The area of a rectangle is 162/3 ft2 . The length is 61/4 . Find the width. Show all work
1 answer:
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Given Equations
- 5x+3y=8--(1)
- 4x+7y=34--(2)
Let it has solution (x,y)
Add both
It will also have same solution (x,y)
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions and
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction
shown in purple, then we can plot the second one
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
