The corner points for the bounded feasible region determined by the system of inequalities: 5x + 2y < 40 x + 3y < 21 x, y > 0 are o = (0, 0), a = (0, 7), b = (6, 5) and c = (8, 0). find the optimal solution for the objective profit function: maximize p = 10x + 5y.

Step-by-step explanation:

Given

5x+2y<40

x+3y<21

These two lines intersect at (6,5)

we have to maximize 10x+5y

Four corner points are

(0,0)10(0)+5(0)=0

(0,7)10(0)+5(7)=35

(6,5)10(6)+5(5)=85

(8,0)10(8)+5(0)=80

At x=6 and y=5 optimal solution is obtained.

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.