### Multiple Choice QuestionPlease select one of the following options:- ○ Crew 6- ○ Crew 3- ○ Crew 7- ○ Crew 4- ○ Crew 8#### Instructions:Click on the circle next to the crew you wish to select. Once you have made your choice, proceed to submit your answer for evaluation. The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs while making sure that each building is cleaned. The management science department formulated the following linear programming model to help with the selection process.**Objective Function:**Minimize \( 200x_1 + 250x_2 + 225x_3 + 190x_4 + 215x_5 + 245x_6 + 235x_7 + 220x_8 \)**Subject to:**- \( x_1 + x_2 + x_5 + x_7 \geq 1 \) {Building A constraint}- \( x_1 + x_2 + x_3 \geq 1 \) {Building B constraint}- \( x_6 + x_8 \geq 1 \) {Building C constraint}- \( x_1 + x_4 + x_7 \geq 1 \) {Building D constraint}- \( x_2 + x_7 \geq 1 \) {Building E constraint}- \( x_3 + x_8 \geq 1 \) {Building F constraint}- \( x_2 + x_5 + x_7 \geq 1 \) {Building G constraint}- \( x_1 + x_4 + x_6 \geq 1 \) {Building H constraint}- \( x_1 + x_6 + x_8 \geq 1 \) {Building I constraint}- \( x_1 + x_2 + x_7 \geq 1 \) {Building J constraint}Where:\( x_j = \begin{cases} 1, & \text{if crew } j \text{ is selected} \\ 0, & \text{otherwise} \end{cases} \)**Question:**Without solving the Binary Integer Programming (BIP) model, which crew could be scheduled to clean Buildings B and F?**Analysis:**- For Building B: Crews \( x_1 \), \( x_2 \), and \( x_3 \) are possible.- For Building F: Crews \( x

Linear programming is a mathematical technique that is also used in operations management departments. This technique is commonly used to find the best outcome with the maximum profit. Linear programming has various methods; each method is chosen by the companies as per their requirements or based on different factors.Formulas:- Outcome:- Solver parameters steps:- After filling in the data, we will solve the problem as per the below-mentioned steps. Go to the solver option. A solver parameter box will appear. Fill in the objective function by clicking on the cell that represents the same. Choose the objective for the given options. (max- maximize, min- minimize) Then fill the cells that will change the variables. Now select the constraints. Check the box for making unconstrained variables non-negative. Select the solving method. Lastly, click on the solve. Similar (shown below) solver result box will appear. Click ok for the result. Check the spreadsheet. The optimal solution will automatically be filled in the cells. Final outcome:- For building B x1, x2, x3 are the variables. Among these x1 is getting 1 value. For building F x3, x8 are the variables. Among these x8 is getting 1 value.Crew 1 will be assigned to clean building B. Crew 8 will be assigned to clean building F.