A tailoring shop plans to stitch two garments—shirts and trousers—in the coming week
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
A tailoring shop plans to stitch two garments—shirts and trousers—in the coming week. The following information is available.
• Each shirt requires 1.5 m of cotton fabric and 6 buttons.
• Each trouser requires 2 m of cotton fabric and 4 buttons.
• At most 90 m of fabric and at most 240 buttons are available.
• The selling price is Rs 250 for a shirt and Rs 300 for a trouser.
Answer the questions that follow.
(i) Identify suitable decision variables for the above situation.
(ii) For EACH of the four numerical statements given in the stem, state clearly whether it leads to a constraint inequality or to the objective expression, giving one-sentence justification in each case.
(iii) Explain why non-negativity conditions must be included when formulating this problem for optimisation.