9514 1404 393
Answer:
- Material 2 can deliver the highest profit of about 3,225,000
- Material 3 is profitable for the widest range of prices
Step-by-step explanation:
The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.
Material 2 (blue curve) shows the highest profit.
Material 3 (green curve) shows a profit over the widest range of prices.
9514 1404 393
Answer:
f(8) = -30 is the maximum
Step-by-step explanation:
The equation is that of a parabola in vertex form:
y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor
Comparing this form to the given equation, we have ...
f(x) = -(x -8)^2 -30
That is, the scale factor is -1, and the vertex is (8, -30).
When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.
X=12
(10(12)-20) = 120-20 = 100
(6(12)+8) = 72+8=80
100+80 = 180
A multiplicative inverse is the same thing as a reciprocal, which is basically just flipping the fraction and changing the sign. Therefore the multiplicative inverse of -1/9 is 9
