FORMULATE THE LP

Problem 1 (2.5 pts): Starlight Ventures Capital Allocation Problem In the vast reaches of the Andromeda Nebula, on the thriving planet of Caelum, the investment powerbouse Starlight Ventures seeks to maximize the potential of their substantial capital. With a horizon of 6 years, the goal is to wisely allocate their starting funds to a curated list of intergalactic projects, ensuring that the capialal declicated to each venture remains invested for its entire duration. Starlight Ventures begins with a capital pool of 1,000,000 credits. Below are the projects and opportunities available for investment: End the 6-year period with the maximum cash on hand by making strategic decisions on capital allocation across various investment prospects. Please do the following: - Formulate the L.P in algebraic form. - Solve the LP and provide the solution. - Use the sensitivity analysis and interpret the shadow prices and reduced costs for this