The Acme Widget Company has found that if widgets are priced at $287, then 17000 will be sold each month. They have also found that for every increase of $13, there will be 370 fewer widgets sold each month. The cost to produce each widget is $63.14 plus the monthly fixed costs are $2400. Find the price that will maximize profits from the sale of widgets(round to the nearest cent)

$

At this price, what is the maximal monthly profit? (round to the nearest cent)

$

How many widgets must be sold each month to earn the maximum profit? (round to the nearest whole number)