Suppose a company has fixed costs of $44,200 and variable cost per unit of 1/3x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1948 − 2/3x dollars per unit.

(a) Find the break-even points. (Enter your answers as a comma-separated list.)

x =

(b) Find the maximum revenue. (Round your answer to the nearest cent.)

$

(c) Form the profit function P(x) from the cost and revenue functions.

P(x) =

Find maximum profit.

$

(d) What price will maximize the profit? (Round your answer to the nearest cent.)

$

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step-by-step explanation:

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24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;