Profit Function Suppose that the revenue R , in dollars, from selling x cell phones, in hundreds, is R ( x ) = − 1.2 x 2 + 220 x . The cost C , in dollars, of selling x cell phones, in hundreds, is C ( x ) = 0.05 x 3 − 2 x 2 + 65 x + 500 . a. Find the profit function, P ( x ) = R ( x ) − C ( x ) . b. Find the profit if x = 15 hundred cell phones are sold. c. Interpret P ( 15 ) .
Profit Function Suppose that the revenue R , in dollars, from selling x cell phones, in hundreds, is R ( x ) = − 1.2 x 2 + 220 x . The cost C , in dollars, of selling x cell phones, in hundreds, is C ( x ) = 0.05 x 3 − 2 x 2 + 65 x + 500 . a. Find the profit function, P ( x ) = R ( x ) − C ( x ) . b. Find the profit if x = 15 hundred cell phones are sold. c. Interpret P ( 15 ) .
Solution Summary: The author calculates the revenue R from selling x cell phones, in dollars, and the cost C of selling them. The profit is 1836.25 when 15 hundred cellphones are sold.
Profit Function Suppose that the revenue
, in dollars, from selling
cell phones, in hundreds, is
. The cost
, in dollars, of selling
cell phones, in hundreds, is
.
a. Find the profit function,
.
b. Find the profit if
hundred cell phones are sold.
c. Interpret
.
Expert Solution & Answer
To determine
To find:
The revenue , in dollars, from selling cell phones, in hundreds, is and the cost , in dollars, of selling cell phones, in hundreds, is then find
The profit function
The profit if hundred cell phones are sold.
Interpret
Answer to Problem 103AYU
a) ; b) ; c) The profit is when 15 hundred cellphones are sold.
Explanation of Solution
Given:
The revenue , in dollars, from selling cell phones, in hundreds, is and the cost , in dollars, of selling cell phones, in hundreds, is
Calculation:
a) the stopping distance function
b)
c) The profit is when 15 hundred cellphones are sold.
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