Answer: Slope of the line given in the table: m = - 0.25
Y-intercept of the line given in the table: b = -4
Slope of the line given by the equation: m = 1.5
Y-intercept of the line given by the equation: b = 1
Step-by-step explanation: <u>Slope</u> of an equation is an indication of the steepness and direction of a linear graph. It is denoted as m and it can be calculated as:
m = 
Another way of determining the slope is as the form:
y = mx+b
<u>For the table</u>:
As in the table there are only points:
m = 
m = - 0.25
<u>For the function</u>:
The function is:
y = 3/2x + 1
m = 3/2
m = 1.5
<u>Y-intercept</u> is where the linear function crosses the y-axis, or when x=0. It can also be represented by the letter b.
<u>For the table</u>:
y = mx + b
According to the table, when y = -2.5, x = -6
-2.5 = - 0.25. (-6) + b
b = -2.5 - 1.5
b = -4
<u>For the function:</u>
y = 1.5x + 1
b = 1
In conclusion:
- For the table: m = - 0.25 b = - 4
- For the equation: m = 1.5 b = 1
0.4 x 25. this will give you 10
Answer: 0.50
Step-by-step explanation:
ap ex
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:
List price (original price) = $350
Discount amount ($ saved) = $133
Step-by-step explanation:
The list price is the sale price ($217) divided by the difference of 1 minus the result of the discount (38%) divided by 100.
