Solve the Following Problem Graphically

Solve the following problem graphically: $$\begin{array} { l l } \operatorname { Min } & \mathrm { P } _ { 1 } \left( \mathrm {~d} _ { 1 } ^ { + } \right) + \mathrm { P } _ { 2 } \left( \mathrm {~d} _ { 2 } ^ { - } \right) \\& \\\text {s.t. } & 3 \mathrm { x } _ { 1 } + 5 \mathrm { x } _ { 2 } \leq 45 \\& 3 \mathrm { x } _ { 1 } + 2 \mathrm { x } _ { 2 } - \mathrm { d } _ { 1 } ^ { + } + \mathrm { d } _ { 1 } ^ { - } = 24 \\& \mathrm { x } _ { 1 } + \mathrm { x } _ { 2 } - \mathrm { d } _ { 2 } ^ { + } + \mathrm { d } _ { 2 } ^ { - } = 10 \\& \mathrm { x } _ { 1 } , \mathrm { x } _ { 2 } , \mathrm {~d} _ { 1 } ^ { - } , \mathrm { d } _ { 1 } ^ { + } , \mathrm { d } _ { 2 } ^ { - } , \mathrm { d } _ { 2 } ^ { + } \geq 0\end{array}$$

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