Step-by-step explanation:
Put y's on the one side and divided by what they have in the front so it would be
y=2x-4
and
y=x+2
and they y intercept for first one is -4
and slope is 2 which it goes up twice and goes right once because its positive
second one, y intercept is 2
and slope is 1 goes one up and one right because it is positive
Base = 8 + 2x
Height = 14 - x
Expression for area of the triangle:
1/2(8 + 2x)(14 - x)
Hope this helps!
Answer:
Selling 40 items will produce a maximum profit.
Step-by-step explanation:
We need to use First and Second Derivative Tests on profit function to determine how many items will lead to maximum profit. Let , where is the profit for a product, measured in US dollars, and is the amount of items, dimensionless.
First we derive the profit function and equalize it to zero:
(Eq. 1)
Roots are found by Quadratic Formula:
and
Only the first root may offer a realistic solution. The second derivative of the profit function is found and evaluated at first root. That is:
(Eq. 2)
(Absolute maximum)
Therefore, selling 40 items will produce a maximum profit.
-141 apples could be shipped in the crates.
-There would be 24 apples leftover.
-5100 divided by 36 = 141 remainder 24
(Hope this helped ^^)