If, in a monopoly market, the demand function for a product is

p = 140 − 0.80x
and the revenue function is
R = px,
where x is the number of units sold and p is the price per unit, what price will maximize revenue?
$

how would u multiply it. please be specific

To find the price that maximizes revenue in a monopoly market, we need to determine the price that corresponds to the maximum value of the revenue function.

The revenue function is given by:
R = px

Substituting the demand function into the revenue function, we have:
R = (140 - 0.80x) * x

Expanding the equation, we get:
R = 140x - 0.80x^2

To find the price that maximizes revenue, we need to find the maximum value of the revenue function. This can be achieved by taking the derivative of the revenue function with respect to x and setting it equal to zero:

dR/dx = 140 - 1.60x = 0

Solving for x, we get:
140 = 1.60x
x = 140 / 1.60
x = 87.5

Now, substitute the value of x back into the demand function to find the corresponding price:
p = 140 - 0.80 * 87.5
p = 140 - 70
p = 70

Therefore, the price that will maximize revenue is $70.

To find the price that will maximize revenue, we need to determine the value of p that will maximize the revenue function.

Given that the revenue function is R = px, we can substitute the demand function p = 140 − 0.80x into the revenue function to get:

R = (140 − 0.80x) * x

Expanding this equation, we have:

R = 140x - 0.80x^2

Now, we want to find the maximum value of R, which occurs when the derivative of R with respect to x is equal to zero. So, let's take the derivative of R with respect to x:

dR/dx = 140 - 1.60x

Setting this derivative equal to zero:

140 - 1.60x = 0

Solving for x:

1.60x = 140
x = 140 / 1.60
x = 87.5

Now that we have the value of x, we can substitute it back into the demand function to find the corresponding price:

p = 140 - 0.80x
p = 140 - 0.80 * 87.5
p = 140 - 70
p = 70

Therefore, the price that will maximize revenue in this monopoly market is $70.

revenue is price * quantity

so multiply, then find the vertex of the parabola in the usual way.