Feed to three units is split into three streams: F4,Fs, and Fc. Two products are pro- duced: P, and P2 (see following figure), and the yield in weight percet by unit is Yield (weight %) Unit A Unit B Unitc Pi F .40 40 30 50 P2 60 70 50 Each stream has values in $/lb as follows: Stream P. P2 Value ($/lb) .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. FA Pry A F FB B Fc P2, FIGURE P7.3 In order to determine the values of Fg, F8, and Fc that maximize the daily profit, prepare a mathematical statement of this problem as a linear programming problem. Do not solve it