What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?
1 answer:
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form:
= (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
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Answer:
The slope is:
The y-intercept is:
-3
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!!
