Baking a tray of chocolate chip cookies takes three cups of milk and two cups of flour. Baking a tray of oatmeal raisin cookies takes one cup of milk and four cups of flour. The baker has 9 cups of milk and 16 cups of flour available. He makes $2.50 profit per tray of chocolate chip cookies and $2 profit per tray of oatmeal raisin. How many trays of each type of cookies should be make to maximize his profit?

Answers

Answer 1

Step-by-step explanation:

this is a linear programming problem.

the objective is to maximize profit

let the chocolate be x

and cookies be y

Maximize

2.5x+2y=P

constraint milk

3x+y=9------------------1

constraint flour

2x+4y=16----------------2

solving 1 and 2

3x+y=9

2x+4y=16

multiply 1 by 2 and 2  3 to eliminate x we have

  6x+2y=18

 6x+12y=48

-0-10x=-30

10y=30

y=30/10

y=3

put y= 3 in eqn 1 we have

3x+3=9

3x=9-3

3x=6

x=6/3

x=2

two trays of chocolate

three trays of cookies

2.5x+2y=P

2.5(2)+2(3)=P

5+6=P

P=$11


Related Questions

14x2 + 28x5=
???????????

Answers

Answer:

168

Step-by-step explanation:

Find the maximum value of the function f(x) = -x^2 + 3x +2

Answers

Answer:

4.25

Step-by-step explanation:

-x^2 + 3x + 2 = 0

Divide by -1

X^2 -3x - 2 = 0

x^2-3x+ =2+2.25

(x-1.25)-4.25

(x-1.5)

Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
F) (x, y ) → (2x, 2y)
G) (x, y ) → (1.5x, 1.5y)
H) (x, y ) → (3x, 3y)
J) (x, y ) → (4x, 4y)

Answers

Answer:

F

Step-by-step explanation:

find the equation of the line shown

Answers

Answer:

y=2x

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

y intercept = 0

slope = rise/run

rise = 2

run = 1

2/1=2

slope is 2

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.

Answers

Answer:

100 miles

Step-by-step explanation:

Let the number of miles driven = x

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.

$55 + $0.25x

55 + 0.25x

For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.

$45 + $0.35x

45 + 0.35x

Equation :

55 + 0.25x = 45 + 0.35x

The number of miles for which the companies’ charges will be the same is calculated as:

55 + 0.25x = 45 + 0.35x

Collect like terms

55 - 45 = 0.35x - 0.25x

10 = 0.10x

x = 10/0.10

x = 100 miles

The number of miles for which the companies’ charges will be the same is

100 miles.

Find the mean of the binomial distribution for which n = 60 and p = 0.2. 10)
A) 3.1 B) 60 C) 12 D) 30

Answers

Gffhudghdhufvhcfgbvd
sorry i’m just trying to be able to do my question bah

What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?

Answers

Answer:

b=-7    or the y-intercept is -7

Step-by-step explanation:

-7= =3(0)+b

-7=b

M= 1/2
M= 2
M= -1/2
M=-2

Answers

Answer:

It should be 1/2

Step-by-step explanation:

the slope is =1/2 so the first option

I need help please, can you help me?

Answers

Answer:

x= 16 degrees

Step-by-step explanation:

the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .

PLEASE HELP! 50 points!
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.

The graph represents which system of inequalities?
A. y ≤ −2x + 3
y ≤ x + 3
B. y ≥ −2x + 3
y ≥ x + 3
C. y ≤ −3x + 2
y ≤ −x + 2
D. y > −2x + 3
y > x + 3

Answers

Answer:

C. y ≤ −3x + 2 . Not sure, but I'm kind of confident in my answer.

8. What is the result of (11x + 18i)(117 - 18i)?

Answers

1287x + 342 +(-198x + 2106) i

2x
Y=——— solve for a
a + 2b

Answers

Answer:

y= 2b

Step-by-step explanation:

a +2b

so make a the subjects of formular

a= 2b

3. Combine terms: 12a + 26b -4b – 16a.

(a) 4a + 22b,

(b) -28a + 30b,

(c) -4a + 22b,

(d) 28a + 30b.

Ok this was the hardest to answer....

Answers

Answer:

C

Step-by-step explanation:

Add 12a + -16a

Add 26 + -4b

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)

Answers

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

Choose the stems that would be used to create a stem-and-leaf plot from this data: 28, 32, 38, 30, 31, 13, 36 35, 38, 32, 38, 15, 13, 24

Answers

Answer:

Step-by-step explanation:

3

Answer:

The best stems would be: 1, 2, and 3

Step-by-step explanation:

When you are making the stem and leaf plots, you are using the diget in the tens place as the stem

Ryan and two of his friends contribute $8.33 each, to buy a baseball bat from a sports shop. Find
the price of the baseball bat.

Answers

Answer:

24.99

Step-by-step explanation:

The price of the baseball bat is $24.99 :)

A package of 5 pairs of insulated gloves costs $33.95. What is the unit price of the pairs of gloves?

Answers

Answer:

6.79

Step-by-step explanation:

Divide the number of whatever you have, by the price of it in total to find the unit price.

Answer:

$6.79 per pair

Step-by-step explanation:

1. Divide

33.95/5

2. Simplify

33.95/5=$6.79

what percentage is equal to 32/100 ​

Answers

32% I would guess ? :)

Answer:

32%

Step-by-step explanation:

32/100 is 32%

what is an expression equivalent to m^238/m^-79 in the form m^v, where v is an integer?

Answers

Answer:

[tex]m^{317}[/tex]

Step-by-step explanation:

In indices, the division postulate is true:

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

Apply this to the question:

[tex]\frac{m^{238}}{m^{-79}} \\= m^{238-(-79)}\\= m ^{238+79}\\= m^{317}[/tex]

Hence the expression expressed in the form [tex]m^v \ is \ m^{317}[/tex]


Part A
What is the slope of the line?
A. - 1 / 2
B. -2
C.
D. 2
Part B
Conner says the graph shows that water is flowing at a rat of 2 gallons per minute. Is he correct? Use the drop-down menus to explain your answer

Conner (choose...) correct answer because the rate of the water flowing is (choose...) the slope. Water is flowing at a rate that is (choose...) 2 gallons per minute.

Answers

Answer:

2

Step-by-step explanation:

The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2

a rectangular television's length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?
A. 23
B. 24
C. 25
D. 26
can someone explain bc I got small brain ykyk

Answers

Answer: A. 23

23 - Width

23x2 = 46

46+3 = 49

So..

49 - Length

lx2+wx2 = perimeter

49x2 = 98

23x2 = 46

98+46 = 144

The width of the television will be 23 inches. Then the correct option is A.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.

L = 2W + 3                  ...1

144 = 2(L + W)            ...2

From equations 1 and 2, then have

144 = 2(2W + 3 + W)

72 = 3W + 3

3W = 69

W = 23 inches

The width of the television will be 23 inches. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

what’s the first step?

Answers

Multiply 4 and x and 4 and 4

Answer:

It's correct answer

Step 1: Multiply 4 times x then 4 times 4

Step-by-step explanation:


Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.

Answers

Answer:

37: 36

Step-by-step explanation:

You can not simplify. Have a good day!

Is 6.825 rational or irrational

Answers

Answer:

rational since all decimals that terminate are rational here is a sheet to help

6.825 is rational number.

What are rational numbers?

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The set of rational numbers is denoted by Q.

Given number: 6.825

Now, we know Terminating decimals like 0.35, 0.7116, 0.9768, etc., are rational numbers.

So, we can see that 6.825 is terminating decimal.

Learn more about rational and irrational number here:

https://brainly.com/question/24398433

#SPJ2

4 more than one third of a number n is 6. An equation is? The solution is n =?

Answers

Answer:

 [tex]\frac{1}{3}[/tex]n  + 4  = 6  

6

Step-by-step explanation:

Given problem:

      4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number  = ?

Solution:

 let the number  = n

So, 4 more than one third of a number;

  One third of n = [tex]\frac{1}{3}[/tex]n

  4 more;

                [tex]\frac{1}{3}[/tex]n  + 4

   is 6;

             [tex]\frac{1}{3}[/tex]n  + 4  = 6   (equation of the expression)

Let us now solve the equation:

                         [tex]\frac{1}{3}[/tex]n  + 4  = 6  

                    [tex]\frac{1}{3}[/tex]n = 6 - 4

                   [tex]\frac{1}{3}[/tex]n = 2

                     n = 6

I’ll give the Brainliest.

Answers

Answer:

1.w+15=165

2.w equals 165 multiplied by 15

Step-by-step explanation:

There's really no step-by-step explanation  its pretty simple.

any luck of help? I'll brainlist uu promise . I really need it for correction :)

Answers

Answer:

the cist of entry for x adults

Answer:

i think it would be d)

Step-by-step explanation:

cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable

hope this helped :)

{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent​

Answers

Answer:

The answer is 5³.

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]

[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]

[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]

So for this question :

[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = {5}^{10} \div {5}^{7} [/tex]

[tex] = {5}^{3} [/tex]

A quarterback dropped back 5 yards behind the lone of scrimmage. Then, he passed the ball 14 yards. How far past the line of scrimmage did the ball travel? (Write an equation to represent this problem)

Answers

Answer:

9 yards

Step-by-step explanation:

-5 + 14 = 9

Can someone please help me this question. It’s due today I will appreciate it .

Answers

49
You have a line on the right crossed by two other lines the line means 180 degree up degree is 131 which means the other line has same degree
So now u need outer angle so 180-131=49
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