You do $50 ÷ $8 = 6.25. You can't have 0.25 boxes, so you round down to 6. 7 markers × 6 = 42 markers, which is the answer
The maximum value of the objective function is 31.787
<h3>How to maximize the function?</h3>
The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
Read more about maximum functions at:
brainly.com/question/14381991
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Answer:A
Step-by-step explanation:campbella helped
Compound Interest Formula: A = P(1 + r/n)^(n·t)
A = final amount r = rate, as a decimal (.021) t = number of years (17)
P = initial amount (2914.72) n = number of times compounded per year (365)
A = 2914.72(1 + .021/365)^(365·17) = $4165.20
Interest earned: $4165.20 - $2914.72 = $1250.48 <----- Answer
You might want to recalculate this, attempting to handle leap years, by replacing the number of times compounded per year with 365.25 and see if that has an effect
Answer:
11
Step-by-step explanation:
because that are 11 pencils that are 6 inches or longer, that's what the picture says.