Question

Imagine that there are four hundred and fifty nine managers in a hotel. If the number of managers is enlarged by 36, the expenses of the food increased by Rs. eighty one per day while the average spending per head decreased by one. Find the original spending of the hotel on food?​

Answer 1

The fixed cost F and Variable cost V .

F + 459V = x

The total number of managers = 459 + 36 = 495

The new cost equation will be

F + 495V = x + 81

Let the original cost of plate be y.

y = x/459

, x = 459y

The new average is y -1

(x+81)/495 = y - 1,

x + 81 = 495y - 495

81 + 495 = 495y - x

Substituting the value of x = 459y, we get y = 16

Hence, x = 459y

= 459 × 16

= 7344.

The answer is 7344