Question Feed to three units is split into three streams: F4,FB, and Fc. Two products are pro- duced: P, and P2 (see following figure), and the yield in weight percent by unit is Yield (weight %) Unit A Unit B Unit C P 40 30 50 P2 60 70 50 Each stream has values in $/lb as follows: Stream F P, P2 Value (SIL) .40 .60 .30 Because of capacity limitations, certain constraints exist in the stream flows: 1. The total input feed must not exceed 10,000 lb/day. 2. The feed to each of the units A, B, and C must not exceed 5000 lb/day. 3. No more than 4000 lb/day of P, can be used, and no more than $7000 lb/day of P, can be used. Pr, А F FB B Fc с P2 FIGURE P7.3 In order to determine the values of FFs, and Fc that maximize the daily profit, prepare a mathematical statement of this problem as a linear programming problem. Do not solve it.

WG2ZN6 The Asker · Electrical Engineering

Transcribed Image Text: Feed to three units is split into three streams: F4,FB, and Fc. Two products are pro- duced: P, and P2 (see following figure), and the yield in weight percent by unit is Yield (weight %) Unit A Unit B Unit C P 40 30 50 P2 60 70 50 Each stream has values in $/lb as follows: Stream F P, P2 Value (SIL) .40 .60 .30 Because of capacity limitations, certain constraints exist in the stream flows: 1. The total input feed must not exceed 10,000 lb/day. 2. The feed to each of the units A, B, and C must not exceed 5000 lb/day. 3. No more than 4000 lb/day of P, can be used, and no more than $7000 lb/day of P, can be used. Pr, А F FB B Fc с P2 FIGURE P7.3 In order to determine the values of FFs, and Fc that maximize the daily profit, prepare a mathematical statement of this problem as a linear programming problem. Do not solve it.
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Transcribed Image Text: Feed to three units is split into three streams: F4,FB, and Fc. Two products are pro- duced: P, and P2 (see following figure), and the yield in weight percent by unit is Yield (weight %) Unit A Unit B Unit C P 40 30 50 P2 60 70 50 Each stream has values in $/lb as follows: Stream F P, P2 Value (SIL) .40 .60 .30 Because of capacity limitations, certain constraints exist in the stream flows: 1. The total input feed must not exceed 10,000 lb/day. 2. The feed to each of the units A, B, and C must not exceed 5000 lb/day. 3. No more than 4000 lb/day of P, can be used, and no more than $7000 lb/day of P, can be used. Pr, А F FB B Fc с P2 FIGURE P7.3 In order to determine the values of FFs, and Fc that maximize the daily profit, prepare a mathematical statement of this problem as a linear programming problem. Do not solve it.
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solif Given data:-the feed F, to three units (A,B and C) is split in to Hree streamsF_(A),F_(B), and F_(C)two producls are produced is.Let our vanables be F_(A),FB,F_(C)we need to maximize profit so our objective:'" Poofit "=0.6P_(1)+0.3P_(2)-0.4P_(F)function ismaximizeis the fotal inpot fecd must not Exceed 10,00kg//dy is{:[",os "kg//dy" is "],[F <= 10","000(kg//dag)larr1^("st ")" conhraint "],[:.F_(Delta)+F_(B)+F_(C) <= 10","000]:}(A) The feed to esch of the units A,B and C most not eaceed 5,000kg lduy isF_(A) <= 5000,F_(B) <= 5000,F_(C) <= 5000constraint(11) P_(1) <= 4000quad&amp;P_(2) <= 7000Now,F is consated to p_(1)kp_(2) in each unit isunt A:-y_(1) ild of P_(1)=40%=>(P_(1))/(F_(A))=0 ... See the full answer