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3 years ago

Minimize the objective function P = 45x + 48y for the given constraints.

Mathematics

1 answer:

BabaBlast [244]3 years ago

5 0

Answer:

Following are the solution to the given equation:

Step-by-step explanation:

The graph file and correct question are defined in the attachment please find it.

According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists. The sketch shows the points that are (0,16), (3,1), and (6,0).

by putting each point value into the objective function:

$\to P(0,16) = 768\\\\\to P(3,1) = 183\\\\\to P(6,0) = 270$

Thus, the objective of the function is reduced with a value of 183 at (3,1).

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vova2212 [387]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Order from least to greatest 4/7,5/8,0.7,72%

Olegator [25]

Answer:

$\huge\boxed{\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%}$

Step-by-step explanation:

Two ways.

1. Convert to the decimal:

$\dfrac{4}{7}=4:7=0.\overline{571428}\\\\\dfrac{5}{8}=5:8=0.625\\\\0.7=0.7\\\\72\%=\dfrac{72}{100}=0.72$

therefore

$0.\overline{571428}$

$\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%$

2. Convert to the fractions with common denominator.

$\dfrac{4}{7};\ \dfrac{5}{8}\\\\0.7=\dfrac{7}{10}\\\\72\%=\dfrac{72}{100}=\dfrac{18}{25}$

$LCD=7\cdot8\cdot5\cdot5=1400\\\\\dfrac{4}{7}=\dfrac{4\cdot200}{7\cdot200}=\dfrac{800}{1400}\\\\\dfrac{5}{8}=\dfrac{5\cdot175}{8\cdot175}=\dfrac{875}{1400}\\\\0.7=\dfrac{7}{10}=\dfrac{7\cdot140}{10\cdot140}=\dfrac{980}{1400}\\\\72\%=\dfrac{72}{100}=\dfrac{72\cdot14}{100\cdot14}=\dfrac{1008}{1400}\\\\\dfrac{800}{1400}$

therefore

$\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%$

4 0

4 years ago

Multiply.<br> (5c-3)(-5c+7)<br> Simplify your answer.

castortr0y [4]

(5c-3)(-5c+7)
Answer = -25c2+50c-21

6 0

3 years ago

Write the equation in standard form for the circle with center (-5, 3) and radius 10.

Vladimir [108]

Answer:

x² + y² +10x -6y - 69 = 0

Step-by-step explanation:

We need to write the standard equation of circle with , centre (-5,3) and radius 10 unit . The Standard equation of the circle ⭕ is ,

=> ( x - (-5))² + (y -3)² = r²

=> ( x +5)² + (y-3)² = 10²

=> x² + 25 + 10x + y² +9-6y = 100

=> x² + y² +10x -6y + 31 = 100

=> x² + y² +10x -6y - 69 = 0

<h3>• Hence the equation of the circle is x² + y² +10x -6y - 69 = 0.</h3>

8 0

3 years ago

A particular hybrid car travels approximately 264 miles on a 6 gallon of gas. Find the amount of gas required for an 836 mile tr

Fofino [41]

x = (836/264)*6

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6 0

3 years ago