In: Economics
On a weekly basis KleineFirma producing a product has overheads (i.e., fixed costs) of $12,000. The product additionally costs $15 per unit to produce and, because the firm is small, all output can be sold at a unit price of $22. (i) Calculate the break-even quantity. (ii) Calculate the new break-even quantity if the selling price falls to $20. (iii) Calculate the new break-even quantity if fixed costs change to $20,000. (iv) Calculate the new break-even quantity if variable costs change to $16. (v) Show (and hence confirm) your answers graphically. NOTE: in specific looking for the answer to v but would like to get confirmation on the other answers too
(A) new break even quantity | ||||
sales price | 22 | |||
variable Cost | 15 | |||
contribution = S-V | 7 | |||
fixed cost | 12000 | |||
Break even quantity | ||||
fixed cost/ contribution | 1714.286 | 1714 | ||
(B) sales price reduced to $20 | ||||
sales price | 20 | |||
variable Cost | 15 | |||
contribution = S-V | 5 | |||
fixed cost | 12000 | |||
Break even quantity | ||||
fixed cost/ contribution | 2400 | |||
(C ) fixed cost change to $20000 | ||||
sales price | 20 | 22 | ||
variable Cost | 15 | 15 | ||
contribution = S-V subject to | 5 | 7 | ||
fixed cost | 20000 | |||
Break even quantity | ||||
fixed cost/ contribution | 2857.143 | if contribution is $7 | ||
4000 | if contribution is $5 | |||
(D) variable cost change to $16 | ||||
sales price | 20 | |||
variable Cost | 16 | |||
contribution = S-V | 4 | |||
fixed cost subject to | 20000 | 12000 | ||
Break even quantity | ||||
fixed cost/ contribution | 5000 | if fixed cost is 20000 | ||
3000 | if fixed cost is $12000 | |||