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...


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

Extracted text: 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)

Jun 04, 2022
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