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20 votes
20 votes
19.

4. The function y(x) = 48 - 2x relates the price, V, of Carolina's
wind chimes to the number produced, X. The cost of Carolina's
materials changes so that her new cost function is
C(x) = 4x + 42.
Find the new profit function. Then find the quantity that
maximizes profit and calculate the profit.

User Firat
by
3.1k points

2 Answers

17 votes
17 votes

Answer: New Profit Function is P(x)=-2x^2+44x-42

Explanation:

Write a function for Revenue first (Price * Units Sold = Revenue)

r(x)=(48-2x)x

Now you can write a function for profit.

P(x)=(48-2x)x-(4x+42)

48x-2x^2-4x-42

P(x)=-2x^2+44x-42

Pop it into the graph and you would find that she has to sell 11 wind chimes to gain the maximum profit of 200 dollars.

If you want to solve with out a graph, use vertex form equation: -b/2a

-44/-4=11

-2(11)^2+44(11)-42=200.

User Jaycal
by
3.4k points
16 votes
16 votes

Answer:

i try my best to answer if i can

Explanation:

User Thilina Dharmasena
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3.3k points