Asked by Alcina

the marginal cost function for widgets is
dr/dq= 0.001Q^2+0.01Q+10
total fixed xosts equal $500
part 1= convert the marginal cost function into total cost function.
part 2= determine total costs when Q=100.
Answered by Damon
r = (1/3)(.001)Q^3 + (1/2)(.01)Q^2 + 10 Q + 100
Answered by na
but where did you the "1/2 and 1/3" from?
Answered by Damon
Oh my

Have you done integration of polynomials?

integral x^n dx = 1/(n+1)x^(n+1)

so

integral x^2 dx = (1/3)x^3
Answered by na
no I am trying to teach myself. however would the answer be 3843.33
Answered by Damon
if Q = 100 = 10^2

r = (1/3)10^-3*10^6 or (1/3)(10^3)
+ (1/2)10^-2*10^4 or (1/2)(10^2)
+ 10^1*10^2 = 10^3
+ 10^2

= about 333+ 50 + 1000 + 100
or about 1483 I get

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