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 = 30WC – 1.5WC2                 Bread:                   B = 63WB – 2WB2                 Constraint:          WC + WB = 9,820   Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread.  There are 9,820 units of raw wheat available.   How much wheat should go to the cereal (WC)?  Enter as a value.  ROUND TO THE NEAREST WHOLE NUMBER.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.5P
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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 = 30WC – 1.5WC2
                Bread:                   B = 63WB – 2WB2
                Constraint:          WC + WB = 9,820
 
Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread.  There are 9,820 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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