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 x, the daily hours of overtime used. The LP model is then given as Max z= 10x + 12x - 2x subject to Xi + 2x - X) s 320 3x + X2 s350 Xs 10 X1, Xạ, Xạ 2 0. (Labor hours) (Raw material) (Overtime) a) Determine the optimal solution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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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 x, the daily hours of overtime used. The LP model is
then given as
2.
Max z = 10x1 + 12x2 - 2xs
subject to
X1 + 2x2 - Xạ 5 320
3x1 + X2
(Labor hours)
(Raw material)
(Overtime)
s 350
Xs 10
X1, X2, Xạ 2 0.
a) Determine the optimal solution.
Transcribed Image Text: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 x, the daily hours of overtime used. The LP model is then given as 2. Max z = 10x1 + 12x2 - 2xs subject to X1 + 2x2 - Xạ 5 320 3x1 + X2 (Labor hours) (Raw material) (Overtime) s 350 Xs 10 X1, X2, Xạ 2 0. a) Determine the optimal solution.
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