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chubhunter [2.5K]
3 years ago
15

Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 450 square feet. The material that

will be used for three sides costs $21 per linear foot, and the material that will be used for the fourth side costs $15 per linear foot. Write a function that expresses the cost of fencing the region in terms of the length, x, of the two opposite sides of the region with material costs of $21 per linear foot.
Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Answer:

The problem is stated as:

Min C = 15*(2*x +y) + 21*y

subject to x*y = 450

Step-by-step explanation:

Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:

A = x*y = 450

One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:

C = 15*(2*x +y) + 21*y

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Solve equation show all steps what 2x-3x+5=18
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Let's solve your equation step-by-step.

2x-3x+5=18

Step 1: Simplify both sides of the equation.

2x-3x+5=18\\2x + -3x + 5 = 18

( 2x + -3x ) + ( 5) = 18 (Combine Like Terms)

-x + 5 = 18\\-x + 5 = 18

Step 2: Subtract 5 from both sides.

-x + 5 - 5 = 18 - 5 \\-x = 13

Step 3: Divide both sides by -1.

\frac{-x}{-1} = \frac{13}{-1} \\x = -13

Answer : \boxed {x = -13}

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Have a great day/night!

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