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Arales and manulacturint prgancaton cunerby ofen 1 prosucts The unit proha for each predud and hied cost of selup alio appear in the summary table If Be produa in fied produces. pota it doesch inger the tiped selup cost. Lei xin intrger productes gumaties of proside 1 Oofectiver Manumide Prifit a 3 x1 (1) Subyet the the following cestrants: A sales and manufacturing organization currently offers 3 products. Each product requires resources from Departments A through C as summarized below which have maximum capacities as summarized below. The unit profits for each product and foxed cost of setup also appear in the summary lable. If the product is not produced, then it doesn't incur the fixed selup cost. However, if it is produced, then the fixed setup cost applies AND the production quantities are limited to the maximums in the table. Complete the mixed integer-binary formulation. Do not insert extra spaces, commas, or symbols. (Partial credit proportional to % correct.) Let Xi= Integer production quantities of product i. Let Y1= Binary variable for product i, where: 1 represents production, 0 represents no production Objective: Maximize Profit =[A]X1+[B]X2+[C]X3[D]Y1[E]Y2[F]Y3 Subject the the following costraints: [G]X1+[H]X2+[IX3[1][J]X1+[K]X2+[L]X3[2][M]X1+[N]X2+[P]X3[3][Q]X1[4]Y1[R]X2[5]Y2[S]X3[6]Y3CapacityACapacityBCapacityCMaxQTYProduct1MaxQTYProduct2MaxQTYProduct3