Question 3 (10 points) Select the correct optimal solution for the problem above C} X =50;Y = 0; Profit = 500; () X =25;Y = 30; Profit = 450; () X=100;Y = 0; Profit = 1000; ()X =37.5;Y = 25; Profit = 475; O X =0;Y =100; Profit = 400; A company manufactures Solar Panels and Battery Packs and wants to maximize its profit from the sale of these two products. Each Solar Panel generates a profit of $10, and each Battery Pack generates a profit of $4. The production of these products is limited by the availability of Silicon and Copper Wiring. Each Solar Panel requires 100 grams of Silicon and 40 grams of Copper Wiring, while each Battery Pack requires 50 grams of Silicon and 100 grams of Copper Wiring. The company has a maximum of 5000 grams of Silicon and needs to use at least 4000 grams of the Copper Wiring they have available per week. Additionally, the company must produce at least twice as many Battery Packs as Solar Panels. Your task is to formulate an optimization model to determine how many Solar Panels and Battery Packs the company should produce per week to maximize its profit. Recommendation: Before answering the questions below (especially questions 1 through 6), | recommend formulating the model on your own, finding the feasible region, identifying the optimal solution, and obtaining the sensitivity analysis results using Lingo. Then, go and see if any of the options below match your answers. Question 1 (10 points) What is the correct optimization model for the problem above (Mark your selected option at the bottom of the page, not in the table)? = number of Solar Panels Y= number of Battery Packs Question 7 (10 points) What would be the optimal value of the objective function for a hypothetical optimization problem in the following form: Min = F(x,y) St G(x,y)