linear programming problem (optimization) L = p/h we want to maximize L by minim

ID: 3422614 • Letter: L

Question

linear programming problem (optimization)

L = p/h

we want to maximize L by minimizing h. p will be a constant value.

h is the sum of hours worked by employees.

p is the number of products; which will be given, for example we can say it is 10,000.

workers must work between 3 and 6 hours.

We have 15 workers each with a productivity rank between 1 and 5

a.) what if h = 8,000 and L = 122. How many hours should be allocate to each worker in order to meet the goal of 122?

please provide the decision variables, objection function, and constraints in standard form.

workers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 productivity rank 5 5 5 4 4 4 4 4 4 3 3 3 2 2 1

if h =8000

then its not possible to solve problem.

Because h<= 15*6 =90

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