The organising committee of a school fair wishes to prepare two kinds of gift…
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
The organising committee of a school fair wishes to prepare two kinds of gift hampers: Type A and Type B.
• Preparing one hamper of Type A needs 3 craft sheets and 2 ribbons.
• Preparing one hamper of Type B needs 2 craft sheets and 4 ribbons.
• Exactly 180 craft sheets and not more than 240 ribbons are available.
• The expected profit is Rs 40 on one Type A hamper and Rs 50 on one Type B hamper.
Taking the number of hampers of each type as variables, answer the following.
(i) Define the decision variables.
(ii) Translate every numerical limitation mentioned above into an inequality.
(iii) Write the objective function to be maximised.
(iv) Combine your answers to parts (i)–(iii) and write the complete mathematical model of the problem in standard form.