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
Natali5045456 [20]
3 years ago
12

A diet is to contain at least 2400 mg vitamin C, 1800mg Calcium, and 1200 calories every day. Two foods, a dairy-based meal and

a vegan option are to fulfill these requirements. Each ounce of the dairy-based meal provides 50 mg vitamin C, 30 mg Calcium, and 10 calories. Each ounce of the vegan option provides 20 mg vitamin C, 20 mg Calcium, and 40 calories. If the dairy-based meal costs $0.042 per ounce and the vegan option costs $0.208 per ounce, how many ounces of each food should be purchased to minimize costs? What is that minimum cost (per day)?
Physics
1 answer:
Kay [80]3 years ago
4 0

Answer:

The answer is below

Explanation:

Let x represent the number of ounce of dairy based meal and let y represent the number of vegan option in ounce.

Since the diet must contain at least 2400 mg vitamin C, therefore:

50x + 20y ≥ 2400

Since the diet must contain at least 1800 mg Calcium, therefore:

30x + 20y ≥ 1200

Since the diet must contain at least 1200 calories, therefore:

10x + 40y ≥ 1200

Therefore the constraints are:

50x + 20y ≥ 2400

30x + 20y ≥ 1200

10x + 40y ≥ 1200

x > 0, y > 0

The graph was drawn using geogebra online graphing tool, and the solution to the problem is at:

C(30, 45) and D(48, 18)

dairy-based meal costs $0.042 per ounce and the vegan option costs $0.208 per ounce. The cost equation is:

Cost = 0.042x + 0.208y

At C(30, 45);  Cost = 0.042(30) + 0.208(45) = $10.62

At C(48, 18);  Cost = 0.042(48) + 0.208(18) = $5.76

The minimum cost is at (48, 18). That is 48 dairy based meal and 18 vegan

You might be interested in
When a pitcher throws a softball to a catcher, the vibration of the atoms that make up the softball is ____________ energy, whil
Molodets [167]
The vibration is thermal energy ("heat" energy which every object possesses).
The second one is kinetic energy ("motion" energy of a massive object)
5 0
3 years ago
All of the following are true about scientific evidence except: *
goldenfox [79]

Answer:

Your answer is D It does not need to be repeatable.

the reason for this is because C is correct.

You need to be able to experiment on something multiple times so that you can gather further data to imbedded your evidence in facts.

4 0
3 years ago
QUICKKK I NEEEED HELP PLZ!!!!!!!!!!!!
avanturin [10]
There would be martial law (just elaborate on the definition) and the population would go awry(elaborate on subject)
4 0
3 years ago
The pH of coffee is _______ times greater than the pH of pure water.
DENIUS [597]

Answer:

zero times greater

Explanation:

Coffee's pH level is 5

Pure water's pH level is 7

3 0
3 years ago
Name the fundamental units involved in pascal<br>​
gtnhenbr [62]

Explanation:

Hey there!

Here,

Pascal is a unit of pressure.

pressure =  \frac{f}{a}

Now, As per the formula the units are:

kg, m and s^2.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

5 0
3 years ago
Other questions:
  • Which term describes electrons being ejected from a metal surface that light is shining on?
    12·2 answers
  • What is the capital of sweden?
    12·2 answers
  • A person riding a Ferris wheel moves through positions at the top, the bottom, and midheight. In the following questions, you wi
    11·1 answer
  • Which of the following choices best represents a potential stressor?
    8·1 answer
  • Why is the study of black holes important?
    15·1 answer
  • An electron is accelerated by a constant electric field of magnitude 410 N/C. Find the acceleration of the electron. The electro
    8·1 answer
  • What two gases probably dominated precambrian earth's atmosphere?
    7·1 answer
  • Uses of convace, convex mirror​
    13·1 answer
  • Please urgent science question explaining needed
    11·2 answers
  • What is angular frequency​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!