A firm has the following total and cost functions, respectively.

and

where is the number of unites produced and sold (in thousands). How many unites should be produced to maximise the profit?

The demand function and total cost function of a commodity are given by the equations and  where and are the price and quantity, respectively. Determine the quantity that must be produced and sold at breaks even.

The demand function and cost function of a commodity are given by the equations 

and

where and are the price and quantity, respectively. The total revenue function in terms of is

A monopolist has a demand function and costs given by and Find the loss profits points.

Bongi supplies trays of fresh sandwiches to offices daily. Her daily fixed cost amount to , while her variable cost is per tray. Bongi's total cost and marginal cost functions (interms of the number of trays supplied, ) are given by

Find the values of for which the function

has a minimum or maximum value.

If the total revenue is given by

What is the marginal revenue when

?

If the total cost is given by

What is the marginal cost when

The demand function of a firm is

where and represent the quantity and price respectively. At what price is revenue a maximum?