Consider the Raw Material Acquisition case. $($Raw Material Acquisition$)$ For its weekly operations, XYZ receives raw materials from two sources using large tank truck. Each truckload from Eco Petro Ltd contains $2$ tons of Raw Material A and $2$ tons of Raw Material B at a cost of $$20,000.$ Each truckload from Clean NRG contains $1$ ton of Raw Material A and $3$ tons of Raw Material B at a cost of $$15,000.$ XYZ requires at least $8$ tons of Raw Material A and at least $12$ tons of Raw Material B per week. XYZ is to determine how many truckloads should be purchased per week from each source. Formulate and solve a LP that minimizes the XYZ total costs of acquiring the raw materials. The problem is formulated as a LP problem as follows:Min Z $=20,000$X$1+15,000$X$2$Subject to$2$X$1+$ X$282$X$1+3$X$212$X$1,$ X$20$ Your Task$1.$ Describe the feasible region$\mathrm{.}2.$ Select two levels of the objective function$\mathrm{.}3.$ What is the direction that improves the objective function value?$4.$ Find the optimal solution and optimal value

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