Refer to the feasible region S shown in Figure 3.

(A) Let P = x + y. Graph the constant-profit lines through the points (5, 5) and (10, 10). Place a straightedge along the line with the smaller profit and slide it in the direction of increasing profit, without changing its slope. What is the maximum value of P? Where does this maximum value occur?

(B) Repeat part (A) for P = x + 10y.

(C) Repeat part (A) for P = 10x + y.

Transcribed Image Text:

Figure 3 20 15 10 5 (0,0) (0, 20) S .(5,5) (15, 15) (10, 10) 5 10 15 20 (24, 0) +X 25