Suppose that demand for local cable TV service is given byp = 84 − 0.4x

[krystaaanicole2890]

Total revenue is in dollars and x is the number of units.

Suppose that demand for local cable TV service is given byp = 84 − 0.4x

where p is the monthly price in dollars and x is the number of subscribers (in hundreds).(a) Find the total revenue R (in hundreds of dollars) as a function of the number of subscribers (in hundreds).
R(x) =

(b) Find the number of subscribers (in hundreds) when the company charges $50 per month for cable service.
hundred subscribers

Find the total revenue (in hundreds of dollars) for p = $50.

hundred dollars

(c) How could the company attract more subscribers?More subscribers are attracted by ---Select--- lower higher

prices.

(d) Find the marginal revenue (in hundreds of dollars) when the price is $50 per month.
hundred dollars

Interpret this value.If the number of subscribers increases from (hundred) to (hundred) the revenue ---Select--- increases decreases

(100) = $ .

 

[Deleted member 4993]

Total revenue is in dollars and x is the number of units.

Suppose that demand for local cable TV service is given byp = 84 − 0.4x

where p is the monthly price in dollars and x is the number of subscribers (in hundreds).(a) Find the total revenue R (in hundreds of dollars) as a function of the number of subscribers (in hundreds).
R(x) =

(b) Find the number of subscribers (in hundreds) when the company charges $50 per month for cable service.
hundred subscribers

Find the total revenue (in hundreds of dollars) for p = $50.

hundred dollars

(c) How could the company attract more subscribers?More subscribers are attracted by ---Select--- lower higher

prices.

(d) Find the marginal revenue (in hundreds of dollars) when the price is $50 per month.
hundred dollars

Interpret this value.If the number of subscribers increases from (hundred) to (hundred) the revenue ---Select--- increases decreases

(100) = $ .

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[stapel]

Total revenue is in dollars and x is the number of units.

Suppose that demand for local cable TV service is given by p = 84 − 0.4x where p is the monthly price in dollars and x is the number of subscribers (in hundreds).

(a) Find the total revenue R (in hundreds of dollars) as a function of the number of subscribers (in hundreds).

You have been given a function for the per-user price. You have been given a variable for the number of users. How does this information relate to total income?

(b) Find the number of subscribers (in hundreds) when the company charges $50 per month for cable service.

You have been given a function relating users and prices. Plug the given information into the given function. Solve the resulting linear equation. Back-solve, using the variable's definition, for the answer.

Find the total revenue (in hundreds of dollars) for p = $50.

In part(a), you found a function for the revenue. Plug the answer for the first part of (b) into this function.

If you get stuck in this algebra, please reply showing your efforts so far. Thank you!