A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
1 answer:
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
You might be interested in
Answer:
1.; 2.
Step-by-step explanation:
Step 1. Calculate the area of the floor
If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.
The side length l of the actual floor is
l = 10 cm × (2 ft/1 cm) = 20 ft
The area A₂ of the floor is
A = l² = (20 ft)² =
Step 2. Calculate the area ratios
We must express both areas in the same units.
Let's express the area of the room in square centimetres.
l = 20 ft × (12 in/1 ft) = 240 in
l = 240 in × (2.54 cm/1 in) = 609.6 cm
A₂ = l² = (609.6 cm)² = 371 612 cm²
The area A₁ on the scale drawing is 100 cm².
The ratio of the areas is
The ratio of the area in the drawing to the actual area is