Question

2/3 Find the cost function if the marginal cost function is given by C'(x)=x + 3 and 27 units cost $284. C(x)=0

Answer 1

Given that c'(x) = x 2/3 +3, 27 Unils cost $284 of the Since the marginal cost function is the derivative Cost furichim, the cost function must be integral of marginal Cost fonction 06)+C = 5 c«) dx = S(! 2+3) dx. C(x) + c 2/3+1 X 43+1 + 33 CX) + C = 30 513 Ē +32 Substitute ece284 and 3=27. 284+c= 2. (275%+ 3(27) 284+C =3.6847*+ 34 284 + c = 3,33734 = 3:2+34 = 34 [ + ] 4 - 37 +5 4 ie 1134 5 = 1134 5. 1134-1420 -286 5 5 284 :' Cost function CCW) 2 573 x +3X-C. ड C(x) 513 orlo X +38 +286 5.