Answer:
The rate of change of weekly demand is -1/6.
Step-by-step explanation:
It is given that the quantity demanded weekly of the Super Titan radial tires is related to its unit price by the equation
where p is measured in dollars and x is measured in units of a thousand.
We need to find the rate of change in weekly demand, when x=6, p=288 and .
Subtract p from both sides.
Differential with respect to t.
Divide both sides by 2x.
Substitute x=6 and in the above equation.
Rate of change in weekly demand is 0 (approximate to the nearest tire). It dose not make any sense.
Therefore, the rate of change of weekly demand is -1/6.