Answer:
z (min) = 150090.8 ( monetary units ) ( $ )
x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700
Step-by-step explanation:
wrenches produced in-house ( W111 = x₁ W222 = x₂ W333 = x₃ )
x₁ x₂ and x₃
wrenches produced outside (W111 = x₄ W222 = x₅ W333 = x₆ )
x₄ x₅ and x₆
Objective function:
z = 17*x₁ + 20.40*x₄ + 19*x₂ + 21.85*x₅ + 23*x₃ + 25.76*x₆ to minimize
First constraint: Manufacturing hours: 16500
2.5*x₁ + 3.4*x₂ + 3.8*x₃ ≤ 16500
Second constraint: Inspection hours : 1600
0.25*x₁ + 0.3*x₂ + 0.45*x₃ ≤ 1600
Three demands constraint:
x₁ + x₄ = 2000
x₂ + x₅ = 3750
x₃ + x₆ = 1700
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 x₄ ≥ 0 x₅ ≥ 0 x₆ ≥ 0 all integers
After 6 iterations with on-line solver the solution is:
z (min) = 150090.8 ( monetary units ) ( $ )
x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700
Answer:
8 hours
Step-by-step explanation:
1. Subtract value of tips she got that day
87.05 - 50.25 = 36.8
36.8 is the actual payment for her job that day
2. Divide 36.8 with paid/hour (4.6)
36.8 ÷ 4.6 = 8 hours
Answer:
six rational number between 3 and 4 are 721 and 728 are 722,723,724,725,726,727
Answer:
D. (x - 9)(x+5)
Step-by-step explanation:
is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.
First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.
So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.
B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B
It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.
Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.
