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Alona [7]
3 years ago
13

Even though independent gasoline stations have been having a difficult time, Susan Solomon has been thinking about starting her

own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table:
Mathematics
1 answer:
garik1379 [7]3 years ago
3 0

The maximax decision for Susan would be to have a very large gasoline station.

<h3>What is a Maximax decision?</h3>

This is the decision that provides a person with the maximum possible profits or advantages.

<h3>What is the Maximax decision in this case?</h3>

In this case, the maximax decision is a very large gasoline station because the possible profits add up to $325,000 ($25,000 + $300,000) and the possible losses are $100,000. This implies with this type of gasoline station Susan could maximize her profits even though there is a risk.

Note: This question is incomplete; here is the missing section:

  • What is the Maximax decision?

Learn more about decisions in: brainly.com/question/7383200

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Answer:

Height = 12cm

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Step-by-step explanation:

Given

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V = 432\pi

Required

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Volume is calculated as:

V = \pi r^2h\\

Substitute 432π for V

432\pi = \pi r^2h

Divide through by π

432 = r^2h

Make h the subject:

h = \frac{432}{r^2}

Surface Area (A) of a cylinder is calculated as thus:

A=2\pi rh+2\pi r^2

Substitute \frac{432}{r^2} for h in A=2\pi rh+2\pi r^2

A=2\pi r(\frac{432}{r^2})+2\pi r^2

A=2\pi (\frac{432}{r})+2\pi r^2

Factorize:

A=2\pi (\frac{432}{r} + r^2)

To minimize, we have to differentiate both sides and set A' = 0

A'=2\pi (-\frac{432}{r^2} + 2r)

Set A' = 0

0=2\pi (-\frac{432}{r^2} + 2r)

Divide through by 2\pi

0= -\frac{432}{r^2} + 2r

\frac{432}{r^2} = 2r

Cross Multiply

2r * r^2 = 432

2r^3 = 432

Divide through by 2

r^3 = 216

Take cube roots of both sides

r = \sqrt[3]{216}

r = 6

Recall that:

h = \frac{432}{r^2}

h = \frac{432}{6^2}

h = \frac{432}{36}

h = 12

Hence, the dimension that requires the least amount of material is when

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3 0
3 years ago
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bezimeni [28]

Answer:

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3 years ago
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Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

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kolbaska11 [484]

Answer:

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