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Montano1993 [528]
3 years ago
13

What POINT maximizes the objective function p= 4x+3y for the constraints below.

Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0

A point that satisfies the criteria is (4,5) p=31.
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PLEASE PLEASE HELP. FRACTIONSSSS
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the length of a rectangle is twice its width. the perimeter of the rectangle is no more than 174cm. what is the greatest possibl
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Profit is equal to the revenue obtained from selling items minus the cost of producing those items, i.e. P(x) = R(x) – C(x) wher
DIA [1.3K]
P(x)=R(x)-C(x)
Given that:
R(x)=2.5x and C(x)=0.5x+3
Then,
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the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
AveGali [126]

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

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2 years ago
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What is 10.4% as a fraction?
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10.4% as a fraction is 104/1000
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