linear equations questions:

(1) Consider the set A = ((r, y) ( R' : ly)

(1) con A is open, closed, bounded minimum? If the a i y s, End the extreme points (2) con (3) suppo eamonopo iffe:ent products, whos i f et profit (that is, : e vvnue minus cost) as a function of th s ide the set raw the set A, its b compact and/or it attain a s Ide : the following system ) Prove that the a d int ud determine w You must argue YOU: Determine if this function y these qu x 22 = 0 bles y, diffr:entiable functions d tin a neighbourhood of the p i t ( (b) Let y(r, t) be the function existence has been proved in part (a) Write the of the plue tangent to the graph Of y at the nt "(x ly three d pt = 45 = 29 pa = 21 where qi, q,2Y the q uantities demanded and p. ands by the following are their respective function is C(Q) = 20+5Q4Q2 with Q = (a) Write the function 0 n amounts demanded n (b) com u Is of dem p te the leve these that you haw obtained are a global i e wethe: the p:oht function is concave o: convex maximize the profit of the maximum of the fun tion that Justify that (5) co side ons e: en th fu ti (a) Find the values of a,beRf (b) Find the values of a,beRf n : the f w which the function which the function o o ing ma i ati p able function f has extreme points h Tuck that determi oi ts that satisfy the K maximum on A and with a,beR 6x4y249in the set A = (a) Justify that the (b) Compute the p n n attain a maxima minima) on the set A Write the extreme points of f at which points does it attain a equa o Determine at which points