A furniture trader deals in tables and chairs. He has Rs. 75,000 to invest and a space to store at most 60 items. A table costs him Rs. 1,500 and a chair costs him Rs. 1,000. The trader earns a profit of Rs. 400 and Rs. 250 on a table and chair, respectively. Assuming that he can sell all the items that he can buy, which of the following is/are true for the above problem:
(A) Let the trader buy \( x \) tables and \( y \) chairs. Let \( Z \) denote the total profit. Thus, the mathematical formulation of the given problem is:
\[ Z = 400x + 250y, \]
subject to constraints:
\[ x + y \leq 60, \quad 3x + 2y \leq 150, \quad x \geq 0, \quad y \geq 0. \]
(B) The corner points of the feasible region are (0, 0), (50, 0), (30, 30), and (0, 60).
(C) Maximum profit is Rs. 19,500 when trader purchases 60 chairs only.
(D) Maximum profit is Rs. 20,000 when trader purchases 50 tables only.
Choose the correct answer from the options given below:
Directions: Read the following passage and answer the questions given below:
A contract is an agreement enforceable at law, made between two or more persons, by which rights are acquired by one or more to acts or forbearances on the part of the other or others. A contract is an agreement creating and defining obligations between the parties. The Indian Contract Act, 1872 lays down general principles relating to formation and enforceability of contracts; rules governing the provisions of an agreement and offer; the various types of contracts including those of indemnity and guarantee, bailment and pledge and agency. It also contains provisions pertaining to breach of a contract. The Indian Contract Act has defined ”Contract” in Section 2(h) as ”an agreement enforceable by law”. This definition indicates that a contract essentially consists of two distinct parts. First, there must be an agreement. Secondly, such an agreement must be enforceable by law. An agreement gives birth to a contract. As per Section 2(e) of the Indian Contract Act, every promise and every set of promises, forming the consideration for each other, is an agreement. Agreements relating to social matters in which the idea of bargain is absentand there is no intention to create legal relations are not contracts. To form a valid contract there must be: an agreement based on the
genuine consent of the parties, supported by a lawful consideration made for a lawful object, and between the competent parties. One
of the early steps in the formation of a contract lies in arriving at an agreement between the contracting parties by means of an offer and acceptance. When one party (the offeror) makes a definite proposal to another party (the offeree) and the offeree accepts it in its entirety and without any qualification, there is a meeting of the minds of the parties and a contract comes into being, assuming that all other elements are also present.
Agreements relating to social matters are _______ .
Directions: Read the following passage and answer the questions given below:
A contract is an agreement enforceable at law, made between two or more persons, by which rights are acquired by one or more to acts or forbearances on the part of the other or others. A contract is an agreement creating and defining obligations between the parties. The Indian Contract Act, 1872 lays down general principles relating to formation and enforceability of contracts; rules governing the provisions of an agreement and offer; the various types of contracts including those of indemnity and guarantee, bailment and pledge and agency. It also contains provisions pertaining to breach of a contract. The Indian Contract Act has defined ”Contract” in Section 2(h) as ”an agreement enforceable by law”. This definition indicates that a contract essentially consists of two distinct parts. First, there must be an agreement. Secondly, such an agreement must be enforceable by law. An agreement gives birth to a contract. As per Section 2(e) of the Indian Contract Act, every promise and every set of promises, forming the consideration for each other, is an agreement. Agreements relating to social matters in which the idea of bargain is absentand there is no intention to create legal relations are not contracts. To form a valid contract there must be: an agreement based on the
genuine consent of the parties, supported by a lawful consideration made for a lawful object, and between the competent parties. One
of the early steps in the formation of a contract lies in arriving at an agreement between the contracting parties by means of an offer and acceptance. When one party (the offeror) makes a definite proposal to another party (the offeree) and the offeree accepts it in its entirety and without any qualification, there is a meeting of the minds of the parties and a contract comes into being, assuming that all other elements are also present.
Every promise and every set of promises, forming the consideration for each other is _______ .