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
Answer:
y + 3 = 10/11(x + 3)
Step-by-step explanation:
Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:
Let (x1, y1) = (-3, -3)
(x2, y2) = (8, 7)
Substitute these values into the slope formula:
Thus, slope (m) = 10/11.
Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (-3, -3)
m = 10/11
y - y1 = m(x - x1)
y - (-3) = 10/11[x - (-3)]
Simplify:
y + 3 = 10/11(x + 3) this is the point-slope form.
Answer:
The answer is C.
Step-by-step explanation:
Add 3 to both sides and you will get x/2=10. Multiply by the reciprocal on both sides making x=20.
Im Gonna Do 14 And 15.
14:
3/4 (9/12) + 1/3 (4/12) = 13/12
4/5 (16/20) - 1/4 (5/20) = 11/20
15:
-15 < -6
-31 < -19
-5 < 20
-21 < -15
0 < 22
-57 < -26
-71 < -10
3 < 21
-124 < 30
-43 < 18
Hope This Helps!
