The Acme Widget Company has found that if widgets are priced at $ 373, then 47000 will be sold. They have also found that for every increase of $ 14, there will be 800 fewer widgets sold. The marginal cost of widgets is $ 186.5. The fixed costs for the Acme Widget Company are $ 36000. If z represents the price of a widget find the following in terms of 2: The number of widgets that will be sold: The revenue generated by the sale of widgets: The cost of producing just enough widgets to meet demand: The profit from selling widgets: Find the price that will maximize profits from the sale of widgets: