Two models of a product  - Regular (x) and Delux (y) are produced by a company. A linear programming model is used to determine the production schedule. The formulation is as follows:

Maximize profit :50x+60y

Subject to : 8x+10y\leq800 (labour laws)

x+y \leq120 (total units demanded)

4x+5y\leq500(raw materials)

All variables \geq 0

The optimal solution is x=100, y=0

How many units of the labour hours must be used to produce this number of units?

  • Option 1)

    400

  • Option 2)

    200

  • Option 3)

    500

  • Option 4)

    None of the above

 

Answers (1)

As we learnt in

Corner Point Method -

This method of solving a LPP graphically is based on the principle of extreme points theorem.

-

 

 z=50x+60y

8x+10y\leq 800

x+y\leq 120

4x+5y\leq 500

at x=100, y=0 

\Rightarrow    800 units of the labour hours.

 


Option 1)

400

Incorrect

Option 2)

200

Incorrect

Option 3)

500

Incorrect

Option 4)

None of the above

correct

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