Total revenue and profit: This is a continuation . The total revenue R for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a...

Total revenue and profit: This is a continuation . The total revenue R for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total revenue, we need to know the selling price per unit of the item. To find the total revenue, we multiply this selling price by the number of items produced. The profit P for a manufacturer is the total revenue minus the total cost. If this number is positive, then the manufacturerturns a profit, whereas if this number is negative, then the manufacturer has a loss. If the profit is zero, then the manufacturer is at a break-even point. Suppose the manufacturer of widgets in sells the widgets for $25 each.

a. Use a formula to express this manufacturer’s total revenue R in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.

b. Use a formula to express the profitP of this manufacturer as a function of the number of widgets produced in a month. Be sure to state the units you use.

c. Express using functional notation the profit of this manufacturer if there are 250 widgets produced in a month, and then calculate that value.

d. At the production level of 250 widgets per month, does the manufacturer turn a profit or have a loss? What about the production level of 1000 widgets per month?