Question

An electronics company's profit

P(x, y)

from making x DVD players and y CD players per day is given below.

P(x, y) = 4x² − 3xy + 3y² + 150x + 73y + 220

(a)

Find the marginal profit function for DVD players.

P_x(x, y) =

(b)

Evaluate your answer to part (a) at

x = 200

and

y = 300.

Interpret the result.

option 1: The profit increases per additional DVD player when 200 DVD and 300 CD players are produced each day.

option 2: The profit decreases per additional DVD player when 200 DVD and 300 CD players are produced each day.

option 3: The profit increases per additional DVD player when 300 DVD and 200 CD players are produced each day.The profit decreases per additional DVD player when 300 DVD and 200 CD players are produced each day.

option 4: The profit remains constant when 200 DVD and 300 CD players are produced each day.

(c)

Find the marginal profit function for CD players.

P_y(x, y) =

(d)

Evaluate your answer to part (c) at

x = 200

and

y = 100.

Interpret the result.

option 1: The profit increases per additional CD player when 200 DVD and 100 CD players are produced each day.

option 2: The profit decreases per additional CD player when 200 DVD and 100 CD players are produced each day.

option 3: The profit increases per additional CD player when 100 DVD and 200 CD players are produced each day.

option 4: The profit decreases per additional CD player when 100 DVD and 200 CD players are produced each day.

option 5: The profit remains constant when 200 DVD and 100 CD players are produced each day.

Answer 1