# 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+60ySubject to : 8x+10y$\leq$800 (labour laws)x+y $\leq$120 (total units demanded)4x+5y$\leq$500(raw materials)All variables $\geq 0$The optimal solution is x=100, y=0How 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

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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