Suppose a company produces a product x. Suppose that for each product sold, the price of the product is given by P=11 - x (that is, the more that is supplied, the lower the price, and vice versa). Suppose also that it costs the company $1 to produce each good. Then, in order to maximize profits, the company must solve:

a) max((11 - X) X) - max(x)

b) max((11 - x) - X)

c) max((11 - x)x) - min(x)

d) max((11 - X)x - x)