Sketch the region of solutions of the following systems of inequalities:2? + 3? ≤ 12−? + 2? < 4? ≥ 0? ≥ 0

e1s2kat26

e1s2kat26

Answered question

2021-07-31

4.(a) Sketch the region of solutions of the following systems of inequalities:
2?+3?12
?+2?<4
?0
?0
b. List the coordinates of all of the corner points:
c Which corner point would maximize the equation ?=5?+3??

Answer & Explanation

Laaibah Pitt

Laaibah Pitt

Skilled2021-08-01Added 98 answers

Step 1
Inequalities
Step 2
2x+3y12
x+2y<4
x0
y0
x06440
x04420
image
Intersection pt: 2x+3y=12
2x+4y=8
7y=20
y=207
x=127
b) Comer points: (127,207),(6,0),(0,2),(0,0)
c) z=5x+3y
A(6,0),z=30 (Max)
B(0,2),z=6
C(0,0),z=0
D(127,207)mz=1207

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