The monthly profit for a small company
that makes long-sleene t-shirts depends on
the price per shirt. if the price is too high,
sales will drop. if the price is too low, the
revenue brought in may not cover the cost
to produce the shirts. after months of data
collection, the sales team determines that
the monthly profit is approximated by
p(x) = -50x²+1700x - 12000 ,where x is the
price per shirt and p(x) is the monthly
profit in dollars based on that price.
a) find the y-intercept and explain what it means in this context.
b) find the x-intercept and explain what it means in this context.
c) what should the company set as the price per shirt to maximize profit?
d) what is the maximum profit?