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
Galina-37 [17]
4 years ago
12

A local bagel shop produces two products: bagels (B) and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast,

and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's production run. Bagel profits are 20 cents each, and croissant profits are 30 cents each. --------------------- a) Max Profit = X _______ +Y ___________ (use cents) b) Subject to: _____X + ______Y <= ________Flour, _____X + ______Y <= ________Yeast _____X + ______Y <= 4800 Sugar X,Y >= 0

Mathematics
1 answer:
KengaRu [80]4 years ago
4 0

Answer:

  see below

Step-by-step explanation:

If we let X represent the number of bagels produced, and Y the number of croissants, then we want ...

(a)   Max Profit = 20X +30Y

(b)   Subject to ...

     6X +3Y ≤ 6600 . . . . . . available flour

     X + Y ≤ 1400 . . . . . . . . available yeast

     2X +4Y ≤ 4800 . . . . . . available sugar

_____

Production of 400 bagels and 1000 croissants will produce a maximum profit of $380.

__

In the attached graph, we have shaded the areas that are NOT part of the solution set. (X and Y less than 0 are also not part of the solution set, but are left unshaded.) This approach can sometimes make the solution space easier to understand, since it is white.

The vertex of the solution space that moves the profit function farthest from the origin is the one we are seeking. The point that does that is (X, Y) = (400, 1000).

You might be interested in
Using the following image, determine if the triangles are similar. If so, how?
dolphi86 [110]
They are similar and the answer is SSS
5 0
3 years ago
Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit​
andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. We can plug in 4\sqrt{2} = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\

(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2

32 = (4)^2 + (7-k)^2

32 = 16 + (7-k)^2

32 - 16 =  (7-k)^2

16 =  (7-k)^2

\sqrt{16} =  (7-k)

4 = 7-k

k = 3

4 0
3 years ago
A father is now twice as old as his son. If the sum of their ages ten years ago was fifty two, how old are they today?​
Oliga [24]

Answer:

24 and 48

Today, the son is 24 years old, and the father is 48 years old.  

Step-by-step explanation:

(x - 10) + (2x - 10) = 52

3x + 20 = 52

3x = 72

x = 24

The father is 2 times his son's age.

2x

= 2(24)

= 48

So, the son is 24 and the father is 48.

10 years ago, son was 14 and father was 38, if added, this adds up to 52, so we know our calculations are correct.

3 0
3 years ago
Read 2 more answers
How many quarts are in a milliliter
grin007 [14]
There is 0.00105669 quarts in a milliliter 
3 0
3 years ago
The Washingtons but a studio apartment for $240,000. They pay a down payment of $60,000. What percent of the purchase price woul
Ludmilka [50]
It would be 5%. I know the answer is right I just don’t know how to explain it. Sry. But I hope this helps.
5 0
3 years ago
Other questions:
  • What is g(4) if g(x)=x^2-5
    8·1 answer
  • Which of the following is the graph of Y -
    5·1 answer
  • Someone help me answer this what is the answer?
    11·1 answer
  • A game has 3 possible outcomes, with probabilities p1, p2, and p3. The amount of money that you will win or lose for each outcom
    14·2 answers
  • Solve each system of equations using substitution. #4 is done for you.
    11·1 answer
  • The midpoint of Line
    5·1 answer
  • Someone please help<br> Find the common difference of 49, 43, 37
    13·1 answer
  • Pls help!will give brainliest!
    14·1 answer
  • The graph shows the relationship between the distance that a snail crawls and the time that it crawls.
    9·1 answer
  • Sketch the graph: y=1/3x+2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!