Answer:
z(max) = 5000
x₁ = 2
x₂ = 32
Step-by-step explanation:
Time Assemble Finish Inspection Profit
Small x₁ 3 2 1 100
Large x₂ 4 3 1,5 150
Availablity 140 100 50
Objective function:
z = 100*x₁ + 150*x₂ to maximize
Subject to:
First constraint assembly capacity 140 hours
3*x₁ + 4*x₂ ≤ 140
Second constraint finishing capacity 100 hours
2*x₁ + 3*x₂ ≤ 100
Third constraint inspection capacity 50 hours
x₁ + 1,5*x₂ ≤ 50
Model:
z = 100*x₁ + 150*x₂ to maximize
Subject to:
3*x₁ + 4*x₂ ≤ 140
2*x₁ + 3*x₂ ≤ 100
x₁ + 1,5*x₂ ≤ 50
General constraints x₁ ≥ 0 x₂ ≥ 0 and integers
With the use of AtomZmath.com (online solver)
After 6 iterations the solution is:
z(max) = 5000
x₁ = 2
x₂ = 32
3/6 6/12 2/4 is a few of them
Answer:
<em>4(y+2) = 3(x+4) and 4y - 3x = 4</em>
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the equation 3x - 4y = 7
Rewrite in slope intercept form
-4y = -3x+7
y = 3/4 x - 7/4
Slope = 3/4
Slope of the required line will also be 3/4 since they are parallel lines
Substitute the slope and the point into the equation above;
y - y0 = m(x-x0)
y +2 = 3/4 (x+4)
4(y+2) = 3(x+4)
4y + 8 = 3x+12
4y - 3x = 12-8
4y - 3x = 4
<em>Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4</em>
Answer:
60 minutes
Step-By-Step Explanation:
1. 12/2= 6 (6 minutes per kilometer)
2. 10000/1000= 10 (10000m is 10km)
3. 10*6= 60min
<em><u>If this helped, please consider picking this answer as the Brainliest Answer. Thank you!</u></em>
Answer:
Step-by-step explanation:
15/45 * 100
=33.33%
