linear programming problem optimization L ph we want to max

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.

Solution

if h =8000

then its not possible to solve problem.

Because h<= 15*6 =90