The total revenue function for a product is given by R = 540x dollars, and the total cost function for this same product is given by C = 13,500+ 60x + x², where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 24 units are produced and sold? c. What is the profit when 38 units are produced and sold? d. How many units must be sold to break even on this product?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The total revenue function for a product is given by
R = 540x dollars, and the total cost function for this same
product is given by C = 13,500+ 60x + x², where C is
measured in dollars. For both functions, the input x is the
number of units produced and sold.
a. Form the profit function for this product from the two
given functions.
b. What is the profit when 24 units are produced
and sold?
c. What is the profit when 38 units are produced
and sold?
d. How many units must be sold to break even on
this product?
(・・・)))
a. Write the profit function.
P(x) =
(Simplify your answer.)
b. When 24 units are produced and sold, there is
a
of $.
(Simplify your answer.)
c. When 38 units are produced and sold, there is
of $.
a
(Simplify your answer.)
d. The number of units that must be sold to break
even on this product is.
(Simplify your answer. Use a comma to separate
answers as needed.)
Transcribed Image Text:The total revenue function for a product is given by R = 540x dollars, and the total cost function for this same product is given by C = 13,500+ 60x + x², where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 24 units are produced and sold? c. What is the profit when 38 units are produced and sold? d. How many units must be sold to break even on this product? (・・・))) a. Write the profit function. P(x) = (Simplify your answer.) b. When 24 units are produced and sold, there is a of $. (Simplify your answer.) c. When 38 units are produced and sold, there is of $. a (Simplify your answer.) d. The number of units that must be sold to break even on this product is. (Simplify your answer. Use a comma to separate answers as needed.)
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