Question

For the given cost function C(x) = 78400 + 200x + x² find: a) The cost at the production level 1800 3678400 b) The average cost at the production level 1800 2043.55 c) The marginal cost at the production level 1800 3800 d) The production level that will minimize the average cost e) The minimal average cost

          For the given cost function
C(x) = 78400 + 200x + x² find:
a) The cost at the production level 1800 3678400
b) The average cost at the production level 1800 2043.55
c) The marginal cost at the production level 1800 3800
d) The production level that will minimize the average cost
e) The minimal average cost

For the given cost function
C(x) = 78400 + 200x + x² find:
a) The cost at the production level 1800 3678400
b) The average cost at the production level 1800 2043.55
c) The marginal cost at the production level 1800 3800
d) The production level that will minimize the average cost
e) The minimal average cost

Added by Andrew O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/18/2023

Step 1

To find the cost at the production level of 1800, we simply substitute x=1800 into the cost function: C(1800) = 78400 + 200(1800) + 1800 C(1800) = 78400 + 360000 + 1800 C(1800) = 439200 Show more…

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For the given cost function C(x) = 78400 + 200x + x² find: a) The cost at the production level 1800 3678400 b) The average cost at the production level 1800 2043.55 c) The marginal cost at the production level 1800 3800 d) The production level that will minimize the average cost e) The minimal average cost