10 POINTS PLEASE ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2 answers:
Answer:
The maximum is at point 5,0
Step-by-step explanation:
These graphs are set up so that one of the intersection points is going to give you either a maximum or a minimum.
The first thing you have to do is graph the 4 constraints. I use a graphing program like desmos.
Put your 4 equations in from top to bottom. The quadrillateral defined by the intersect points I have labeled and 0,0 define the area that contains the intersect points of the 4 graphs.
Now take the intersect points and show the calculations for C
C = 6x - 4y
Point (0,0)
C = 6*0 - 4*0
C = 0
Point (0,3)
C = 6(0) - 4*3
C = - 12
Point (1.5,3.5)
C = 6*(1.5) - 4*(3.5)
C = 9 - 14
C = - 5
Point (5,0)
C = 6*(5) - 4*(0)
C = 30
The maximum is produced from point 5,0
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Answer:
<u>Step-by-step explanation:</u>
Perimeter is the sum of the sides.
The length of AB is 3. The length of AC is 6. The length of BC can be found by using the Pythagorean Theorem: a² + b² = c²
3² + 6² = BC²
9 + 36 = BC²
45 = BC²
√45 = BC
3√5 = BC
Perimeter = AB + AC + BC
= 3 + 6 + 3√5
= 9 + 3√5