Answer:
we have to maximize the following equation:
45A + 50B + 55C
where:
A = number of model A bicycles produced
B = number of model B bicycles produced
C = number of model C bicycles produced
the constraints are:
2A + 2.5B + 3C ≤ 4006 (assembly constraint)
A + 0.5B + 2C ≤ 2495 (painting constraint)
A + 0.75B + 1.25C ≤ 1500 (packaging constraint)
A,B,C ≥ 0
using solver, the optimal solution is: 745A + 1006B = $83,825
using slack variables:
2A + 2.5B + 3C + S1 = 4006 (assembly constraint)
A + 0.5B + 2C + S2 = 2495 (painting constraint)
A + 0.75B + 1.25C + S3 = 1500 (packaging constraint)
A,B,C,S ≥ 0
slack variable tableau:
A B C S1 S2 S3 Z B
2 2.5 3 1 0 0 0 4006
1 0.5 2 0 1 0 0 2495
<u>1 0.75 1.25 0 0 1 0 1500</u>
-45 -50 -55 0 0 0 1 0
We can used the Simpson's Rule says to approximate the area under a given curve using the following formula:
<span>(Δx/3)[f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(xn-2) + 4f(xn-1) + f(xn)] </span>
<span>The pool is divided into 8 subintervals. We integrate the given function from 0 to 24, while the graph provides values of f(x) at 7 different points. The first value given, 6.2, is NOT f(0). It is f(3). Using Simpson's Rule, and dividing the lake of 24 meters into 8 subintervals, we write the equation: </span>
<span>area = (3/3)[f(0) + 4f(3) + 2f(6) + 4f(9) +2f(12) + 4f(15) + 2f(18) + 4f(21) + f(24)] </span>
<span>Pool area = 0 + 4(6.2) + 2(7.2) +4(6.8) + 2(5.6) + 4(5.0) +2(4.8) +4(4.8) + 0 = 126.4 m^2 </span>
<span>Rounding to the nearest square meter, the area of the lake is approximately 126 m^2 </span>
Answer:
It is C -14r+6p
Step-by-step explanation:
If you want the explanation just tell me
Answer: The theoretical probability of choosing a tile with letter P =0.18
Step-by-step explanation:
Given word = MISSISSIPPI
Total number of letters in given the word = 11
Number of letter P in given word = 2
Let A be a event of choosing a tile with a letter P then
P(A) =Number of tiles with letter P / Total letters in given word
= 2 /11 = 0.18
Answer:
1. Multiply (2) by 2 to eliminate the x-terms when adding
2. Multiply (2) by 3 to eliminate the y- term
Step-by-step explanation:
Use this system of equations to answer the questions that follow.
4x-9y = 7
-2x+ 3y= 4
what number would you multiply the second equation by in order to eliminate the x-terms when adding the first equation?
4x-9y = 7 (1)
-2x+ 3y= 4 (2)
Multiply (2) by 2 to eliminate the x-terms when adding the first equation
4x-9y = 7
-4x +6y = 8
Adding the equations
4x + (-4x) -9y + 6y = 7 + 8
4x - 4x - 3y = 15
-3y = 15
y = 15/-3
= -5
what number would you multiply the second equation by in order to eliminate the y- term when adding the second equation?
4x-9y = 7 (1)
-2x+ 3y= 4 (2)
Multiply (2) by 3 to eliminate the y- term
4x - 9y = 7
-6x + 9y = 12
Adding the equations
4x + (-6x) -9y + 9y = 7 + 12
4x - 6x = 19
-2x = 19
x = 19/-2
= -9.5
x = -9.5
