The Manager at Soul Walk Inc

The manager at Soul Walk Inc., a shoe manufacturing company, wants to set a new price (P) for a shoe model to maximize total profit. The demand (D) as a function of price is represented as: D = 1,500 - 2.5P
The total cost (C) as a function of demand is represented as:
C = 3,200 + 3.5D
Which of the following is a model for total profit as a function of price?

A) (1,508.75× price) - (2.5 × price²) - 8,450
B) (3.5 × price²) + 3,200 - (1925.50 × price)
C) (1,250 × price) + (5 × price²) - 8,320
D) [4521 + (4.5 × price) ] × price - 9684.25

Correct Answer:

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