Answer: provided in the explanation segment
Step-by-step explanation:
here i will give a step by step analysis of the question;
A: Optimization Formulation
given Xij = X no. of units of product i manufactured in Plant j, where i = 1,2,3 and J = 1,2,3,4,5
Objective function: Minimize manufacturing cost (Z)
Z = 31 X11 + 29 X12 + 32X13 + 28X14 + 29 X15 + 45 X21 + 41 X22 + 46X23 + 42X24 + 43 X25 + 38 X31 + 35 X32 + 40X33
s.t
X11 + X12 + X13 + X14 + X15 = 600
X21 + X22 + X23 + X24 + X25 = 1000
X31 + X32 + X33 = 800
X11 + X21 + X31 <= 400
X12 + X22 + X32 <= 600
X13 + X23 + X33 <= 400
X14 + X24 <= 600
X15 + X25 <= 1000
Xij >= 0 for all i,j
B:
Yes, we can formulate this problem as a transportation problem because in transportation problem we need to match the supply of source to demand of destination. Here we can assume that the supply of source is nothing but the manufacturing capability of plant and demand of destination is similar to the demand of products.
cheers i hope this helps!!
(1)
given
=
( cross- multiply )
10j = 54 ( divide both sides by 10 )
j =
=
← in simplest form
(9)
let h be the hours worked daily , then
3h = 20
=
( divide both sides by 3 )
h =
÷ 3
=
×
=
= 6 
She worked 6
hours each day
<span>a. 17th percentile
First, take the data and sort it in increasing order, getting: 98 101 117 121 122 127 130 137 138 143 145 152.
The score of 117 is greater than 2 of the scores out of a total of 12 scores. So the percentile rank is 2/12 = 0.1666667 = 16.66667, or the 17th percentile. Therefore the answer is "a. 17th percentile"</span>
Answer:
x = 45
Step-by-step explanation:
The 3 angles of a triangle add up to 180
<a + <b + <c = 180
substitute what you know
55+ 80 + <c = 180
combine like terms
135 + <c = 180
subtract 135 from each side
<c = 180 -135
<c = 45
x = 45