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the function v(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 c(x) = 4x + 42. find the new profit function. then find the quantity that maximizes profit and calculate the profit.

Respuesta :

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

Step-by-step 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.

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