Question

If TC = 2.5q³ − 13q² + 50_q + 12 derive the MC function and AC function.

Answer 1

Given:

TC= 2.5q³ – 13q² + 50_q + 12

Marginal cost function

MC = `"d(TC)"/"dQ"`

= `"d"/"dq"` [2.5q³ – 13q² + 50q + 12]

2.5 (3q²) – 13 (2q) + 50 (1) + 0

MC = 7.5q – 26q + 50

Average cost AC = `"TC"/"q"`

= `(2.5"q"^3 - 13"q"^2 + 50q+12)/"q"`

= `(2.5"q"^3)/"q"` - `(13"q"^2)/"q"` + `(50"q")/q`+ `12/"q"`