Question Number 134460 by bramlexs22 last updated on 04/Mar/21
![2. When the cost of a bag of potatoes is $5 a supermarket sells 40 bags a day. For every $1 increase in price they sell 4 bags a day less. Use calculus to find what price per bag produces the most money collected. If x represents the price per bag and y represents the amount of money collected then y = x(60 – 4x)](https://www.tinkutara.com/question/Q134460.png)
$$ \\ $$2. When the cost of a bag of potatoes is $5 a supermarket sells 40 bags a day. For every $1 increase in price they sell 4 bags a day less. Use calculus to find what price per bag produces the most money collected. If x represents the price per bag and y represents the amount of money collected then y = x(60 – 4x)
Answered by EDWIN88 last updated on 04/Mar/21
![y=60x−4x^2 ⇒y′=60−8x=0 ; x = ((60)/8)=7.5](https://www.tinkutara.com/question/Q134463.png)
$$\mathrm{y}=\mathrm{60x}−\mathrm{4x}^{\mathrm{2}} \Rightarrow\mathrm{y}'=\mathrm{60}−\mathrm{8x}=\mathrm{0}\:;\:\mathrm{x}\:=\:\frac{\mathrm{60}}{\mathrm{8}}=\mathrm{7}.\mathrm{5} \\ $$