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3 years ago

Find the minimum value of C=2x+y subject to the following constraints: Please help me!!

Mathematics

1 answer:

-BARSIC- [3]3 years ago

7 0

Answer:

The minimum value of C is 20

Step-by-step explanation:

we have

$2x+3y\geq 24$ ----> constraint A

$4x+y\geq 38$ ----> constraint B

$x\geq 0$ ----> constraint C

$y\geq 0$ ----> constraint D

Using a graphing tool

The solution set of the constraints is the shaded area

see the attached figure

The vertices of the shaded area are (0,38),(9,2) and (12,0)

To determine the minimum value of C substitute the values of x and y of each vertex in the objective function and then compare the results

$C=2x+y$

For (0,38) ---> $C=2(0)+38=38$

For (9,2) ---> $C=2(9)+2=20$

For (12,0) ---> $C=2(12)+0=24$

therefore

The minimum value of C is 20

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Likurg_2 [28]

Forty three million, eighty thousand, seven hundred

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3 years ago

Read 2 more answers

(4x + 4)(ax – 1) – x2 +4

Oksana_A [137]

Answer:

b=-3

Step-by-step explanation:

If the expression simplifies to bx that means the $x^{2}$ terms and the constant terms must be cancel out.

Simplify it first.

$(4x+4)(ax-1)-x^{2} +4\\=(4ax^{2} -4x+4ax-4)-x^{2} +4\\=4ax^{2} -x^{2} -4x+4ax-4+4\\=4ax^{2} -x^{2} -4x+4ax$

We know –4 + 4 will cancel out. If we simplify this expression to only an x term, then the $x^{2}$ terms should be cancelled. Therefore, we say that 4ax^2 – x^2 = 0.

$4ax^{2} -x^{2} =0\\x^{2} (4a-1)=0\\4a-1=0\\4a=1\\a=\frac{1}{4}$

If we put a = ¼, then we can find the value of b:

$=4(\frac{1}{4} )x^{2} -x^{2} -4x+4(\frac{1}{4} )x\\=x^{2} -x^{2} -4x+x\\ (cancel out x^{2} terms)\\$

$=-3x$

$bx=-3x\\$ if the expression is equivalent to bx

Therefore, b = –3.

8 0

3 years ago

Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They h

Assoli18 [71]

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

Find out more at: brainly.com/question/25285332

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2 years ago

What is the answer to this calculus problem???<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28e%20%7B%7D%5E

Len [333]

Answer:

see explanation

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)g(x), then

$\frac{dy}{dx}$ = f(x). g'(x) + g(x). f'(x)

here f(x) = $e^{x}$ ⇒ f'(x) = $e^{x}$

g(x) = cosx ⇒ g'(x) = - sinx

Hence

$\frac{dy}{dx}$ = $e^{x}$ (- sinx) + cosx $e^{x}$

= $e^{x}$ cosx - $e^{x}$ sinx

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3 years ago

F(x)= 2-1/x<br>g(x)= x/2<br><br>what is f(g(x))?

kompoz [17]

To find f(g(x)), plug g(x) into f(x) and simplify.

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All you have to do is simplify the right side of the equation.

Take it from here.

8 0

3 years ago