A specialty chemicals facility manufactures two products A and B

A specialty chemicals facility manufactures two products A and B in barrels. Products A and B utilize thy same raw material; A uses 120 kg/bbl, while B requires 100 kg/bbl. There is an upper limit on the raw material supply of 9000 kg/day. Another constraint is warehouse storage space (40 m2 total; both A and B require 0.5 m2/bbl). In addition, production time is limited to 7 h per day. A and B can be produced at 20 bbl/h and 10 bb/h, respectively. If the profit per bbl is $10 fox A and $14 for B, find the production levels that maximize profit.

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