Demand function Qd = 6 – 0.5P. At what volume will the monopolist’s revenue be maximized?

To find out at what volume of goods the revenue will be the highest, you need to substitute these values instead of Qd and find the price per unit of production.

1) Qd = 1 = 6 – 0.5P.

0.5P = 5.

P = 10 – with a volume of 1 unit. revenue = 10 (10 x 1).

2) Qd = 2 = 6 – 0.5P.

0.5P = 4.

P = 8 – with a volume of 2 units. revenue = 16 (8 x 2).

3) Qd = 3 = 6 – 0.5P.

0.5P = 3.

P = 6 – with a volume of 3 units. revenue = 18 (6 x 3).

4) Qd = 4 = 6 – 0.5P.

0.5P = 2.

P = 4 – with a volume of 4 units. revenue = 16 (4 x 4).

5) Qd = 5 = 6 – 0.5P.

0.5P = 1.

P = 2 – with a volume of 5 units. revenue = 10 (5 x 2).

Answer: the largest revenue with a volume of 3 units.



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