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Maximize p = 2x + 7y + 5z subject to x + y + z ≤...
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In:
Advanced Math
Maximize p = 2x + 7y + 5z subject to x + y + z ≤...
Maximize
p
= 2
x
+ 7
y
+ 5
z
subject to
x
+
y
+
z
≤
150
x
+
y
+
z
≥
100
x
≥ 0,
y
≥ 0,
z
≥ 0.
P= ? (x, y, z)= ?
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T:R ->R3 T(x, y, z) = (2x + 5y − 3z, 4x + y − 5z, x − 2y − z) (a) Find the matrix representing this transformation with respect to the standard basis. (b) Find the kernel of T, and a basis for it. (c) Find the range of T, and a basis for it.
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Maximize p = 13x + 8y subject to x + y ≤ 25 x ≥ 10...
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