P= 16x -5y +66, subject to 7x +9y ≤ 63, 0 ≤ y ≤ 4, and 0 ≤ x ≤
5.
The maxium value _____ occurs when x= _____ and y= ______.
The minimun value ____ occurs where x= ____ and y=____.
f(x,y) = 2/7(2x + 5y) for 0 < x < 1, 0 < y < 1
given X is the number of students who get an A on test 1
given Y is the number of students who get an A on test 2
find the probability that more then 90% students got an A test 2
given that 85 % got an A on test 1
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.
7-31 Consider the following LP problem:
Maximize profit=5X+6Y
subject to2X+Y≤120, 2X+3Y≤240X,Y≥0
What is the optimal solution to this problem? Solve it
graphically.
If a technical breakthrough occurred that raised the profit per
unit of X to $8, would this affect the optimal
solution?
Instead of an increase in the profit coefficient X to
$8, suppose that profit was overestimated and should only have been
$3. Does this change the optimal solution?
7-32 Consider the LP formulation given in Problem 7-31....