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the total cost (in dollars) to produce q units of a good is given by th…

Question

the total cost (in dollars) to produce q units of a good is given by the function: c(q) = 5.5q + 43000 what is the total cost to produce q = 1900 units? cost = $ question help: video

Explanation:

Step1: Substitute \( q = 1900 \) into \( C(q) \)

We have the cost function \( C(q)=5.5q + 43000 \). Substitute \( q = 1900 \) into this function: \( C(1900)=5.5\times1900 + 43000 \)

Step2: Calculate \( 5.5\times1900 \)

First, calculate \( 5.5\times1900 \). \( 5.5\times1900=(5 + 0.5)\times1900=5\times1900+0.5\times1900 = 9500+950=10450 \)

Step3: Add 43000 to the result

Now, add 43000 to 10450: \( 10450+43000 = 53450 \)

Answer:

\( 53450 \)