If the price is increasing at a rate of 2 dollars per month when the price is 10 dollars, find the rate of change of the demand.

The demand reduces by $7.12 per month

Step-by-step explanation:

Given

Required

Determine the rate of change of demand

We have:

Differentiate with respect to time

Collect like terms

Factorize

Solve for dx/dt

Given that: and

Solve for x

Equate to 0

Using a quadratic calculator, we have:

Demand must be greater than 0;

So:

So, we have: ;

The rate of change of demand is:

This implies that the demand reduces by $7.12 per month

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.