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3 years ago

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Justin started a lawn service business. His rate to maintain an average size lawn is $35. It costs Justin $750 to start the busi

ness. And he estimates that his cost per lawn is $1.50. Write the cost function in terms of c(x) the revenue terms of r(x) and the profit function in terms p(x)

1 answer:

Ronch [10]3 years ago

4 0

Answer:

Step-by-step explanation:

Cost function: Fixed costs+ Variable costs

In this case Justin will have to pay $750 to star the business, this is his fixed cost. And then, he will have to pay $1,50 per each lawn, this is his variable cost because it depends on the number of lawns he sells.

C(x)= $750+$1,50x

Revenue function (R(x)):

R(x)= Price * Number of units sold (x)

R(x)= $35*x

Profit function ((P(x))= Revenue function (R(x))-Cost function (C(x))

P(x)= $35x- [$750+$1,50x]

P(x)= $33,5-$750

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For 59 - 66

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For 83 - 90

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The mean is then calculated as:

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$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

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$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

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Step-by-step explanation:

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<em>c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?</em>

To calculate the probability of earning less than $40,000, we can calculate the z-value:

$z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05$

The probability is then

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The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

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