Suppose a nonlinear price discriminating monopolist faces an inverse demand curve: Upper P equals 120 minus Upper Q, and can set three prices depending on the quantity a consumer purchases. The firm's profit is: pi equals p 1 Upper Q 1 plus p 2 (Upper Q 2 minus Upper Q 1 )plus p 3 (Upper Q 3 minus Upper Q 2 )minus m Upper Q 3, where p 1 is the high price charged on the first units Upper Q 1 (first block) and p 2 is a lower price charged on the next (Upper Q 2 minus Upper Q 1 )units and p 3 is the lowest price charged on the (Upper Q 3 minus Upper Q 2 )remaining units. Upper Q 3 is the total number of units actually purchased, and m = $50 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for p 1, p 2, and p 3, and the firm's profits.

answer90,000;

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.