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
Paul [167]
3 years ago
13

What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

You might be interested in
Please help!! I'll give 30 points and brainliest.
Valentin [98]

Step-by-step explanation:

3 + \frac{9}{4} = \frac{9}{x+4} \\  \\  \therefore \: \frac{3 \times 4 + 9}{4} = \frac{9}{x+4}  \\  \\ \therefore \: \frac{12 + 9}{4} = \frac{9}{x+4}  \\  \\ \therefore \: \frac{21}{4} = \frac{9}{x+4} \\  \\ \therefore \:21(x + 4) = 36 \\  \\ \therefore \:21x + 84 = 36\\  \\ \therefore \:21x = 36 - 84\\  \\ \therefore \:21x = - 48\\  \\  \therefore \:x =  \frac{-48}{21} \\  \\ \therefore \:x =  \frac{-16}{7} \\  \\  \huge \red{ \boxed{ \therefore \:x = - 2 \frac{2}{7} }}\\  \\

8 0
3 years ago
Which of the following formulas would find the surface are of a right cylinder where h is the height, r is the radius, and BA is
xz_007 [3.2K]
A=2πrh+2πr is the formula for cylindrical surface area
8 0
3 years ago
Five tickets to a play cost $38. What does each ticket cost if they all cost the same?
ra1l [238]

Answer:

this mah not be right but i believe it is 7.6

Step-by-step explanation:

if i did it correctly where you just divide 38 by 5 it should be 7.6

6 0
3 years ago
One dozen eggs cost $1.98. If the charge at the register for only eggs, without tax, was $11.88, how many dozen were purchased?
inysia [295]

Answer:

They purchased 6 dozen eggs

Step-by-step explanation:

The total cost is the cost per dozen times the number of dozen purchased

total cost = 1.98 * n  where n is the number of dozen

11.88 = 1.98n

Divide each side by 1.98

11.88/1.98 = 1.98/1.98 * n

6=n

They purchased 6 dozen eggs

7 0
3 years ago
Please need help on this
Aleonysh [2.5K]
The answer is 1/3 is the answer.

4 0
3 years ago
Other questions:
  • What is the factorization of 3x^2 + 6x - 24 ???
    8·1 answer
  • 5. We can perform the logical operations on strings of bits by considering each pair of corresponding bits separately (called bi
    5·1 answer
  • Plz help me with this
    10·1 answer
  • Write an algebraic expression for the phrase the sum of g and 3.
    8·1 answer
  • I need help with this
    10·2 answers
  • F = 2xi+3yj and σ is the cube with opposite corners at (0,0,0) and (3,3,3), oriented outwards. Find the flux of the flow field F
    14·1 answer
  • Help please It's for my math test Algebra I content.
    14·1 answer
  • If the midpoint between (18,y) and (20,-15) is (19,-5) find the value of y.​
    9·2 answers
  • There is a sale on a gallon of milk at the grocery store. The original price was $2.99 and the new price is $2.49. What is the p
    11·1 answer
  • Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(U
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!