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
CaHeK987 [17]
3 years ago
5

Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

Maximize C =9x + 7y

8x + 10y \leq 17

11x + 12y\leq 25

and x ≥ 0, y ≥ 0

Plot the lines on graph

8x + 10y \leq 17

11x + 12y\leq 25

x\geq 0

y\geq 0

So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)

Substitute the points in  Maximize C

At  (0,1.7)

Maximize C =9(0) + 7(1.7)

Maximize C =11.9

At  (2.125,0)

Maximize C =9(2.125) + 7(0)

Maximize C =19.125

At   (0,0)

Maximize C =9(0) + 7(0)

Maximize C =0

So, Maximum value is attained at   (2.125,0)

So, the optimal value of x is 2.125

The optimal value of y is 0

The maximum value of the objective function is 19.125

You might be interested in
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
monitta
The answer is
A cuz 3^2+4^2=5^2
5 0
3 years ago
My brother is 5 years older than me. My sister is 3 years younger than me. a How old will my sister be when I am 17?
pentagon [3]
I think the answer is 14
8 0
3 years ago
The animal department wants to estimate baboon population. So they paint 50 baboons with a mark. These baboons were then release
Svet_ta [14]

Answer:

  600 baboons

Step-by-step explanation:

Half the number of marked baboons showed up in the sample, so we expect the sample size to be about half of the total population. 300 is half of 600.

___

Many assumptions are involved in such an experiment and analysis. Not the least of which are the assumptions that the marked baboons end up evenly distributed through the population, and that the sample is a fair sample of the entire population.

3 0
2 years ago
4. The town of Euclid started a voluntary recycling program. The first year it was utilized by 1500 residents.
V125BC [204]

Answer:

170,070 residents

Step-by-step explanation:

Original population = 1500 residents

Total population after 6 years is calculated using the formula

A = P(1+r)^t

r is the rate = 120% = 1.2

t is the time = 6 years

P is the original population

A = 1500(1+1.2)^6

A = 1500(2.2)^6

A = 1500(113.379904)

A = 170,069.856

4 0
2 years ago
Describe the difference between algebraic expressions and numerical expressions.
Mila [183]
The difference between an algebraic expression and a numerical expression is that algebraic expressions contain numbers and variables. Numerical expressions only contain numbers. 

Ex:
Algebraic Expression- 5x+9
Numerical Expression- 4+2
7 0
3 years ago
Other questions:
  • E=m*c^2 find out what m equal
    6·1 answer
  • Mr.Rosenbaum purchases a $75 pair of shoes while on vacationin georgia where the sales tax os 4 percent. a.what is the sales tax
    7·2 answers
  • Help! Please! Geometry!!
    15·1 answer
  • Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
    15·1 answer
  • Solve the problem.<br> Find the radius of a circle that has a circumference of 942 meters.<br> m
    10·1 answer
  • On mars if you hit a baseball, the height of the ball
    6·1 answer
  • Which of the following statements is false?
    6·1 answer
  • What is the first 8 multiples of 4?
    7·1 answer
  • Find the height of a cone when its diameter is 8 inches and the volume is 100 cubic inches
    12·1 answer
  • Ill mark brainliest, question is attached.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!