Solve for x
Divide both sides by -4
X= - 10/4
Now simplify by dividing top and bottom by 2
X= -5/2 or - 2 1/2
Answer:
There are 28 dolls, 32 balls, 20 cars for 80 total toys
Step-by-step explanation:
dolls : balls: cars: total
7 8 5 (7+8+5)
7 8 5 20
We have a total of 80
80/20 = 4
We need to multiply each number by 4
dolls : balls: cars: total
7*4 8*4 5*4 20*4
28 32 20 80
There are 28 dolls, 32 balls, 20 cars for 80 total toys
The maximum value of the objective function is 330
<h3>How to maximize the
objective function?</h3>
The given parameters are:
Max w = 5y₁ + 3y₂
Subject to
y₁ + y₂ ≤ 50
2y₁ + 3y₂ ≤ 60
y₁ , y₂ ≥ 0
Start by plotting the graph of the constraints (see attachment)
From the attached graph, we have:
(y₁ , y₂) = (90, -40)
Substitute (y₁ , y₂) = (90, -40) in w = 5y₁ + 3y₂
w = 5 * 90 - 3 * 40
Evaluate
w = 330
Hence, the maximum value of the function is 330
Read more about objective functions at:
brainly.com/question/26036780
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