9) A farmer has 650 acres available for crops A, B, C. He has a total of $42,800 forcultivation costs and a maximum of 8600 hours of available labor. For each acre.the cost and labor for cultivation are as follows:CropCostLabor$4010$9015$3015a) Formulate a system of equations to determine how many acres of each crop thefarmer should plant if he wishes to use all the available resources.b) Write the system of equations obtained in part (a) in matrix equation form.c) Solve the matrix equation from part (b)

Given that there are three types of crops A, B and C. and the total land for the crops is 650 acres.…

A farmer has 650 acres available for crops A, B, C. He has a total of $42,800 for cultivation costs and a maximum of 8600 hours of available labor. For each acre. the cost and labor for cultivation are as follows: Crop Cost Labor $40 10 $90 15 $30 15 Formulate a system of equations to determine how many acres of each crop the farmer should plant if he wishes to use all the available resources. Write the system of equations obtained in part (a) in matrix equation form. Solve the matrix equation from part (b)

A farmer has 650 acres available for crops A, B, C. He has a total of $42,800 for cultivation costs and a maximum of 8600 hours of available labor. For each acre. the cost and labor for cultivation are as follows: Crop Cost Labor $40 10 $90 15 $30 15 Formulate a system of equations to determine how many acres of each crop the farmer should plant if he wishes to use all the available resources. Write the system of equations obtained in part (a) in matrix equation form. Solve the matrix equation from part (b)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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9) A farmer has 650 acres available for crops A, B, C. He has a total of $42,800 for
cultivation costs and a maximum of 8600 hours of available labor. For each acre.
the cost and labor for cultivation are as follows:
Crop
Cost
Labor
$40
10
$90
15
$30
15
a) Formulate a system of equations to determine how many acres of each crop the
farmer should plant if he wishes to use all the available resources.
b) Write the system of equations obtained in part (a) in matrix equation form.
c) Solve the matrix equation from part (b)

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