bread(B) with raw wheat (W). The production functions are: Cereal: C = 28WC – 1.5WC2 Bread: B = 65WB - 2WB2 Constraint: WC + WB = 4144 Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 4,144 units of rav wheat available How much wheat should go to the cereal (Wc)?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter9: Applications Of Cost Theory
Section: Chapter Questions
Problem 2.4CE
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A food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat
bread(B) with raw wheat (W). The production functions are:
Cereal: C = 28WC - 1.5Wc
Bread: B = 65WB - 2WB2
Constraint: WC + WB = 4144
Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 4,144 units of raw
wheat available. How much wheat should go to the cereal (WC)?
Transcribed Image Text:A food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat bread(B) with raw wheat (W). The production functions are: Cereal: C = 28WC - 1.5Wc Bread: B = 65WB - 2WB2 Constraint: WC + WB = 4144 Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 4,144 units of raw wheat available. How much wheat should go to the cereal (WC)?
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