Answer:
Step-by-step explanation:
Profit is expressed as Revenue - Cost. Therefore
P = R - C
P(X) = R(x) - C(X)
Let x represent the number of units produced and sold.
a) A manufacturer has a monthly fixed cost of $22,500 and a production cost of $6 for each unit produced. This means that the cost function would be
C(x) = 22500 + 6x
b) The product sells for $9/unit. This means that the revenue function would be
R(x) = 9x
c) The profit function would be
P(x) = R(x) - C(x) = 9x - (22500 + 6x)
P(x) = 9x - 22500 - 6x
P(x) = 3x - 22500
d) when x = 6000,
P = 3 × 6000 - 22500 = 18000 - 22500 = -$4500. loss is made
when x = 9000,
P = 3 × 9000 - 22500 = 27000 - 22500 = $4500. profit is made
The absolute value of a number is always positive....even when the number is negative
| -2 5/10 | = 2 5/10 <==
Answer:
12:32 or 12/32
Step-by-step explanation:
The total games is 32 and the football games was 12 so 12:32 or 12/32.
Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2. The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.
Answer:
in order to find the area, we should break up the figure. you can see that in the image we have a quarter of a circle and a square. here are the areas for each of these shapes
square:
circle:
but since we only have a quarter of this circle we need to divide the area by 4 so the formula becomes
now we can plug in our numbers
we are given 6 m for our radius or length of square
the square will be (6)^2 = 36 m^2
now onto our circle
π(6)^2/4 = 28.26 m^2
now add these two shapes together to find the total area = 64.26 m^2
