Answer:For all the corner points, the maximum is at point (1, 3)
From the graph of the constraints, the corner points of the feasibility region are (0, 0), (0, 10/3), (1, 3), (2, 0)
For (0, 0): p = 0 + 2(0) = 0
For (0, 10/3): p = 0 + 2(10/3) = 20/3 = 6.67
For (1, 3): p = 1 + 2(3) = 1 + 6 = 7
For (2, 0): p = 2 + 2(0) = 2
Therefore, solution = (1, 3)
Answer:
y=1/2+x
1Beacuxse the negative is the postivw
To find the population after t number of years, multiply the starting population by 1 plus the percent increase raised to the number of years.
The equation would be: P = 508(1.062)^t
Answer:
f(x) =
is the required polynomial.
Step-by-step explanation:
Given the zeroes (roots) of the polynomial are
and
.
We know that complex roots occur in conjugate pairs.
So, this means that
and
would also be the roots of the polynomial.
If
are to be the roots of the polynomial then the polynomial should have been:
.
Now, to determine the polynomial for which
would be the roots.
Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.
⇒ 
⇒ 
The required polynomial would be the product of all the above polynomials.

Multiply this to get the required equation.
⇒

∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.