1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
docker41 [41]
3 years ago
13

DECISION SCIENCE Assume more restrictions. The books pass through two departments: Graphics and Printing, 1. before they can be

sold, X requires 3 hours in Graphics and 2 hours in printing. Y requires 1 hour in graphics and 1 hour in printing. There are 21 hours available in graphics and 19 hours in printing respectively. Solve for x and y.
Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

Answer:

Step-by-step explanation:

The given information can be tabulated as follows:

                          Graphics G     Printing P            Total

X                                      3                 2                    5

Y                                      1                  1                      2

Available                       21                19

We have the constraints as

3x+y\leq 21\\2x+y\leq 19\\x\leq 2\\y\leq 15

Thus we have solutions as

0\leq x\leq 2\\0\leq y\leq 15

You might be interested in
Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |
dsp73

Looks like f(x,y)=x^2+y^2-x^2y+7.

f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1

f_y=2y-x^2=0\implies2y=x^2

  • If x=0, then y=0 - critical point at (0, 0).
  • If y=1, then x=\pm\sqrt2 - two critical points at (-\sqrt2,1) and (\sqrt2,1)

The latter two critical points occur outside of D since |\pm\sqrt2|>1 so we ignore those points.

The Hessian matrix for this function is

H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}

The value of its determinant at (0, 0) is \det H(0,0)=4>0, which means a minimum occurs at the point, and we have f(0,0)=7.

Now consider each boundary:

  • If x=1, then

f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4

which has 3 extreme values over the interval -1\le y\le1 of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

  • If x=-1, then

f(-1,y)=8-y+y^2

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

  • If y=1, then

f(x,1)=8

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

  • If y=-1, then

f(x,-1)=2x^2+8

which has 3 extreme values, but the previous cases already include them.

Hence f(x,y) has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

3 0
3 years ago
If a parabola opens left what would be the equation
faust18 [17]
The answer is x=ay2+by+c
4 0
3 years ago
A.2.1<br> B.5<br> C.21.2<br> D.22.1
satela [25.4K]
The answer is  D. 22.1.
Hope this helps!! Have a good Day!!! :D
8 0
3 years ago
Determine if line AB is tangent to the circle. Type
adoni [48]

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

6 0
3 years ago
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar
Ray Of Light [21]

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Given p(x) = x^3-6x^2+32 when it is divided by  x - 4, the quotient gives

x^2-2x-8

Q(x) = P(x)/d(x)

x^3-6x^2+32/x- 4  =  x^2-2x-8

Factorizing the quotient

x^2-2x-8

x^2-4x+2x-8

x(x-4)+2(x-4)

(x-4)(x+2)

Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)

8 0
2 years ago
Other questions:
  • Please help asap 20 pts
    11·2 answers
  • If the radius is 10 inches , in square inches, what is the circumference of the circle?
    12·1 answer
  • An equivalent ratio for 2/5
    12·2 answers
  • E. Which of the following is NOT a possible probability? a. 25/100 b. 1.25 c. 1 d. 0
    7·1 answer
  • F(x)=a^x which of the following expressions is equal to f(3) * f(4)<br> f(3^4)<br> f(3+4)<br> F(3*4)
    11·1 answer
  • WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM J
    12·1 answer
  • -6(2y + 3) + 6 = 24.
    9·1 answer
  • Which of the following is a good strategy to solve this problem?
    9·2 answers
  • Can someone please help me
    5·1 answer
  • What is the product of -13/8 and 24/5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!