Acompany estimates that the total revenue, r, in dollars, received from the sale of items is r= ln(1+1000q^2). calculate and interpret the marginal revenue if q=10

The marginal revenue at q = 10 is 0.02, and it means that: an increase in quantity by 10 units will result in an output of 0.02

The revenue function is given as:

Differentiate, to calculate the marginal revenue function

When q = 10, we have:

Evaluate the denominator

Simplify

Simplify the denominator

Hence, the marginal revenue at q = 10 is 0.02, and it means that: an increase in quantity by 10 units will result in an output of 0.02

Read more about marginal revenue at:

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darn right!

step-by-step explanation:

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answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.