All categories

2 years ago

What is the minimum value for z =3x-1/2y over feasibility region defined by the constraints shown above

Mathematics

2 answers:

kvasek [131]2 years ago

8 0

-4 did mostly on paper and like person below already explained it!

Sergio039 [100]2 years ago

4 0

To obtain the minimum value of z, the first term of the binomial equation should be as small as possible, while the second term should be as large as possible. Thus, you must choose the lowest boundary of x which is 0. Then, choose the highest boundary of y which is 8. So, we substitute this to the equation:

$z=3x- \frac{1}{2}y$

$z=3(0)- \frac{1}{2}(8)=-4$

So, the minimum value of z is -4.

You might be interested in

If f(x)= 3x squares +1 and g(x) =1-x what is the value of (f-g)(2)

ZanzabumX [31]

Answer: (f-g)(2)=14

Step-by-step explanation:

(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.

Method 1

f(2)=3(2)²+1 [exponent]

f(2)=3(4)+1 [multiply]

f(2)=12+1 [add]

f(2)=13

g(2)=1-(2) [subtract]

g(2)=-1

(f-g)(2)=13-(-1) [subtract f(2) and g(2)]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Method 2

(f-g)(x)=3x²+1-(1-x) [distribute -1]

(f-g)(x)=3x²+1-1+x [combine like terms]

(f-g)(x)=3x²+x

(f-g)(2)=3(2)²+2 [plug in x=2, exponent]

(f-g)(2)=3(4)+2 [multiply]

(f-g)(2)=12+2 [add]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Now, we know that (f-g)(2)=14. We confirmed this with both methods.

8 0

3 years ago

Marina has $145 to spend. She spends $68. 50 on jeans. T-shirts cost $12. 75. Write and solve an inequality to find the greatest

Kruka [31]

Answer:

Step-by-step explanation:

145-68.50 = 76.50

76.20/12.75 = no of t-shirts she can buy

ans= 6

6 0

2 years ago

Find the equation of a line perpendicular to -x=4-y that passes through the point (-3,8)

Wewaii [24]

9514 1404 393

Answer:

y = -x +5

Step-by-step explanation:

Solving the given equation for y, we have ...

y = x +4

The slope of this line is the coefficient of x: 1. The slope of the perpendicular line will be the opposite reciprocal of this: -1/1 = -1. The y-intercept of the perpendicular line can be found from ...

b = y -mx = 8 -(-1)(-3) = 5

The perpendicular line has equation ...

y = -x +5

8 0

2 years ago

Plz help im bad and i need to know the answer and free brainest

Amiraneli [1.4K]

There’s no picture?sorry can you repost?

3 0

2 years ago

Mrs. Kennard has a circular garden with radius of 4.5 ft. she wants to put up a wood fence around half of garden and a steel fen

sveticcg [70]

Answer:108.33, assuming that the wood fence goes around the garden and doesn’t cut across it as well

Step-by-step explanation: 4.5 times 2 times pi to find circumference. Divide by 2 because it is only half of garden. Times by 12 to convert to inches. Divide by 36. Multiply by 23.

6 0

2 years ago