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!!
Answer:
Initial temperature;
432.76
Common ratio;
-0.067
Equation;
Step-by-step explanation:
In this scenario, the time in minutes represents the independent variable x while the temperature of the pizza represents the dependent variable y.
The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.
The Ms. Excel output is shown in the attachment below. To obtain the initial temperature we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.
Add
4
x
4
x
to both sides of the equation.
y
=
−
28
+
4
x
y
=
-
28
+
4
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
4
x
−
28
y
=
4
x
-
28
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
4
4
y-intercept:
−
28
-
28
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
2
−
20
3
−
16
x y 2 -20 3 -16
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
4
y-intercept:
−
28
-
28
x
y
2
−
20
3
−
16
x y 2 -20 3 -16
image of graph
y
−
4
x
=
−
2
8
y
-
4
x
=
-
2
8
28
x
28
x
28
x
2
28
x
2
28
x
3
28
x
3
Answer:
2
Step-by-step explanation:
12 + 12 = 24
since the powers are same, ignore 'em , and let's calculate the bases.
-16.(1/2)
-8.1 (upon cancellation)
ans = -8
hope it helps...!!!
