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3 years ago

Max p=3x+2y subject to 5x+y<16 2x+3y<22 x>0 y>0

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

Answer:For all the corner points, the maximum is at point (1, 3)

From the graph of the constraints, the corner points of the feasibility region are (0, 0), (0, 10/3), (1, 3), (2, 0)

For (0, 0): p = 0 + 2(0) = 0

For (0, 10/3): p = 0 + 2(10/3) = 20/3 = 6.67

For (1, 3): p = 1 + 2(3) = 1 + 6 = 7

For (2, 0): p = 2 + 2(0) = 2

Therefore, solution = (1, 3)

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The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o

Anna11 [10]

The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
y-------> the width of the base of the rectangular prism

we know that
volume of the prism=area of the base*height
volume=48 ft³
height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²
area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x²+2x------> x²+2x-64=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft

4 0

3 years ago

WILL MARK BRAINILESTWhich statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options.

shutvik [7]

Answer:

Statements 2, 4, and 5

Step-by-step explanation:

15≥22+x

okay so that's

22+x≤15

and that is

x≤-7

the graph would not be a closed circle, it is a vertical line.

this means your 3 correct statements would be:

x less-than-or-equal-to negative 7,

–6 is part of the solution.

–7 is part of the solution.

the last two are true based on the inequality.

7 0

3 years ago

-2•f(-6) - 7•g(-7) Can someone please help me

pantera1 [17]

Answer:

Your answer is: 12f + 49g

Simplify each term.

Step-by-step explanation:

Hope this helped : )

5 0

3 years ago

The table shows the price p, for renting for a d days from a car rental company?

masha68 [24]

$\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{Days}{d}&\stackrel{Price}{P}\\ \cline{1-2} 1&\$115\\ 2&\$150&\leftarrow 115+\stackrel{35(1)}{35}\\ 3&\$185&\leftarrow 115+\stackrel{35(2)}{35+35}\\ 4&\$220&\leftarrow 115+\stackrel{35(3)}{35+35+35}\\ d&&\leftarrow 115+35d\\ \cline{1-2} \end{array}~\hfill \stackrel{part~A}{P(d)=35d+115} \\\\\\ ~\hspace{34em}$

part B)

the slope is always in a linear equation, the coefficient of the independent variable, in this case namely "35".

35 or 35/1 dollars/day means

for every passing day the car is rented out, the charge is $35, so if you rent the car "d" days, you'll be charged 35d.

7 0

3 years ago

Choose all of the items that represent functions of an operating system.

PolarNik [594]

Answer: I’m pretty sure it’s A, B, D, and E in other words 1, 2, 4, and 5

5 0

3 years ago