Answer:
The length of KS is 25 units and the length of KP is 17 units.
Step-by-step explanation:
Given information: KPST is a trapezoid, KP=ST, MN is a mid segment, MN=20, h=15, PS:KT=3:7 .
Since two sides of the trapezoid are equal therefore it is an isosceles trapezoid.
The midsegment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.
The length of mid segment is average of length of parallel lines. The length of mid segment is 20.
It is given that PS:KT=3:7. Let the length of sides be 3x and 7x respectively.
The value of 3x and 7x are 12 and 28 respectively. So, the length of sides PS and KT is 12 and 28 respectively.
Use pythagoras in triangle AKP.
tex]\sqrt{289}=KP[/tex]
Use pythagoras in triangle BKS.
tex]\sqrt{625}=KS[/tex]
Therefore length of KS is 25 units and the length of KP is 17 units.
Answer:
(1.35, 1.6)
Step-by-step explanation:
A screenshot of the graph is attached.
Once we graph the equations and
, the solution to this system will be their intersection point.
Tracing the graph on the calculator, we see that the point of intersection is at about (1.35, 1.6).
The question is incomplete. The complete question is :
Davison Electronics manufactures two LCD television monitors, identified as model A and model B. Each model has its lowest possible production cost when produced on Davison’s new production line. However, the new production line does not have the capacity to handle the total production of both models. As a result, at least some of the production must be routed to a higher-cost, old production line. The following table shows the minimum production requirements for next month, the production line capacities in units per month, and the production cost per unit for each production line:
Production per unit Minimum production
Model New Line Old Line requirements
A $30 $50 50,000
B $25 $40 70,000
Production 80000 60000
line capacity.
Let
AN- Units of model A produced on the new production line
AO Units of model A produced on the old production line
BN Units of model B produced on the new production line
BO Units of model B produced on the old production line
Davison's objective is to determine the minimum cost production plan. The computer solution is shown in Figure 3.21.
a. Formulate the linear programming model for this problem using the following four constraints:
Constraint 1: Minimum production for model A
Constraint 2: Minimum production for model B
Constraint 3: Capacity of the new production line
Constraint 4: Capacity of the old production line
Solution :
<u>Linear programming model</u>:
Linear programming is defined as a mathematical model where the linear function is either minimize or maximize when they are subjected to some constraints.
The linear programming model is determined as follows :
Minimum : 30 AN + 50 AO + 25 BN + 40 BO
This is subject to the constraints as :
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