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Formulate but Do Not Solve the Following Exercise as a Linear

Question 5

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Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit?


A) Maximize: Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit? A) Maximize: Subject to: B) Maximize: Subject to: C) Maximize: Subject to: D) Maximize: Subject to: Subject to: Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit? A) Maximize: Subject to: B) Maximize: Subject to: C) Maximize: Subject to: D) Maximize: Subject to:
B) Maximize: Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit? A) Maximize: Subject to: B) Maximize: Subject to: C) Maximize: Subject to: D) Maximize: Subject to: Subject to: Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit? A) Maximize: Subject to: B) Maximize: Subject to: C) Maximize: Subject to: D) Maximize: Subject to:
C) Maximize: Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit? A) Maximize: Subject to: B) Maximize: Subject to: C) Maximize: Subject to: D) Maximize: Subject to: Subject to: Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit? A) Maximize: Subject to: B) Maximize: Subject to: C) Maximize: Subject to: D) Maximize: Subject to:
D) Maximize: Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit? A) Maximize: Subject to: B) Maximize: Subject to: C) Maximize: Subject to: D) Maximize: Subject to: Subject to: Formulate but do not solve the following exercise as a linear programming problem. A farmer has 140 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $80/acre. The farmer has a maximum of $5,700 available for land cultivation. Each acre of crop A requires 30 labor-hours, and each acre of crop B requires 35 labor-hours. The farmer has a maximum of 4,800 labor-hours available. If she expects to make a profit of $130/acre on crop A and $230/acre on crop B, how many acres of each crop should she plant in order to maximize her profit? A) Maximize: Subject to: B) Maximize: Subject to: C) Maximize: Subject to: D) Maximize: Subject to:

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