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erastovalidia [21]
3 years ago
8

Graph the feasibility region represented by the given inequalities and find the maximum profit if P = 4x + 5y. x ≥ 5 y ≤ 10 2x -

y ≤ 8
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

First, graph the three inequalities:  x ≥ 5  ,  y ≤ 10  ,  2x - y  ≤ 8

Next, look for the 3 intersections (vertices) of the lines: (5, 2)  ,  (5, 10)   ,  (9, 10)

Finally, input the vertex coordinates into P = 4x + 5y and look for the biggest #.

(5, 2):  4(5) + 5(2)  = 20 + 10  = 30

(5, 10): 4(5) + 5(10)  = 20 + 50  = 70

(9, 10): 4(9) + 5(10)  = 36 + 50  = 86

Answer: maximum profit = 86


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Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost
zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots  and 3 pounds of potatoes will cost her

$ (2\times x + 3\times y)

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ (4\times x + 4\times y)

According to the question,

(2\times x + 3\times y) = 8-----(1)

(4\times x + 4\times y) = 13-----(2)

multiplying (1) by 2 we get,

(4\times x + 6\times y) = 16-----(3)

Deducting (2) from (3) we get,

2\times y = 3

⇒ y = \frac{3}{2} = 1.5------------------(4)

Putting value of y in (1) we get,

(2\times x = 8 - 3\times 1.5) = 3.5

⇒  x =\frac{3.5}{2} = 1.75 ------------(5)

8 0
3 years ago
What is 1 7/10 written as an improper fraction
Len [333]
17/10 is what ur looking for
6 0
3 years ago
Read 2 more answers
Can someone help me with these questions? i’m so lost
spayn [35]

Answer:

Q.5 ab=cd

Q.6 ad=bc

Q.7 ce=ae

Q.8 eb=ed

Q.9 angle D=angle B (opposite angle of parallelogram are equal)

let other angle of parallelogram be x.

angle A+angle B +angle C + angle D= 360° (sum of quadrilateral is 360°)

x+130°+x+130°=360°

2x+260°=360°

2x=360°-260°

2x=100°

x=100/2

x=50°

Q.10 similarly, angle b= angle d

let other angle be x.

x+61°+ x+61°=360°

2x+122°=360°

2x=360°+122°

2x=238°

x=238°/2

x=119°

Q.11 in quadrilateral opposite angles are equal and opposite angle of parallelogram are equal.

Q.12 in quadrilateral opposite angle are equal and opposite angle of parallelogram are equal.

Q.13 in quadrilateral opposite sides are equal and opposite sides are parellel and this property is also present in parallelogram.

q.14 in quadrilateral diagonal bisected each other and diagonal of parallelogram also bisect each other.

8 0
3 years ago
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6600 and his st
Nonamiya [84]

Answer:

4.9%

Step-by-step explanation:

6600 * 107/100 = 66*107 = 7062.

3500 * 101/100 = 35x101 = 3535

7062+3535=10597. Original worth: 10100

10597-10100 = 497

497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%

7 0
2 years ago
-2x^2+5x-4=0 , find the discriminant
BaLLatris [955]

Answer:

The discriminant is -7

Step-by-step explanation:

The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:

b^2 -4ac

Here

b is the co-efficient of x

a is the co-efficient of x^2

and c is the constant

Given equation is:

-2x^2+5x-4=0

Here

a = -2

b = 5

c = -4

Putting the values in the formula for discriminant

= b^2 - 4ac\\= (5)^2 - 4(-2)(-4)\\= 25 - 32\\=-7

As the discriminant is negative, the equation has no real solution.

Hence,

The discriminant is -7

5 0
3 years ago
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