A company's weekly profit can be modeled by the equation y=-0.5x^2+50x-300 where y is the profit (in dollars) and x is the number of items sold. What is their maximum weekly profit ?

Step-by-step explanation:

The number of items sold that gives the max profit is found in the vertex of this quadratic, (h, k). Lucky for us we have a formula for k that will give us exactly what we are looking for, and nothing else.

where a = -.5, b = 50, and c = -300:

The max profit is $950 per week

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

d 600 because 15*10*2=300

300+300=600

step-by-step explanation: