2. 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 xX, and x, define the daily number of units produced of product 1 and product 2, and x, the daily hours of overtime used. The LP model is then given as Max z = 10x; + 12-2 subject to X + 2x -XS 320 S 350 bs 10 (Labor hours) (Raw material) (Overtime)
2. 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 xX, and x, define the daily number of units produced of product 1 and product 2, and x, the daily hours of overtime used. The LP model is then given as Max z = 10x; + 12-2 subject to X + 2x -XS 320 S 350 bs 10 (Labor hours) (Raw material) (Overtime)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Transcribed Image Text:2.
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 x, define the daily number of units produced
of product i and product 2, and xg the daily hours of overtime used. The LP model is
then given as
Max z = 10x, + 12x2 - 2x
subject to
X1 + 2x2 - Xạs 320
3x1 + X2
(Labor hours)
(Raw material)
(Overtime)
s 350
Xs 10
X1, Xa, Xạ 20.
Determine the dual prices and the applicability range of their associated
resources.
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