Q. 105.0( 1 Vote )

# An automobi

Let number of automobiles produces be x and let the number of trucks

Produced be y.

Let Z be the profit function to be maximized.

Z = 2000x + 30000y

The constraints are on the man hours worked

Shop A 2x + 5y ≤ 180 (i) assembly

Shop B 3x + 3y ≤ 135 (ii) finishing

x, y ≥ 0

Corner points can ve obtained from

2x = 3y + 5y = 180 x = 0; y = 36 and x = 90; y = 0

3x + 3y ≤ 135 x = 0; y = 45 and x = 45; y = 0

Solving (i) and (ii) gives x = 15 and y = 30

Thus 0 automobiles and 36 trucks give max. profit of Rs 10, 80, 000/ -

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