A bakery spends Rs. 35 to make a cake and sells it for Rs. 50. It spends Rs. 60 to make a box of pastries and sells it for Rs. 80. If it makes and sells x cakes and y boxes of pastries in a day, the objective function for maximising its profit is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(Z = 15x + 20y\)
The profit on one item is its selling price minus its cost.
Cake: \(50 - 35 = 15\)
Box of pastries: \(80 - 60 = 20\)
So x cakes and y boxes give a profit of
\(Z = 15x + 20y\)
Why the other options are incorrect
Option (2) \(Z = 50x + 80y\) — Incorrect. This is the money received from sales, not the profit.
Option (3) \(Z = 35x + 60y\) — Incorrect. This is the cost of making the items.
Option (4) \(Z = 20x + 15y\) — Incorrect. The two profits are swapped: x counts cakes, which give Rs. 15 each.