Consider a product manufacturing company that makes products A and B. The company uses electricity and diesel as energy sources. For the production of A, 1 unit (not kWh) of electricity and 3 units of diesel are required and for B, 1 unit of electricity and 2 units of diesel are required. The company's captive power plant supplies 5 units of electricity and 12 units of diesel.

Product

Electricity required (units)

Diesel required (units)

A

1

3

B

1

2

On the sale of A and B, the company makes a profit of Rs 60 and 50 respectively. Which of the following is representing the objective function subject to the constraints? Take x units of A and y be the units of B being sold. 

1

Max Z = 60x + 50y, x + y ≤ 5, 3x + 2y ≤ 12

2

Max Z = 50x + 60y, x + y ≤ 5, 3x + 2y ≤ 12

3

Min Z = 60x + 50y, x + 2y ≤ 5, 3x + y ≤ 12

4

More than one of the above.

5
None of the above

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