Chapter 2.6, Problem 4MP

Matched Problem 4 Repeat Example 4 with production increasing from 6,000 to 6,010.

EXAMPLE 4 Cost–Revenue A company manufactures and sells x microprocessors per week. If the weekly cost and revenue equations are

$C(x)=5,000+2xR(x)=10x-\frac{x^2}{1,000}0\le x\le 8,000$

then use differentials to approximate the changes in revenue and profit if production is increased from 2,000 to 2,010 units per week.