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: Bread: Constraint: C = 31Wc 1.5Wc² B = 66WB - 2WB² Wc + WB = 9,055 - Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 9,055 units of raw wheat available. How much wheat should go to the cereal (WC)? Enter as a value.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter2: Fundamental Economic Concepts
Section: Chapter Questions
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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:
Bread:
Constraint:
C = 31Wc - 1.5Wc²
B = 66WB2WB²
Wc + WB = 9,055
Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread.
There are 9,055 units of raw wheat available.
How much wheat should go to the cereal (Wc)? Enter as a value.
ROUND TO THE NEAREST WHOLE NUMBER.
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: Bread: Constraint: C = 31Wc - 1.5Wc² B = 66WB2WB² Wc + WB = 9,055 Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 9,055 units of raw wheat available. How much wheat should go to the cereal (Wc)? Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.
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