Step-by-step explanation:
As you found in parts a and b, p = 840 − 2x, and R(x) = -2x² + 840x.
For part c, profit = revenue − cost.
P(x) = R(x) − C(x)
P(x) = -2x² + 840x − (2x² + 15x + 1500)
P(x) = -2x² + 840x − 2x² − 15x − 1500
P(x) = -4x² + 825x − 1500
The maximum profit is at the vertex of the parabola.
x = -b / (2a)
x = -825 / (2 × -4)
x = 103.125
Or, we can use calculus:
P'(x) = -8x + 825
0 = -8x + 825
x = 103.125
Rounding, the manufacturer should produce 103 refrigerators each week.
Answer:
(21, 2 )
Step-by-step explanation:
Given the 2 equations
y = - x + 9 → (1)
y = x - 12 → (2)
Substitute (2) into (1)
x - 12 = - x + 9 ( add x to both sides )
x - 12 = 9 ( add 12 to both sides )
x = 21
Substitute x = 21 into either of the 2 equations and evaluate for y
Substituting into (2)
y = × 21 - 12 = 14 - 12 = 2
Solution is (21, 2 )
Answer:
Step-by-step explanation:
The slope-intercept form of the equation of a line is:
Where m is the slope of the line and b is the intercept with the y axis.
So:
To find b we take the point (1970, 23.2) and introduce it in the previous equation.
Then the equation is:
Because this is a right triangle, so: 180-90=90
Thus, let 90 : 2 = 45