Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"
Since,
6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x =
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
Answer:
A. at (8,7) the maximum value is 98
Step-by-step explanation:
First draw the region, that is bounded by all
inequalities. This is the triangle with vertices
(6,1), (2,5) and (8,7).
Now you can see where the line f(x,y)=7x+6y
intersect this region. The maximum value will be
at endpoints of this region:
• at (6,1), f(6,1)=7-6+6-1=42+6=48;
·
at (2,5), f(2,5)=7·2+6.5=14+30=44;
• at (8,7), f(8,7)=7.8+6-7=56+42=98.
Thus, the maximum value of the function is 98 at
the point (8,7).
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