Please do the following

: Formulate the LP in algebraic form.

Solve the LP and provide the solution.

Use the sensitivity analysis report and interpret the shadow prices and reduced costs for this problem.

Problem 1 (2.5 pts): HyperDrive Production Scheduling Problem You are the chief production officer for GalactiTech Industries, the leading manufacturer of HyperDrives in the Sirius Star System. The upcoming colonization event on a newly discovered planet, "Exoterra," has ramped up the demand for your HyperDrives over the next six months. Due to space-time regulations, you can choose to either produce HyperDrives during regular hours, authorize overtime production, or outsource production to a specialized facility in the Procyon System. Furthermore, excess HyperDrives can be stored for future demands, but due to the delicacy of the drives, there is a holding cost. Demand over the next six months (in HyperDrives): Costs: - Regular production cost: 100 Credits/Drive - Overtime production cost: 150 Credits/Drive - Outsourcing cost: 180 Credits/Drive - Holdover inventory cost: 20 Credits/Drive/Month Production Capacity: - Regular hours: 500 Drives/Month - Overtime: 200 Drives/Month - Outsourcing: No limit. Please do the following: - Formulate the LP in algebraic form. - Solve the LP and provide the solution. - Use the sensitivity analysis report and interpret the shadow prices and reduced costs for this