Sunday. Suppose that the production department wants to meet its daily requirements using only full-time employees. Formulate an LP that the production department can use to minimize the number of full time employees who must be hired Sunday. Suppose that the production department wants to meet its daily requirements using only full-time employees. Formulate an LP that the production department can use to minimize the number of full time employees who must be hired. Formulate an LP that the production department can use to minimize the total cost instead of the number of employees. (Let ci: the cost of workers who start work on day i) Suppose that the production department can meet its daily requirements using both full-time and part-time employees (one day at a time). Let pi: the cost of a part-time worker on day i, solve part a. Suppose that the number of workers needed on day i is di. Let wi be the actual number of workers on day i. Formulate an LP where the “cost” of having too many workers on day i is fi (wi – di). Suppose that the production department wants to minimize the maximum of the surpluses on each day (max (w1 – d1, w2 – d2,…, w7 – d7)). Formulate an LP. Suppose that the production department wants to ensure that at least 30% of the workers have Sunday off. Formulate a constraint for this case.
Sunday. Suppose that the production department wants to meet its daily requirements using only
full-time employees. Formulate an LP that the production department can use to minimize the
number of full time employees who must be hired Sunday. Suppose that the production department wants to meet its daily requirements using only
full-time employees. Formulate an LP that the production department can use to minimize the
number of full time employees who must be hired.
Formulate an LP that the production department can use to minimize the total cost instead of
the number of employees. (Let ci: the cost of workers who start work on day i)
Suppose that the production department can meet its daily requirements using both full-time
and part-time employees (one day at a time). Let pi: the cost of a part-time worker on day i,
solve part a.
Suppose that the number of workers needed on day i is di. Let wi be the actual number of
workers on day i. Formulate an LP where the “cost” of having too many workers on day i is fi
(wi – di).
Suppose that the production department wants to minimize the maximum of the surpluses on
each day (max (w1 – d1, w2 – d2,…, w7 – d7)). Formulate an LP.
Suppose that the production department wants to ensure that at least 30% of the workers have
Sunday off. Formulate a constraint for this case.
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