Answer:
8 thousand dollars
Step-by-step explanation:
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24
To find maximum profit , we need to find out the vertex
x coordinate of vertex formula is -b/2a
a=-2 and b = 16
Now we plug in 4 for x and find out P(4)
= 8
So the maximum profit the company can earn is 8 thousand dollars when price = $4
Answer:
<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.
Step-by-step explanation:
Given:
A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.
If the mixture is to be made from milk containing 5% butterfat, and cream
containing 20% butterfat.
Now, to find the pints of each is needed.
Let the pints of 5% butterfat be
And the pints of 20% butterfat be
<em>So, the total pints of milk:</em>
......(1)
<em>As, given:</em>
<em>1,000 pints of milk that contains 8% butterfat.</em>
<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>
According to question:
Substituting the value of from equation (1):
<em>Subtracting both sides by 5000 we get:</em>
<em>Dividing both sides by 15 we get:</em>
<em>The pints of 20% butterfat = 200 pints.</em>
Now, to get the pints of 5% butterfat we put the value of in equation (1):
<em>The pints of 5% butterfat = 800 pints.</em>
Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.