Question

x items are produced by amanufacturing unit and C is their total cost. The rate of change of total cost with respect to x is 2x+5. if the fixed cost is rs. 300, find the cost of producing 25 items

Answer 1

Dear Student,

Number of items produced = x
Total Cost = C
Fixed cost = Rs 300
$$\begin{gathered} \frac{dC}{dx}=2x+5 \\ Marginal\cos tforx=25items \\ \Rightarrow {\left[\frac{dC}{dx}\right]}_{x=25}=2\left(25\right)+5=50+5=Rs55 \\ Total\cos t=300+55=Rs355 \end{gathered}$$
Thus, total cost of producing 25 items is Rs 355.
Regards,