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A company makes two products x and y using two machines a and b each unit of x that is produced requires 50 minutes processing time on machine a and 30 minutes processing time on machine b each?
Wiki User
∙ 11y ago
Solution
Let
• x be the number of units of X produced in the current week
• y be the number of units of Y produced in the current week
then the constraints are:
• 50x + 24y <= 40(60) machine A time
• 30x + 33y <= 35(60) machine B time
• x >= 75 - 30
• i.e. x >= 45 so production of X >= demand (75) - initial stock (30), which ensures we meet demand
• y >= 95 - 90
• i.e. y >= 5 so production of Y >= demand (95) - initial stock (90), which ensures we meet demand
The objective is: maximise (x+30-75) + (y+90-95) = (x+y-50) i.e. to maximise the number of units left in stock at the end of the week
Solving simultaneously, rather than by reading values off the graph, we have that x=45 and y=6.25 with the value of the objective function being 1.25
Wiki User
∙ 11y ago
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