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
sashaice [31]
3 years ago
12

Find the maxium valve C=6x+2y. Subject to the following constraints x≥0, x≤5, y≥0, 4x-y≥1

Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

The maximum value of C is 68

Step-by-step explanation:

we have the following constraints

x\geq 0 ----> constraint A

x\leq 5 ----> constraint B

y\geq 0 ----> constraint C

4x-y\geq 1 ----> constraint D

Find out the area of the feasible region, using a graphing tool

The vertices of the feasible region are

(0,0),(5,19),(5,0)

see the attached figure

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

C=6x+2y

For (0,0) -----> C=6(0)+2(0)=0

For (5,19) -----> C=6(5)+2(19)=68

For (5,0) -----> C=6(5)+2(0)=30

therefore

The maximum value of C is 68

You might be interested in
Please answer this correctly without making mistakes
IrinaVladis [17]

Answer:

44 5/6 "the second one"

5 0
3 years ago
2. In the triangle below, NE and KL are perpendicular bisectors. Knowing that the sum of interior angles in
Stells [14]

Answer:

a = 60°

Step-by-step explanation:

From the picture attached,

In the given triangle,

NE and ML are the perpendicular bisectors of two sides of the triangle.

Therefore, m∠MEK = m∠MLK = 90°

Since, sum of interior angles of polygon KLME = 360°

m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°

90° + 90° + 120° + a = 360°

a = 360° - 300°

a = 60°

5 0
3 years ago
I will be marking brainliest please help me with these questions.
krek1111 [17]

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

7 0
3 years ago
Robert is looking to buy a deep fryer. He has narrowed his search down to two models. The following table gives the details of t
Zinaida [17]
The total cost for the entire life span of the deep fryer  is computed below:
Brand P total cost =Purchase price + total electricity cost 
                                = $144+($0.49x8x12x6)
                                =$426.24
Brand Q total cost =(Purchase price x 3)+ total electricity cost
                                =( $37.5x3)+($0.75x 8x12x6)
                                =   $544.5
Difference = Brand Q-Brand P
                   =$544.5-$426.24
                   =$118.26
Robert will have to choose Brand P because it will be cheaper by $118.26 than Brand Q in their entire lifetime.
                     
5 0
3 years ago
Read 2 more answers
Need help again math 7th grade ​
Olenka [21]

Answer: 1/2 as a fraction

.5 as a decimal

Step-by-step explanation: The probability of them rolling a number would be 3/6 or simplified 1/2 because if there is a 6 sided dice the denominator would be 6 and there are 3 odd numbers on the dice which are 1,3,and 5 so if u have to simplify it would be 1/2 if not 3/6. Also 1/2 as a decimal would be .5

4 0
3 years ago
Read 2 more answers
Other questions:
  • jaylyn rode her bicycle in a bike-a-thon. she rode 33.48 miles in 2.7 hours. if she rode at the same speed, what was her speed i
    9·2 answers
  • Please help extra points cuz ik this will be hard and some time to do
    15·2 answers
  • Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3 over 2x + 5.
    7·1 answer
  • Find the surface area of the figure below. Leave answer in terms of π.
    13·2 answers
  • Which of these are factors of 121?
    6·2 answers
  • At the theater, Fred purchased x popcorns and y drinks. He spent a total of $26. The equation below describes the relationship b
    7·2 answers
  • 6r^2+6r+12=0<br>solve the square​
    14·1 answer
  • K=3yz solve for y algebra 1
    15·1 answer
  • PLEASE HELP ME ILL GIVE 70 POINTS AND MARK BRAINLIEST
    14·1 answer
  • Someone please help me answer question in attachment..
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!