Answer:
1). 
2). (-435.36) dollars per week
Step-by-step explanation:
Weekly price decay of the product is represented by the function,
P(x) = 
And the price of the product changes over the period of 't' weeks is represented by,
x(t) = 
Function representing the rate of change in the profit with respect to the time will be represented by,
1). P'(t) = 
Since, P(x) = 
P'(x) = 
= 
Since, x(t) = 53 + 0.95t²
x'(t) = 1.9t

By substituting x = 53 + 0.95t²

P'(t) = 
2). For t = 7 weeks,
P'(7) = 
= 
= (-63175)(0.006891)
= (-435.356) dollars per week
≈ (-435.36) dollars per week