A 3rd degree binomial with a constant term of 8
2 answers:
Answer:
Step-by-step explanation:
A binomial expression has two terms. For example, 4x + 5,
The degree of any polynomial refers to the term with the highest exponent on its variable. For example, In expression 4x + 5, the exponent of x is 1 so it is 1st degree polynomial and in the same way, for since the variable y has the highest exponent i.e., 2 therefore it is 2nd degree polynomial.
Now, third degree binomial with constant term 8 =
As it has two terms where first term is and second term is 8. Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8.
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Answer: 1) The minimum price, in dollars, to avoid a loss = 22,
2) the maximum price in dollars , to avoid a loss = 53,
3) The price that results the maximum profit = 37.5 dollars
Step-by-step explanation:
Since the given function that shows the total profit,
Where x is the price of the product.
Since for avoiding the loss,
,
⇒
If
If
Thus, 53 ≥ x ≥ 22,
Therefore, the minimum price to avoid the loss = $ 22
And, the minimum price to avoid the loss = $ 53
⇒
Now, For maximum or minimum,
,
⇒
⇒
⇒
For x = 37.5, f''(x) is negative,
Thus, For the price of $ 37.5 dollars the company has the greatest profit.