Demand the demand function for a product is modeled by
p = 10,000(1- 3/3+e^-0.001x).
find the price p (in dollars) of the product when the quantity demanded is (a) x = 1000 units and (b) x = 1500units.(c) what is the limit of the price as x increase without bound?

Step-by-step explanation:

Given that demand function for a product is modeled by

where p = price in dollars and

x= units demanded

a) When x=1000, we substitute 1000 for x

i.e. price is 1092.32 dollars

b) X = 1500

i.e. price is 692.28 dollars

c) When x increases without bound exponent with negative power becomes 0 making price = 10000(1-3/3) =0

answer:

your answer is: c. 196 7/8 in^3.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."