Writing and Objective Function and Linear Constraints: The owner of…
Question Writing and Objective Function and Linear Constraints: The owner of… Writing and Objective Function and Linear Constraints: The owner of a chain of amusement parks has to make some decisions. Suppose there is a start-up cost of operating an amusement park for the day. If amusement park 1 is operated, then there is a fixed start-up cost of A!. Similarly, for amusement parks 2 and 3 there are fixed start-up costs A”, A#, respectively. To model this, we introduce binary variables !, “, # that should represent whether amusement park 1, 2, and 3 respectively, are being operated.Write linear-constraints that enforce that if the start-up costs are not paid, then the amusement park cannot operate. That is, if ! is 0, then ! is also 0. Otherwise, if ! is 1, then ! can take any value.Write a new objective function that incorporates the start-up costs.To simplify the employee availability constraint, we want to enforce a constraint so that at most one of the amusement parks 1 and 2 (both large amusement parks) can operate during the entire day. Write a linear-constraint to enforce this.Write a linear-constraint using only variables !, “, # enforcing that amusement park 1 cannot be the only amusement park operated (in other words, if amusement park 1 is used, then at least one of amusement parks 2 and 3 must also be operated). Math Statistics and Probability Share QuestionEmailCopy link Comments (0)


