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:
<em>29 minutes more</em>
Step-by-step explanation:
Let m represent minutes
changing the statement to algebra, since the second company charges a different rate at night and weekend we have the equation below;
$19.99 + $0.35m > $29.99
Subtract 19.99 from both sides to isolate m and we have;
$19.99 -$19.99 + $0.35 > $29.99 - $19.99
= $0,35m > $10.00
Divide both side by 0.35 to obtain the value of m;
>
= m > 28.57
<em>m ⩾ 29 minutes</em>
<em>The second company's will be twenty nine minutes or more costlier than the first company</em>