Question

5) When the price of a certain commodity is p dollars per unit, customers demand r hundred units of the commodity, where How fast is the demand r changing with respect to time when the price is $6 per unit and decreasing at the rate of 25 cents per month? 1 6) The output at a certain plant is Q-0.09r20.12ry+0.04y2 units per day, where z is the number of hours of skilled labor used and y is the number of hours of unskilled labor used. Currently, 90 hours of skilled labor and 200 hours of unskilled labor are used each day. Estimate the change in unskilled labor that should be made to offset a 1-hour increase in skilled labor so that output will be maintained at its current level. 1

Answer 1

Given χ.43Pメ+p2-99 dt dt d E d t chatn aule dt dt Given p: $uni 6 dp dt .25Nonth Su bstHuten eguaction O dt

2 Nouw 18メ+36-99 Neglect -11,weget χ:3 SubslHute in ezuaction dt18 203 ) +18 2.25十3 6+18