The cost in dollars to produce x youth baseball caps is C(x) = 4.3x + 75. The revenue in dollars from sales of x caps is R(x) = 25x. (a) Write and simplify a function P that gives profit in terms of x. (b) Find the profit if 50 caps are produced and sold.

preprekomW

preprekomW

Answered question

2021-03-02

The cost in dollars to produce x youth baseball caps is C(x) = 4.3x + 75. The revenue in dollars from sales of x caps is R(x)=25x.
(a) Write and simplify a function P that gives profit in terms of x.
(b) Find the profit if 50 caps are produced and sold.

Answer & Explanation

Laaibah Pitt

Laaibah Pitt

Skilled2021-03-03Added 98 answers

(a)The profit is the revenue minus cost so we write:
P(x)=R(x)C(x)
P(x)=25x(4.3x+75)
P(x)=25x4.3x75
P(x)=20.7x75
(b)Using the profit function from (a), substitute x=50 for 50 caps:
P(50)=20.7(50)75
P(50)=103575
P(50)=960$960

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