(See Solution) The marginal-cost function for a manufacturer's product is given by (d c)/(d q)=(9)/(10) √q √0.04 q^3/2+4 where c is the total
Question: The marginal-cost function for a manufacturer's product is given by
\[\frac{d c}{d q}=\frac{9}{10} \sqrt{q} \sqrt{0.04 q^{\frac{3}{2}}+4}\]where \(c\) is the total cost in dollars when \(q\) units are produced. Fixed costs are $\$ 360$.
- Determine the marginal cost when 25 units are produced.
- Find the total cost of producing 25 units.
- Use the results of parts (a) and (b) an differentials to approximate the total cost of producing 23 units.
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