Programming Please find guide in other pic to solve Q8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Linear Programming
Please find guide in other pic to solve Q8
Transcribed Image Text:.
Ex. 4.8.4: klaiter
and Hotels
A
for waiters
each
hotel has the following requirements
shown in the table below. klated
report to the hotel rooms at the beginning of
period and work for eight Consecutive hours.
for
periods. The hotel wants to determine the minimum
number of coaiters, so that there may be sufficiend
waiters for each period. Formulate the LP".
Problem.
The
Same
waiter Cannot work
two Consecou
Period
-83466
2
Clock Time (24h/d)
Fam
11 am
llam-3pm
3pm-7pm
tpm -
·11pm
3am
11pm
3am - 7pm
-
waiters required
65
875
265
55
025
35
Soln: Spse X₁, X2, X3, X4, X5 and X6 represent
the number of waiters reporting at the beginning
of periods 1, 2, 3, 4, 5, 6, respectively.
X
6
Objective: Minimizing
Exi = x₁ + x₂ + x3 + x4 + Xs+X6
220
тоте
Since the same water cannot work for
than two consecutive periods Xe waiters work
for the period 1 and 2, X₂ waiters work for the
period 2 and 3, etc.
Bud
for the period 1, the minimum
required is 65, etc
Constraints:
of
X6 + X₁65 x₁ + x₂ 275,
X₂ + X3 > 65, X3 +X4 7 55
X4 +X5 2 25, X5 +X6 2 35
waters
Transcribed Image Text:8. Solve each of the following linear programming problems:
Min 3x1 + 5x2
subject to
Max 311 +212
a).
1 ≥ 0, x₂ ≥ 0
2x1 + x₂ ≥ 4;
b).
subject to 2x₁ - x₂ = 2;
11 +21₂ ≤ 8;
I1 ≥ 0, 1₂ 20
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