Please help me with my operation research homework$()$ HW #$2$

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$($lecture $4)($problem $3\mathrm{.}1-6,111^{th}$ edition$)$ Consider the problem in the first homework. Maximize $Z=10x_1+20x_2$

subject to $,-x_1+2x_{2}15$

$x_1+x_{2}12$

$5x_1+3x_{2}45$

$x_{1}0,x_{2}0.$

$($a$)$ Please use the simplex method to solve the problem. What are its optimal solution and its corresponding objective value? Are they the same as those in HW $1($a$)?$

$($b$)$ Please state the geometric interpretation of the problem $($a$).($lecture $5)$ Consider the sensitivity report of a linear programming problem by using Excel solver.

Adjustable Cells

$\backslash$table$[[$Cell$,$Name,$\backslash$table$[[$Final$],[$Value$]],\backslash$table$[[$Reduced$],[$Cost$]],\backslash$table$[[$Objective$],[$Coefficient$]],\backslash$table$[[$Allowable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]],],[$$ $ $$6,$Solution Activity $1,,3,0,30,23,17],[$$ $$,$Solution Activity $2,6,0,40,50,10,],[$$ $ $$6,$Solution Activity $3,,0,-7,20,7,1E+30$