Linear programming problem: HELP PLEASE!!
The production-line employees at GE work four days a week, 10 hours a day. Each day of the
week, (at least) the following numbers of line employees are needed: Monday–Friday, 7 employees; Saturday and Sunday, 3 employees. GE has 11 production-line employees. Formulate an LP that can be used to maximize the number of consecutive days off received by the employees.
For example, a worker who gets Sunday, Monday, and Wednesday off receives two consecutive days off.

Question

Linear programming problem: HELP PLEASE!!
The production-line employees at GE work four days a week, 10 hours a day. Each day of the
week, (at least) the following numbers of line employees are needed: Monday–Friday, 7 employees; Saturday and Sunday, 3 employees. GE has 11 production-line employees. Formulate an LP that can be used to maximize the number of consecutive days off received by the employees.
For example, a worker who gets Sunday, Monday, and Wednesday off receives two consecutive days off.

anonymous · Answer

My decision variables are the number of employees taking a set of days off Xijk like x123: number of people taking monday, tuesday and wednesday off...etc..