The cost to produce x units of wire is C= 55x + 450, while the revenue is R= 80x. Find all intervals where the product will at l
1 answer:
Answer:
The interval where the product will at least break even is given by x ≥ 10.
In interval notation the interval will be denoted by [10, ∞).
Step-by-step explanation:
i) the cost to produce x units of wire is C = 55x + 450
ii) the Revenue is R = 80x
iii) therefore the product will at least break even when
the cost, C = the Revenue, R.
therefore 55x + 450 = 80x (80 - 35)x = 45x = 450 ∴x = 450 / 45 = 10.
iv) The interval where the product will at least break even is given by x ≥
10.
In interval notation the interval will be denoted by [10, ∞).
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Using the binomial distribution, the probabilities are given as follows:
a) 0.37 = 37%.
b) 0.5065 = 50.65%.
c) 0.3260 = 32.60%.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the fixed parameter is:
p = 0.37.
Item a:
The probability is P(X = 1) when n = 1, hence:
Item b:
The probability is P(X = 3) when n = 3, hence:
Item c:
The probability is P(X = 2) when n = 4, hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
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