A manufacturing company makes two types of television sets; one is black and white and the other is colour. The company has resources to make at most 300 sets a week. It takes Rs. 1800 to make a black and white set and Rs. 2700 to make a coloured set. The company can spend not more than Rs. 6,48,000 a week to make television sets. It makes a profit of Rs. 510 per black and white set and Rs. 675 per coloured set. Assuming x and y respectively are the number of black and white, and coloured sets made each week, answer the questions:
The objective function (z) to maximize the profit is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → z = 510x + 675y
The profit is Rs. 510 on each of the x black and white sets and Rs. 675 on each of the y coloured sets. The objective function is the total weekly profit:
\(z = 510x + 675y\)
NCERT Exemplar:
Linear Programming
