William Company owns and operates a nationwide chain of movie theaters

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 William Company owns and operates a nationwide chain of movie theaters. The 500 properties in the
William chain vary from low-volume, small-town, single-screen theaters to high-volume, big-city,
multiscreen theaters.
The management is considering installing machines that will make popcorn on the premises.
These machines would allow the theaters to sell freshly popped popcorn rather than prepopped corn
that is currently purchased in large bags. This new feature would be advertised and is intended to
increase patronage at the company's theaters.
Annual rental costs and operating costs vary with the size of the machines. The machine capacities and costs are as follows: 

Economy Regular Super Annual capacity (boxes) 50,000 120,000 300,000 Costs Annual machine rental
$8,000 $11,000 $20,000 Popcorn cost per box 13c 13c 13c Other costs per box 22c 14c 05 Cost of each box
08c 080 08c

 Required:
a. Calculate the volume level in boxes at which the economy popper and regular popper
would earn the same profit (loss).
b. Management can estimate the number of boxes to be sold at each of its theaters. Present a
decision rule that would enable William's management to select the most profitable
machine without having to make a separate cost calculation for each theater.
c. Could management use the average number of boxes sold per seat for the entire chain and
the capacity of each theater to develop this decision rule? Explain your answer.