Price change to maximize profit. A business sells n products,
and is considering changing the price of one of the products to
increase its total profits. A business analyst develops a
regression model that (reasonably accurately) predicts the total
profit when the product prices are changed, given by Pˆ = βT x + P
, where the n-vector x denotes the fractional change in the product
prices, xi = (pnew − pi)/pi. Here P is the profit with the
currentiprices,...