A small firm has 220 squares of felt, 530 ounces of stuffing, and 90 feet of trim to make two types of toys The bear requires 1 square of (a) What is the corresponding dual problem? felt and 3 ounces of stuffing. The monkey requires 2 squares of felt, 4 ounces of stuffing, and 1 foot of trim. The profit is $1 profit on each bear and $1.6 on each monkey. The problem to maximize profit and the final simplex tableau are below. Complete parts (a) through (c). Minimize w = 220y, + 530y, + 90ys subject to Maximize Z=x, + 1.6x2 2y, + 4y, + ya2 16 y, 20. y, 20 ya20 subject to 2x, s220 X, + 3x, + 4x, 5 530 X2 5 90 x, 20, x, 20 (b) What is the optimal solution to the dual problem? -2 1 0 90 1 25 1 -1.5 05 15 -05 0 04 02 0 194 65 (c) Use the shadow values to estimate the profit the firm will make if its supply of felt increases to 230 squares The new profit is S
A small firm has 220 squares of felt, 530 ounces of stuffing, and 90 feet of trim to make two types of toys The bear requires 1 square of (a) What is the corresponding dual problem? felt and 3 ounces of stuffing. The monkey requires 2 squares of felt, 4 ounces of stuffing, and 1 foot of trim. The profit is $1 profit on each bear and $1.6 on each monkey. The problem to maximize profit and the final simplex tableau are below. Complete parts (a) through (c). Minimize w = 220y, + 530y, + 90ys subject to Maximize Z=x, + 1.6x2 2y, + 4y, + ya2 16 y, 20. y, 20 ya20 subject to 2x, s220 X, + 3x, + 4x, 5 530 X2 5 90 x, 20, x, 20 (b) What is the optimal solution to the dual problem? -2 1 0 90 1 25 1 -1.5 05 15 -05 0 04 02 0 194 65 (c) Use the shadow values to estimate the profit the firm will make if its supply of felt increases to 230 squares The new profit is S
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A small firm has 220 squares of felt, 530 ounces of stuffing, and 90 feet of trim to make two types of toys. The bear requires 1 square of (a) What is the corresponding dual problem?
felt and 3 ounces of stuffing. The monkey requires 2 squares of felt, 4 ounces of stuffing, and 1 foot of trim. The profit is $1 profit on
each bear and $1.6 on each monkey. The problem to maximize profit and the final simplex tableau are below. Complete parts (a)
through (c).
Minimize
w = 220y, +530y2 + 90y3
subject to
Y1+3y2
2 1
Maximize
Z=x, +1.6x2
subject to
2y,+4y2 + Y3
21.6
X1 +
3x, +
2x, s220
1
4x2 $530
Y120, y2 2 0, y3 2 0
X2 $90
Xq 20, x2 20
(b) What is the optimal solution to the dual problem?
W3=
|- 2
1
90
-1.5 0.5
1
25
1
1.5 -0.5 0
65
0.4 0.2
194
y3
(c) Use the shadow values to estimate the profit the firm will make if its supply of felt increases to 230 squares.
The new profit is S
||
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