Answer:
free points
Step-by-step explanation:
The maximum units is 200 and , Total revenue is $8,000
<u>Step-by-step explanation:</u>
Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:
We have following function as 
. Let's differentiate this and equate it to zero to find value of x for which the function is maximum!
⇒
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Now , Value of function at x=200 is :
⇒ 
⇒ 
⇒ 
Therefore , The maximum units is 200 and , Total revenue is $8,000
Let's try plugging in some negative numbers. Let's do x=-1. 5+-1=4. So we know that if we put in a negative number for x, then n will be positive. But what if we do a number greater than -5, because 5+-5=0. So let's try x=-6. So 5+(-6)=-1. Hmm. So here it is. We know that any number under -5 will be positive and any number above -5 will be negative.
The types of items that cost less than $3.75 per item are Paperbacks and notebooks.
<h3>How do we determine the price of a unit item in a word problem?</h3>
The price of a unit item can be determined by dividing the total price by the number of units sold.
Given that:
Paperbacks sold 3 units for $10.65;
- 1 unit will be sold for = $10.65/3 = $3.55
Notebooks sold 4 units for $14.36;
- 1 unit will be sold for = $14.36/4 = $3.59
Puzzles sold 3 units for $11.85;
- 1 unit will be sold for = $11.85/3 = $3.95
Picture frame sold 4 units for $15.20;
- 1 unit will be sold for = $15.20/4 = $3.80
Therefore, from the above calculations, we can conclude that the types of items that cost less than $3.75 per item are Paperbacks and notebooks.
Learn more about calculating the unit price of an item here:
brainly.com/question/5028370
#SPJ1
