The Global Sports Center is contemplating producing a new pair of mountain climb

The Global
Sports Center is contemplating producing a new pair of mountain climbing boots
that would sell for $150 per pair. The
per-unit variable cost is $80 and the fixed cost per year allocated to this
product is $70000. The manager
estimates that annual sales of this product would have a mean of 10000 units
with a standard deviation of 2000 units.a)
What is the breakeven point?b)
What is the probability of at least breaking
even?c) What volume must be sold to
obtain a profit of $500000?d) What is the profit when 12000
pairs are sold?e) If the company has decided to produce the boots if the probability
of a profit of $500000 or more is 50% or higher what should they do? Base
your answer on a probability.