Question
A builder needs to transport sand and gravel. A truck
can carry 4 tons of sand and 3 tons of gravel. A van can carry 2 tons of sand and 2 tons of gravel. The site needs at least 16 tons of sand and 12 tons of gravel. If the cost per trip for a truck is ₹800 and van is ₹600, minimize the transportation cost.Solution
Each truck carries 4 tons of sand and 3 tons of gravel. Each van carries 2 tons of sand and 2 tons of gravel. The requirement is:
- At least 16 tons of sand: 4x + 2y ≥ 16
- At least 12 tons of gravel: 3x + 2y ≥ 12
- Non-negativity: x ≥ 0, y ≥ 0
So y = 4 works ⇒ Point: (2, 4) Try x = 0: Sand: 4×0 + 2y ≥ 16 ⇒ y ≥ 8 Gravel: 3×0 + 2y ≥ 12 ⇒ y ≥ 6 y = 8 satisfies ⇒ Point: (0, 8) Calculate cost at feasible points
- At (4, 0): C = 800×4 + 600×0 = ₹3200
- At (2, 4): C = 800×2 + 600×4 = ₹4000
- At (0, 8): C = 800×0 + 600×8 = ₹4800
As per theBharatiya Nyaya Sanhita, what is the punishment for dishonestly or fraudulently concealing or removing property?
How often must the District Consumer Protection Council hold meetings, according to the relevant provisions?
Who comprises the Central Consumer Protection Council, and what is its primary role according to the Consumer Protection Act ?
A merger occurred between two companies which are engaged at different stages in the production process. Which kind of Merger is being talked about?
What is the nature of an award made by a Lok Adalat?
In arbitral proceedings involving more than one arbitrator, how is a decision made unless the parties agree otherwise?
As per Bharatiya Sakshaya Adhiniyam what constitutes evidence?
Under what circumstances can a court issue a precept to another court regarding the attachment of a judgment-debtor's property?
What is the standard provision for the number of conciliators in a conciliation proceeding, and how should they act if there is more than one?
The Supreme Court Legal Services Committee, as per the Central Authority’s mandate, is constituted with the following composition and purpose:
Relevant for Exams:
