In: Accounting
The manager of Calypso, Inc. is considering raising its current
price of $34 per unit by 10%. If she does so, she estimates that
demand will decrease by 20,000 units per month. Calypso currently
sells 51,100 units per month, each of which costs $23 in variable
costs. Fixed costs are $190,000.
a. What is the current profit?
b. What is the current break-even point in units?
(Round your answer to the nearest whole
number.)
c. If the manager raises the price, what will
profit be? (Do not round intermediate
calculations.)
d. If the manager raises the price, what will be
the new break-even point in units? (Do not round
intermediate calculations. Round your answer to the nearest whole
number.)
e. Assume the manager does not know how much
demand will drop if the price increases. By how much would demand
have to drop before the manager would not want to implement the
price increase? (Do not round intermediate calculations.
Round your answer to the nearest whole number.)
Current contrybution per unit = sales price - variable cost = $34 - $23 = $11 | |||||||||||
New contrybution per unit = sales price - variable cost = $34 +10% of $34 - $23 = $37.40 -$23 = $14.40 | |||||||||||
a. Current Profit | |||||||||||
Current profit = Contrybution - fixed cost | |||||||||||
= $11 * 51,100 units - $190,000 | |||||||||||
= $372,100 | |||||||||||
b. Current Breakeven points in units | |||||||||||
Current Breakeven points in units = Fixed costs | |||||||||||
Contrybution per unit | |||||||||||
= $190,000 | |||||||||||
$11 | |||||||||||
= 17272.73 | |||||||||||
= 17273 units | |||||||||||
c. New profit | |||||||||||
New profit = New contrybution - Fixed costs | |||||||||||
= $14.40 * (51,100-20,000) - $190,000 | |||||||||||
= $14.40 * 31,100 units - $190,000 | |||||||||||
= $447,840 -$190,000 | |||||||||||
= $257,840 | |||||||||||
d. New break-even point in units | |||||||||||
New Breakeven point in units = Fixed costs | |||||||||||
Contrybution per unit | |||||||||||
= $190,000 | |||||||||||
$14.40 | |||||||||||
= 13,194.44 | |||||||||||
= 13,194 units | |||||||||||
e. Drop in demand would be | |||||||||||
Lets take no.of units to be X , to get same Current profit after change in sale price | |||||||||||
$372,100 = $14.40 * X units - $190,000 | |||||||||||
$372,100 + $190,000 = $14.40X | |||||||||||
$562,100 / $14.40 = X |
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