Indahkiat has a daily budget of 320 hours of labor and 350 units of raw material manufacture two products. If necessary, the company can employ up to 10 hours da of overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor hour a 3 units of raw material to produce one unit of product 1, and 2 labor hours and 1 u of raw material to produce 1 unit of product 2. The profit per unit of product 1 is RM and that of product 2 is RM12. Let x, and x define the daily number of units produc of product 1 and product 2, and x, the daily hours of overtime used. The LP mode then given as Max z= 10x + 12 - 2x
Indahkiat has a daily budget of 320 hours of labor and 350 units of raw material manufacture two products. If necessary, the company can employ up to 10 hours da of overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor hour a 3 units of raw material to produce one unit of product 1, and 2 labor hours and 1 u of raw material to produce 1 unit of product 2. The profit per unit of product 1 is RM and that of product 2 is RM12. Let x, and x define the daily number of units produc of product 1 and product 2, and x, the daily hours of overtime used. The LP mode then given as Max z= 10x + 12 - 2x
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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IndahKiat has a daily budget of 320 hours of labor and 350 units of raw material to
manufacture two products. If necessary, the company can employ up to 10 hours daily
of overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor hour and
3 units of raw material to produce one unit of product 1, and 2 labor hours and 1 unit
of raw material to produce 1 unit of product 2. The profit per unit of product 1 is RM10,
and that of product 2 is RM12. Let x, and x2 define the daily number of units produced
of product 1 and product 2, and xa the daily hours of overtime used. The LP model is
then given as
Max z = 10x1 + 12x2 - 2x
subject to
X1 + 2x2 - X)s 320
3x1 + Xa
(Labor hours)
(Raw material)
(Overtime)
s 350
Xs 10
X1, X2, Xạ 2 0.
a) Determine the optimal solution.
b) Identify the optimal inverse matrix.
c) Determine the dual prices and the applicability range of their associated
resources.
d) What is the least profit per unit IndahKiat can make from product 1 without
changing the current production schedule?
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