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ruslelena [56]
3 years ago
7

A rectangular garden of area 300 square feet is to be surrounded on three sides by a brick wall costing $ 10 per foot and on one

side by a fence costing $ 5 per foot. Find the dimensions of the garden such that the cost of the materials is minimized.
Business
1 answer:
Alexxandr [17]3 years ago
8 0

Answer:

15 and 20 feet

Explanation:

The computation of the cost of the material minimized is shown below:

As we know that

Area of rectangle = Length × Width

where,

Length be X

Width be Y

So, the equation is

X × Y = 300 square feet

X = 300 ÷ Y

Now the another equation is

C = 10 × (Y + Y + X) + 5X

C = 20Y + 15X

So we can write

C = 20Y + 15 ×  300 ÷ Y

C = 20Y + 4,500 ÷ Y

Now apply the derivatives

So,

DC ÷ DY = 20 - 4,500 ÷ Y^2 = 0

20Y^2 = 4,500

Y = 15

So X = 20

The C = Cost

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Answer:

C) $4,000

Explanation:

To calculate economic profit we can use the following formula:

economic profit = total revenue - (accounting costs + implicit costs) = (total revenue - accounting cost) - implicit costs

where:

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economic profit = $50,000 - $46,000 = $4,000

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Answer:

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Explanation:

given data

parking fee = $4

earn = $10 per hour

time = 4 hour

to find out

opportunity cost

solution

we first find 4 hour earning that is

earning = earn × time

earning = 10 × 4

earning in 4 hours = $40

and

saving = $4

so total opportunity cost = saving + earning

total opportunity cost = $4 + $40

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