Andy C. answered • 12/19/17

Tutor

4.9
(27)
Math/Physics Tutor

X is the loaves of Raisin bread

Y is the loaves of raisin cake

flour: X + Y = 10

sugar: 2X +Y = 12

eggs: 4X + 2Y = 24 --> 2x + y = 12

X+Y = 10 --> y = 10 - x = -x + 10

2x + y = 12 ---> y = -2x + 12

The lines meet at -x + 10 = -2x + 12

-x + 10 + 2x - 12 = 0

x - 2 = 0

x = 2 ---> y = (-2)(2) + 12 = -4 + 12 = 8

The lines meet at (2,8)

The feasibility reason is x>0, y>0

The edge points are (0,10), <--- the y intercept of y =-x+10

(2,8),

(6,0) <-- the x intercept of y = -2x + 12

bounded above by y = -x + 10 and to the right by y = -2x + 12

The revenue function is C(x,y) = 4x + 5y

C(0,10) = 4(0) + 5(10) = 0 + 50 = 50

C(2,8) = 4(2) + 5(8) = 8 + 40 = 48

C(6,0) = 4(6) + 5(0) = 24