Question

The total cost associated with provision of free mid-day meals to x students of a school in primary classes is given by C(x) = 0.005x3 - 0.02x2 + 30x + 50. If the marginal cost is given by rate of change dc/dx of total cost, write the marginal cost of food for 300 students.

Answer 1

We have C(x) = 0.005x3 - 0.02x2 + 30x + 50

C'(x) = 0.015x2 - 0.04x + 30 + 0

C'(300) = 0.015(300)2 - 0.04(300) + 30

= 1,368

So the marginal cost of food for 300 student is Rs 1,368.