Answer:
The value that maximize the objective function is the point (1,4)
Step-by-step explanation:
we have
----> inequality A
----> inequality B
----> inequality C
----> inequality D
Using a graphing tool
The solution is the shaded area
see the attached figure
The coordinates of the solution area are
we have
The Objective Function is equal to
To find out the value of x and y that maximize the objective function, substitute each ordered pair of the vertices in the objective function and then compare the results
For (0,0) -------->
For (0,4.5) -------->
For (1,4) -------->
For (2.33,0) -------->
The value that maximize the objective function is the point (1,4)
2,952,000 + 3,600 = 2,955,600!
Answer:
1.5×10^17
Step-by-step explanation:
it would be better to first multiply the two then divide the answer by 9.4×10^-3
I hope this helps
Answer:
x = 60°, y = 78°, z = 29°.
Step-by-step explanation:
(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.
(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.
- Since ∠y ≅∠JPH, both angles measure 78°.
- (This can also be found by knowing 102 + y = 180 degrees, which simplifies to y = 78° since they are supplementary angles).
(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.