In: Finance
Product X is selling for $40/unit. Its variable costs are $20/unit. Fixed costs associated with this product are $300,000/year. The company expects to sell 250,000 of Product X a year.
Solution:
The selling price of the product = $40 / unit
variable cost = $20 / unit
Fixed cost = $300,000 / year
Quantity sold = 250,000
Part A ) The current annual profit of Product X
Part B )
The breakeven point is the point where there is no profit and no loss.
Suppose Q is the breakeven quantity.
Part C )
Total cost when the quantity produced is 250,000
Total cost = $20*250,000 + 300,000 = 5,300,000
Markup of 20% over it = 5,300,000 * (1.20) = 6,360,000
Now in order to earn $4,700,000 profit, the price should be
4,700,000 = 250,000 * P - 6360000
P = 11060000 / 250000 = $44.24
Part D )
% chnage in quantity = 10,000 / 250,000 = 0.04
% chnage in price = 4/40 = -0.1