1. For the given price-demand function, p(x)=-0.5x+50

a) Find equation of revenue functions R(x)

b) Find Average rate of change of the revenue function R(x) on the interval [40,60]

2. Find the Average rate of change of the function over the given interval given by two points on the graph.

f(x)=log₂ (x) (2,1) ,(8,3)

 

3.For the given price-demand function, p(x)=-0.2x+60 

a) Find equation of revenue functions R(x)

B) Find Average rate of change of the revenue function R(x) on the interval [20,40]

c) Select the correct business interpretation:

When level of production increases from 20 to 40 units, average rate of change of Revenue does not change

When level of production increases from 20 to 40 units, average rate of change of Revenue decreases at the rate (answer from part 2.) per unit

When level of production increases from 20 to 40 units, average rate of change of Revenue increases at the rate (answer from part 2.) per unit

4. For the given price-demand function, p(x)=-0.5x+50

a)Find equation of revenue functions R(x)

b) Find Average rate of change of the revenue function R(x) on the interval [20,50]

c). Select the correct business interpretation:

When level of production increases from 20 to 50 units, average rate of change of Revenue increases at the rate (answer from part 2.) per unit

When level of production increases from 20 to 50 units, average rate of change of Revenue does not change

When level of production increases from 20 to 50 units, average rate of change of Revenue decreases at the rate (answer from part 2.) per unit

5. For the given price-demand function, p(x)=-0.5x+50

a)Find equation of revenue functions R(x)

b) Find Average rate of change of the revenue function R(x) on the interval [60,80]

c)Select the correct business interpretation:

When level of production increases from 60 to 80 units, average rate of change of Revenue decreases at the rate (answer from part 2.) per unit

When level of production increases from 60 to 80 units, average rate of change of Revenue does not change

When level of production increases from 60 to 80 units, average rate of change of Revenue increases at the rate (answer from part 2.) per unit

6. For the given price-demand function, p(x)=-0.2x+60

a)Find equation of revenue functions R(x)

b)Find Average rate of change of the revenue function R(x) on the interval [100,200]

c) Select the correct business interpretation:

When level of production increases from 20 to 40 units, average rate of change of Revenue does not change

When level of production increases from 20 to 40 units, average rate of change of Revenue decreases at the rate (answer from part 2.) per unit

When level of production increases from 20 to 40 units, average rate of change of Revenue increases at the rate (answer from part 2.) per unit

7. Find the Average rate of change of the function over the given interval given by two points on the graph.

f(x)=log₄ (x) (1,0) ,(16,2)