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Answer:
Angle between the two vectors is 20.7718°.
Step-by-step explanation:
The given two vectors are x = (1,2,3,4) and y = (4,2,4,5)
Now the dot product between two vector is defined as
x.y = ║x║║y║cosθ
Now, x.y( dot product of x and y) = 1×4 + 2×2 + 3×4 + 4×5 = 40
║x║= =
║y║= '
Thus, we get
40 = ×
×Cos θ
Thus, Cos θ =
Cos θ = 0.935
θ =
θ = 20.7718°
Answer:
In order to minimize cost the outlet must order 60 units 15 times a year.
Explanation:
Theoretically, the EOQ is the optimal order quantity that a firm should purchase in order to minimize its inventory costs (holding costs are included here), and costs of placing an order.
Mathematically:
EOQ=
Where:
D= demand
S= cost of placing an order.
H= holding cost (per unit and per year).
In the statement, we identify each of these values:
D= 900
S= 4
H= $2
EOQ= =√2*4*900/2= 60
Times per year= 900/60= 15