Answer:
slope = -7
Step-by-step explanation:
(1, 4) and (2, -3)
Slope = y^2 - y^1 / x^2 - x^1
m = -3 - 4 / 2 - 1
m = -7 / 1
m = -7 ---------> slope of the line through (1, 4) and (2, -3)
Answer:
arg (w)=π/4 and |w|=√2
Step-by-step explanation:
If z= x+iy is a complex number, then |z| is given by √ ( x²+y² ).
And the argument (z) is given by Ф = tan⁻¹ ( y/x ) where -π < x < π.
Now, in our case w= 1+i i.e. x=1 and y=1.
Therefore, arg (w) = tan⁻¹ (1/1) = π/4 and |w|=√ ( 1²+1² ) = √2 (Answer)
Answer:
R = 2414 units
0.794
Step-by-step explanation:
Given:
Weekly demand, D = 331 units
Lead time (L)= 6 weeks
Standard Deviation (SD) = 85 units
The reorder point is calculated using the relation :
R = D*L + z*(SDw)
SDw = the standard deviation with lead time of 6 weeks ; √6 * 85 = 208.21
z = NORMSINV(0.98) = 2.05
R = (331 * 6) + (2.05 * 208.21)
R = 1986 + 428.122
R = 2414.122
R = 2414 units
The Safety stock, SS
SS = z * SDw
SS = 2.05 * 208.21
SS = 426.8305 units
60% reduction :
426.8305 * (1 - 60%)
= 170.7322
= 171 units
The new service probability ;
SS = z * SDw
171 = z * 208.21
z = 171 / 208.21
z = 0.82
P(Z < 1.02) = 0.7938 = 0.794 = 79.4%
Answer:
Step-by-step explanation:
-2 = 0.25p + 0.75p
-2 = 1p
-2/1 = p
-2 = p
