Problem 1 CLM Inc. faces the following data on cost, demand and resource require

Question

Problem 1 CLM Inc. faces the following data on cost, demand and resource requirements:
Max. Demand
per month Contribution per unit Assembly time per bike (hours) Special Steel required per unit (pounds) Inspection, packing and shipping time per bike (hours)
Mountain bikes 3,500 $120.00 1.00 2.0 0.5
Flat land bikes 2,000 $80.00 0.50 1.5 0.25
Hybrid bikes 1,000 $250.00 2.5 5.0 2.2
They have a total of 5,000 hours assembly time, and 9,000 hours of inspection, packing, and shipping time available per month. 4,000 pounds of special steel are available in a month. Formulate a linear programming model of this production planning problem so as to maximize the total contribution per month

Explanation / Answer

Objective function: 120x+80y+250z x is mountain bikes, y is flatland bikes and hybrid bikes is z constraint equations maximum demand 0

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