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Break Even Tutorial

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Evaluating one project:

PW examples:
Q1:
A retrofitted space-heating system is being considered for a small office building.
The system can be purchased and installed for $110,000, and it will save an
estimated 300,000 kilowatt-hours (kWh) of electric power each year over a six-year
period. A kilowatt-hour of electricity costs $0.10, and the company uses a MARR
of 15% per year in its economic evaluations of refurbished systems. The market
value of the system will be $8,000 at the end of six years, and additional annual
operating and maintenance expenses are negligible. Use the PW method to
determine whether this system should be installed.
Q2:
A piece of new equipment has been proposed by engineers to increase the
productivity of a certain manual welding operation. The investment cost is $25,000,
and the equipment will have a market value of $5,000 at the end of a study period of
five years. Increased productivity attributable to the equipment will amount to
$8,000 per year after extra operating costs have been subtracted from the revenue
generated by the additional production. A cash-flow diagram for this investment
opportunity is given below. If the firm’s MARR is 20% per year, is this proposal a
sound one? Use the PW method.
AW Example:

IRR Example:

ERR Example
Bond value Example
Breakeven for one project:
Q1:
Indira Industries is a major producer of diverter dampers used in the gas turbine
power industry to divert gas exhausts from the turbine to a side stack, thus
reducing the noise to acceptable levels for human environments. Normal
production level is 60 diverter systems per month, but due to significantly
improved economic conditions in Asia, production is at 72 per month. The
following information is available.
Fixed costs FC = $2.4 million per month
Variable cost per unit v = $35,000
Revenue per unit r = $75,000
(a) How does the increased production level of 72 units per month compare with the
current breakeven point?
(b) What is the current profit level per month for the facility?
(c) What is the difference between the revenue and variable cost per damper that is
necessary to break even at a significantly reduced monthly production level of 45
units, if fixed costs remain constant?
Q2:
The fixed cost at Harley Motors is $5 million annually. The main product has
revenue of $89 per unit and $45 variable cost. Estimate the following:
(a) Breakeven quantity per year; and (b) annual profit if 100,000 units are sold,
and if 200,000 units are sold.
Q3:
The manufacturing process at Simplicity XP has a fixed cost of $40,000 per month.
A total of 100 units can be produced in 1 day at a cost of $3000 for materials and
labor for the day. If the company’s MARR is 12% per year, compounded monthly,
how many units must be sold each month at $50 per unit for the company to just
break even?
Q4:
A professional photographer who specializes in wedding-related activities paid
$48,000 for equipment that will have a $2000 salvage value after 5 years. He
estimates that his costs associated with each event amount to $65 per day. If he
charges $300 per day for his services, how many days per year must he be employed
to break even at an interest rate of 8% per year?
Breakeven between two alternatives
Q5:
A rotational molding operation has fixed costs of$10,000 per year and variable costs
of $50 per unit If the process is automated via conveyor, its fixed cost will be
$22,800 per year but its variable cost will be only $10 per unit. Determine the
number of units each year necessary for the two operations to break even.
Q6:

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