A square tank of capacity 250 `m^3` has to be dug out. The cost of land is Rs. 50 per `m^2`. The cost of digging increases with the depth and the whole tank is Rs. `400 times(depth)^2`.
Find the expression for the cost of digging the tank.

A square tank of capacity 250 m^3 has to be dug out. The cost of land is Rs. 50 per m^2 . The cost of digging increases with the depth and for the whole tank it is Rs. 400 times(depth)^2 . Find the dimension of the tank when the total cost is least.

The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs.60.The cost of 2 kg onion,4 kg wheat and 6 kg rice is Rs. 90. The cost of 6 kg onion,2 kg wheat and 3 kg rice is Rs.70. Find the cost of each item per kg by matrix method.

The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs. 60 . The cost of 2 kg onion, 4 kg wheat and 6kg rice is Rs. 90 . The cost of 6 kg onion, 2 kg wheat and 3 kg ricę is Rs. 70 . Find cost of each item per kg by matrix method.

A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2 m and volume is 8m^3 . If the building of tank costs Rs. 70//sq metres for the base and Rs. 45//_"square" metres. For sides, what is the cost of least expensive tank?

If a young man rides his motor cycle at 25 k . p . h , he has to spend Rs. 2 per km on petrol, if he rides it at ạ faster speed of 40k.p.h. , the petrol cost increases to Rs. 5 per k m . He has Rs. 100 to spend on petrol and wishes to find what is the maximum distance, he can travel within the hour. Express this as a linear programming problem and then solve it.