The Acme Widget Company has found that if widgets are priced at $ 351, then 44000 will be sold. They have also found that for every increase of $ 18, there will be 900 fewer widgets sold.
The marginal cost of widgets is $ 105.3. The fixed costs for the Acme Widget Company are $ 30000.

If represents the price of a widget find the following in terms of :

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:

Question

The Acme Widget Company has found that if widgets are priced at $ 351, then 44000 will be sold. They have also found that for every increase of $ 18, there will be 900 fewer widgets sold. 
The marginal cost of widgets is $ 105.3. The fixed costs for the Acme Widget Company are $ 30000. 

If  represents the price of a widget find the following in terms of : 

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: