A consumer is constrained by
1 answer:
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Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is
Taking the first derivative of this with respect to and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of w.r.t
is
And setting this = 0 gives
Eliminating on both sides and solving for
gives us
Plugging this value of into the original equation gives us
This is the maximum value that the function can acquire. The attached graph shows this as correct
Answer:
$425
Step-by-step explanation:
Let x represent the number of bracelets made and let y represent the number of necklace made.
Since the craftsman has 1000 beads to work with, hence:
10x + 20y ≤ 1000 (1)
Also, the craftsman has 1600 minutes, hence:
10x + 40y ≤ 1600 (2)
From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).
Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:
Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425
