the changes have not been made. B) Prepare a projected CVP income statement for 2020, assuming that changes are made. Carey Company CVP Income Statement Total Per Unit $ $

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Answer:

sales revenue 66,255 x $26.4  =  1.749.132‬

variable cost:  66,255 x $12.80 = (848.064‬)  

contribution margin                        901.068‬

fixed cost:                                       (597,000)

projected income                           304.068‬

Explanation:

variable cost per unit:

1,009,600 / 6,300 = 16

the varaible cost decrease 20% which is 3.20

new variable cost: 12.80

fixed cost increase by 98,000 to 597,000 from 499,000

sales:

1,766,800 / 63100 = 28

half the savings move to consumer:

28 - 3.2/2 = 26.4

63,100 x 1.05 = 66,255‬

sales revenue 66,255 x $26.4  =  1.749.132‬

variable cost:  66,255 x $12.80 = (848.064‬)  

contribution margin                        901.068‬

fixed cost:                                       (597,000)

projected income                           304.068‬