Answer:
z (max) = 96
x₁ = 2
x₂ = 0
x₃ = 1
Step-by-step explanation:
Fromproblem statement:
weight (lb) . Profit $
Denim jeans 2.1 40
CD players 3.2 48
Compact Discs 0.8 16
Objective Function z is:
z = 40*x₁ + 48*x₂ + 16*x₃ to maximize
Subject to:
Weight constrain: 5 lb
2.1*x₁ + 3.2*x₂ + 0.8*x₃
x₁≥ 0 x₂ ≥ 0 x₃ ≥ 0 All integers
Using AtomZmath on-line solver and after 2 iterations
Solution:
z (max) = 96
x₁ = 2
x₂ = 0
x₃ = 1
1) given that those two lines are parallel, we can deduce that 9/45=x/75.
9/45 simplifies to 1/5 so 1/5 = x/75. Cross multiply to get this: 5x = 75.
Divide both sides by 5 to get x.
Final answer: x = 15
2) Again, we can set up a proportion to solve for x because we know the lines are parallel. 24/36=x/12. 24/36 simplifies to 2/3 so 2/3=x/12. Cross multiply to get this: 3x = 24. Divide both sides by 3 to get x.
Final answer: x = 8
Answer:f(x)=x^(2)-4x-1
Step-by-step explanation: Ezzz
Assuming the 100 people sampled are representative of the population as a whole, the answer is choice B. Most people who own a cat would dislike dogs according to the survey. We can only talk about cat owners since the 100 people selected are cat owners. We can't say anything about pet owners in general.
Answer:
5
Step-by-step explanation:
