10 May A Furniture Manufacturer Produces Three Products, Desks, Tables, And Chairs. These Products Can Be Produced …
A furniture manufacturer produces three products, desks, tables, and chairs. These products can be produced during either the morning shift or the evening shift. The morning shift has a labor cost of $20 per hour with a maximum availability of 20,000 hours. The evening shift has a labor cost of $25 per hour and is limited to 15,000 hours. The labor, lumber, and demand requirements are given as follows:
resource Desk Table Chair
Labor (hours) 0.75 2 0.5
Lumber (pounds) 7 15 4
Nails (pounds) 0.5 2 0.25
Demand: 50 75 100
Assume that there are 20,000 pounds of lumber and 20,000 pounds of nails for both shifts
Formulate this problem to minimize total labor cost
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