Answer:
To minimize the cost, the Chicago plant should run 30 days and the Detroit plant should run 20 days.
Step-by-step explanation:
This is a linear programming question, in which there is a function to optimize (minimize cost) and restrictions, all linear functions.
The objective function is Cost:
C: cost function
H: days of operation for Chicago plant
D: days of operation for Detroit plant
The restrictions are:
- Minimum requirements for radial tires:
- Minimum requirements for standard tires:
- Days are positive integers
We have 3 points in which 2 of the constraints are saturated. In one of this three points is the minimum cost.
We will evaluate them to find the minimum cost:
Point 1: H=0, D=80
Point 2: H=50, D=0
Point 3: H=30, D=20
The third point minimizes the cost.
To minimize the cost, the Chicago plant should run 30 days and the Detroit plant should run 20 days.
Answer:
a = 16
Step-by-step explanation:
inversely proportional
y = k/x
a = k/b
5 = k/4
solve for k
multiply by 4 on each side
20 =k
a = 20b
if b = 4/5
a = 20 * 4/5
a = 16
Answer:
I think it's 4/10 which is 0.4
Step-by-step explanation:
Step-by-step explanation:
Let ABC be an isosceles triangle with sides AC and BC of equal length.
We need to prove that the medians AD and BE are of equal length.
Consider the triangles ADC and BEC.
They have two congruent sides that include congruent angles.
Indeed, AC = BC by the condition, because the triangle ABC is isosceles.
Since the lateral sides AC and BC are of equal length, their halves EC
and DC are of equal length too: EC = DC.
Finally, the angle ECD is the common angle.
Thus, the triangles ADC and BEC are congruent, in accordance to the
postulate P1 (SAS) (see the lesson Congruence tests for triangles of the
topic Triangles in the section Geometry in this site).
Hence, the medians AD and BE are of equal length as the corresponding sides
of these triangles.
The proof is completed.
