File tree Expand file tree Collapse file tree 1 file changed +31
-0
lines changed
Expand file tree Collapse file tree 1 file changed +31
-0
lines changed Original file line number Diff line number Diff line change @@ -575,13 +575,17 @@ A study on resource usage showed the possibility of producing two products: **P1
575575- ** P1 yields a profit of 120 monetary units per unit**
576576- ** P2 yields a profit of 150 monetary units per unit**
577577
578+ <br >
579+
578580The production department provided the following ** resource usage** table:
579581
580582| Product | R1/unit | R2/unit | R3/unit |
581583| ---------| ---------| ---------| ---------|
582584| ** P1** | 2 | 3 | 5 |
583585| ** P2** | 4 | 0 | 3 |
584586
587+ <br >
588+
585589And the ** monthly resource availability** :
586590
587591| Resource | Monthly Availability |
@@ -590,6 +594,33 @@ And the **monthly resource availability**:
590594| ** R2** | 90 |
591595| ** R3** | 120 |
592596
597+ <br >
598+
599+ ---
600+
601+ ### 🎯 Objective:
602+
603+ ### *** Mathematically model the ** Linear Programming (LP)** problem to ** maximize profit** under resource constraints*** .
604+
605+ ---
606+
607+ ### 🧠 Step-by-Step Modeling
608+
609+ ### 1. 🧮 Decision Variables
610+
611+ - Let:
612+
613+ x₁ = quantity produced of product P1
614+
615+ x₂ = quantity produced of product P2
616+
617+ Or in LaTeX (for use in documents):
618+
619+
620+
621+
622+
623+
593624
594625
595626
You can’t perform that action at this time.
0 commit comments