Question: Consider a company that assembles computers and computer equipment. She manufactures among others two types of computer servers called Orion and Vega. We define the

Consider a company that assembles computers and computer equipment. She manufactures among others two types of computer servers called Orion and Vega. We define the variables of following decisions: x is the number of Orion servers to be manufactured; y is the number of Vega servers to be manufactured. The following linear optimization model makes it possible to determine the quantities of servers of each type at manufacture to maximize the company's profits from these servers. maximize 160 x + 250 y . . . 3 x + 4y <= 600 (Assembly (hours)) 2 x + 5y <= 550 (Inspection (hours)) 2x + 3y <= 390 (Storage (square feet)) x , y >= 0 (Non negativity) a) Solve the linear program using Lingo. (3 points) Use this report to answer the following questions. b) How many Orion servers do we need to build? (1 point) c) How many Vega servers should we manufacture? (1 point) d) What then is the optimal profit? (1 point)

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