Pierce manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is r(x)equals0.006 x cubed plus 0.02 x squared plus 0.5 x. currently, pierce sells 50 lawn chairs daily. a) what is the current daily revenue? b) how much would revenue increase if 54 lawn chairs were sold each day? c) what is the marginal revenue when 50 lawn chairs are sold daily? d) use the answer from part (c) to estimate r(51), r(52), and r(53).

a) $825

b) $205.10

c) $47.5

d) R(51) = 872.5, R(52) = 920, R(53) = 967.5

Step-by-step explanation:

We are given the following information in the question:

where x is the number of lawn chairs.

a) Current daily revenue

Thus, $825 is the current daily revenue when Pierce sells 50 lawn chairs daily.

b) Revenue increase if 54 lawn chairs were sold each day

Thus, revenue increase $205.10 if 54 lawn chairs were sold each day.

c) Marginal revenue

Thus, $47.5 is the marginal revenue when 50 lawn chairs are sold daily.

d) R(51), R(52), and R(53)

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)