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Allen is in a business of making chairs, tables, and desks. He sells each chair for $140, table for $145, and desk for $120. Each
Allen is in a business of making chairs, tables, and desks. He sells each chair for $140, table for $145, and desk for $120. Each chair, table, and desk consumes 10, 12 and 15 square feet of lumber; 1.5, 2, and 2.5 hours of labor; and finally 4, 6, and 7 pounds of screws, respectively. He needs to deliver at most 800 chairs, at most 800 tables, and at least 460 desks. He has a total of 13,500 square feet of lumber, 2,200 hours of labor, and 5,000 pounds of screws. He asks another furniture maker Mike to help him produce and deliver some of his order. Mike has unlimited surplus resources that can deliver any and all parts of Allen's order. Mike charges Allen $100, $110, and $125 for each chair, table, and desk. Allen delivers all the chairs, tables, and desks to their limits. What is the objective function? 140c+145t+120d++sub(40c,0)+sub(35t,0)-5sub(d,0) 140bracket(c+sub(c,0))+145bracket(t+sub(t,0))+120bracket(d+sub(d,0)) 140c+145t+120d+100sub(c,0)+110sub(t,0)+125sub(d,0) 140c+145t+120d
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