Posted by shansen1@pacbell.net (66.126.109.104) on August 24, 2003 at 20:49:16:
In Reply to: Algebra 2 posted by on August 24, 2003 at 14:24:32:
Net profit = 8*D + 6*W
Constraint 1 equation
4*D + 2*W <= 60
Constraint 2 equation
2*D + 4*W <= 48
Solution of these constraint equations equals the 'region of possibility' defined by three vertices, the first vertex being the extreme case of making all windows and no doors (W intercept of the second constraint equation) which is 12 windows for a profit of $72. The second vertex is the solution of the constraint equations without the < symbol, namely 6 windows and 12 doors, for a profit of $132. Vertex three is the extreme case of making all doors and no windows (the D intercept of the 1st constraint equation), 15 windows for a profit of $120. Since the profit declines going either direction along the boundary of the possibility region from vertex 2, the maximum profit is therefore $132.