Determining the number of acres of corn and wheat to plant:

Let x1 be the number of acres of corn planted and x2 be the number of acres of wheat planted.

Weekly revenue is calculated as follows:

Weekly revenues=weekly revenue from corn+weekly revune from wheat ={(dollars/corn)(corn bushels/acre)+(dollars/wheat bushel)(wheat bushels/acre)} =(3×10)x1+(4×25)x2 =30x1+100x2

The object function obtained from the above calculation is

Maximize z = 30x1+100x2

Considering the constraints,

Constraint 1: Seven acres of land is available.

Constraint 2: 40 hours of labor are available each week.

Constraint 3: At least 30 bushels of corn must be produced

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Chapter 2, Problem 22RP

Chapter 3.1, Problem 2P

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Chapter 3 Solutions

Introduction to mathematical programming

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