Question

At a certain factory, the total cost of manufacturing q units during the daily production run is C(q) = q^2 + q + 900 dollars. On a typical workday, q(t) = 25t units are manufactured during the first t hours of a production run. (a) Express the total manufacturing cost as a function of t. C(t) = (b) How much will have been spent on production by the end of the fourth hour? $ (c) When will the total manufacturing cost reach $6000? After

          At a certain factory, the total cost of manufacturing q units during the daily production run is C(q) = q^2 + q + 900 dollars. On a typical workday, q(t) = 25t units are manufactured during the first t hours of a production run.
(a) Express the total manufacturing cost as a function of t.
C(t) = 
(b) How much will have been spent on production by the end of the fourth hour?
$
(c) When will the total manufacturing cost reach $6000?
After

At a certain factory, the total cost of manufacturing q units during the daily production run is C(q) = q^2 + q + 900 dollars. On a typical workday, q(t) = 25t units are manufactured during the first t hours of a production run.
(a) Express the total manufacturing cost as a function of t.
C(t) =
(b) How much will have been spent on production by the end of the fourth hour?
(c) When will the total manufacturing cost reach6000?
After

Added by Julie K.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

09/03/2023

Step 1

Given: \[ C(q) = q^2 + q + 900 \] \[ q(t) = 25t \] Substitute $ q(t) $ into $ C(q) $: \[ C(t) = (25t)^2 + 25t + 900 \] Show more…

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At a certain factory, the total cost of manufacturing q units during the daily production run is C(q) = q^2 + q + 900 dollars. On a typical workday, q(t) = 25t units are manufactured during the first t hours of a production run. (a) Express the total manufacturing cost as a function of t. C(t) = (b) How much will have been spent on production by the end of the fourth hour? $ (c) When will the total manufacturing cost reach $6000? After