A manufacturer of lemon slicers calculates its profit as a function of the price charged for the product. the company's profit, p, can be modeled by the function p(x)= -0.05(x-10)(x-50) where, x represents the price charged for the product and p(x) represents the amount of profit. on what interval will the manufacturer experience an increase of profit?
A) 10 < x < 50
B) 10 < x < 30
C) 0 < x < 30
D) 30 < x < 50