(a) [0, 1] (c) {2,7} (e) {÷ :n e N} (g) [0, 1] U [2, 3] (b) (0, 1) (d) {T,e} (f) {0}
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Please give its supremum if it has one. Otherwise write “NO sup.”
![(а) [0, 1]
(c) {2,7}
(e) {; :n E N}
(g) [0, 1) U [2, 3]
(b) (0,1)
(d) {T,e}
(f) {0}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5f558a7-14fc-4024-84d6-4debb1adc6f6%2F4e825306-066f-4d34-8724-a8599381d032%2Fx9okvxm_processed.png&w=3840&q=75)
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- max z = x1 + 3x2 s.t. x1 + 2x2 ≥ 6 2x1 + x2 ≤ 8 x1, x2 ≥ 0 For the LP above, which of the following is its standard form? max z = x1 + 3x2 s.t. x1 + 2x2 + s1 = 6 2x1 + x2 + s2 = 8 x1, x2, s1, s2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 – e1 = 6 2x1 + x2 – e2 = 8 x1, x2, e1, e2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 + s1 = 6 2x1 + x2 – e2 = 8 x1, x2, s1, e2 ≥ 0 max z = x1 + 3x2 s.t. x1 + 2x2 – e1 = 6 2x1 + x2 + s2 = 8 x1, x2, e1, s2 ≥ 0The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.ELEMENTARY APPLICATION OF DE/LINEAR DE OF ORDER, n, Case 1 and 2
- Rouché's theorem for p(z)=z^6−5z^4+z^3-2z ;|z|=1The revenue per month earned by the Couture clothing chain at timetisR(t) =N(t)S(t),whereN(t) is the number of stores andS(t) is the average revenue per store per month. Couturereleases a statement to their investors saying that currently they have 50 stores with a total revenueof$7,500,000 and expect to increase the number of stores by about 2 stores per month and increasetotal revenue by about$250,000 per month. What does this statement imply about the current rateof change of the average revenue per store per month?Solve for the moment generating function of X if for all natural number n, X ∼ U {1,2,…,n}.
- How is the Jacobian formulated?If Z1, Z2, Z3 are independent and identically distributed, such that Zi--Geom(0.4) for i=1,2,3. What is P(Z1+Z2+Z3=7)?Construct a model for the number of cats, y, after x months that make use of the following assumptions: 1. It begins with two cats – one female and one male, both unneutered. 2. Each litter is composed of 4 kittens – 3 males and 1 female. 3. It takes four months before a new generation of cats is born. 4. No cat dies (all are healthy) and no new cats are introduced.