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Karo-lina-s [1.5K]
4 years ago
14

Find the maximum and minimum values of the objective function f(x, y) and for what values of x and y they occur, subject to the

given constraints.
f(x, y) = 10x + 4y
x ≥ 0
y ≥ 0
2x + 10y ≤ 100
9x + y ≤ 54

a. max at (5,9)=69, min at (0,0)=0
b. max at (6,12)= 108, min at (0,0)=0
c. max at (0,10)=40, min at (0,0)=0
d. max at (6,0)=60, min at (0,0)=0

D. is not the answer
Mathematics
1 answer:
Annette [7]4 years ago
8 0

Answer:

c. max at (0,10)=40, min at (0,0)=0

if not c then A

Step-by-step explanation:

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Express the amount that results from 100 dollars invested at 5 percent compounded continuously after a period of 2 years.
nalin [4]

9514 1404 393

Answer:

  $110.52

Step-by-step explanation:

The formula for the amount resulting from continuous compounding is ...

  A = P·e^(rt) . . . . . principal P compounded continuously at annual rate r for t years

Using your values, we have ...

  A = 100·e^(0.05·2) = 100e^0.1 = 110.52

The resulting amount is $110.52.

3 0
3 years ago
Hafya measured the length of her room and found it was 4.5 yards long. About how many meters is the length of her room?
bezimeni [28]

Answer:

4.5

Step-by-step explanation:

1 yard = about 1 meter

8 0
3 years ago
Read 2 more answers
Can you help me find X please.​
Mashcka [7]
The answer is 5 I’m not sure if this is correct
4 0
3 years ago
A conjecture and the flowchart proof used to prove the conjecture are shown.Drag an expression or phrase to each box to complete
Mice21 [21]

Solution: The solution is shown is below figure.

Explanation:

From the given information JKLM is a parallelogram and \underset{LN}{\rightarrow} bisects \angle KLP. So Blank 1 is filled by Given and blank 2 is filled by \underset{LN}{\rightarrow} bisects \angle KLP.

Parallelogram is a quadrilateral  whose opposite sides are equal or parallel. Since it is given that JKLM is a parallelogram, therefore the side JM is parallel to the side KL. So blank 3 filled by Definition of parallelogram.

If a line bisects an angle it is means it divides the angle in two equal parts. Since \underset{LN}{\rightarrow} bisects \angle KLP, therefore \angle 2\cong \angle 3. Hence the blank 4 is filled by Definition of bisect.

The transitive property of congruence states that if \angle 1\cong \angle 2 and \angle 2\cong \angle 3, then \angle 1\cong \angle 3. Thus, the blank 5 is filled by Transitive Property of Congruence.

5 0
4 years ago
Which points are solutions to the system of inequalities shown below check all that apply y>x+1
Arte-miy333 [17]

The points which satisfy the inequalities in discuss are; Choices D (7,10) and F(8,17).

<h3>Which points omg the answer choices satisfy the system of inequalities?</h3>

It follows from the inequality; x > 5.

Also, substituting 5 for x in; y < 2(x); we have;

y < 10.

Hence, the points which satisfy the inequalities are; (8,17) and (7,10).

Read more on inequalities;

brainly.com/question/11613554

#SPJ1

5 0
2 years ago
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