Hansen Controls Has Been Awarded a Contract for a Large

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\begin{array} { l l } ext { Let } & P _ { i j } = ext { the number of panels shipped from source } i ext { to destination } j \ & B _ { i } = 1 ext { if plant } i ext { is built } = 0 ext { otherwise } ( i = 3,4,5 ) \ ext { Min } \quad & 350000 B _ { 3 } + 200000 B _ { 4 } + 480000 B _ { 5 } + 5 P _ { 11 } + 7 P _ { 12 } + 8 P _ { 13 } + 10 P _ { 21 } + 8 P _ { 22 } + 6 P _ { 23 } \ & + 9 P _ { 31 } + 4 P _ { 32 } + 3 P _ { 33 } + 12 P _ { 41 } + 6 P _ { 42 } + 2 P _ { 43 } + 4 P _ { 51 } + 10 P _ { 52 } + 11 P _ { 53 } \ ext { s.t. } & P _ { 11 } + P _ { 12 } + P _ { 13 } \leq 2500 \ & P _ { 21 } + P _ { 22 } + P _ { 23 } \leq 2500 \ & P _ { 31 } + P _ { 32 } + P _ { 33 } \leq 10000 B _ { 3 } \ & P _ { 41 } + P _ { 42 } + P _ { 43 } \leq 10000 B _ { 4 } \ & P _ { 51 } + P _ { 52 } + P _ { 53 } \leq 10000 B _ { 5 } \ & P _ { 11 } + P _ { 21 } + P _ { 31 } + P _ { 41 } + P _ { 51 } = 3000 \ & P _ { 12 } + P _ { 22 } + P _ { 32 } + P _ { 42 } + P _ { 52 } = 8000 \ & P _ { 13 } + P _ { 23 } + P _ { 33 } + P _ { 43 } + P _ { 53 } = 9000 \end{array}

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